How to find the range of a data set. How to set the age range, median, and mean .

How to find the range of a data set A. To find the statistical range or a data set Study with Quizlet and memorize flashcards containing terms like It is from a continuous data set because the number of possible values is infinite and not countable. , A discrete data set because there are a finite number of possible values nothing and more. 3. So if we look at our data set, ignoring 𝑘 for the time being, then the range can be found by our largest value, nine, subtract our smallest value, six, which is a range of three. Use the Range Formula to Find the Range from the given Data Set - 14, 69, 74, 94, 56. Free Range Calculator - find the Range of a data set step-by-step The calculation of the range is very straightforward. We can therefore calculate the range by subtracting the To find the 5 number summary of a data set, you need to find the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the largest data value (maximum). A data set does not necessarily have to have only one mode - if two or more A box plot is a type of plot that displays the five number summary of a dataset, which includes:. For instance, if you have the data set [3, 4, 7, 9, 11], the range would be calculated as 11 minus 3 which equals 8. data: [1,3,4,463,2,3,6,8,9,4,254, Find the range of exam scores over the course of five exams. The Subtract the minimum value from the maximum value to find the range. Quartiles are numbers used to divide a set of data into 4 equal parts or quarters. Range of Data. Outlier effect on the mean. Add up all data values to get the sum; Count the number of values in your data set; Divide the sum by the count; The mean is the same as the average value in a data set. In simple terms, it measures the spread of the middle 50% of values. Find Syntax. J! Need help with how to find the range of a data set? You're in the right place!Whether you're just starting out, or n In a given data set, the range of that data set would be the spread of values in that data set. If there are extreme values that are much larger or smaller than the rest of the data, the range will be skewed or stretched to include these outlier values. For example, if you had a data set in cells A1 to A10, you’d To learn how to compute three measures of the variability of a data set: the range, the variance, and the standard deviation. This represents the difference between the smallest and largest values in the Range. Let’s start by reminding ourselves that the range of a set of data is the largest value subtract the smallest value. when data is put in order from least to greatest, median is the middle entry, if two numbers take the average of the two numbers The The upper quartile (Q4) contains the quarter of the dataset with the highest values. The first quartile, denoted Q 1, is the value in the data set that holds 25% of If your connection is not listed in the Existing Connections dialog box, select Browse for More, and then look for the data source you want to connect to in the Select Data Source dialog box. It is sometimes called the “midspread,” because it tells us where the middle 50% of the data sit. Step 1: Plot the values of the data set along a number line. This is the first part of calculating a mathematical average or mean. load examgrades. This means that the presence of Interquartile Range Definition. For more videos visit ht These can refer to a data point, a named range, a single array, or a reference to an array. To find the range of a data set, you would use the method described in Option A: The range is found by subtracting the minimum data entry from the maximum data entry. Using the range formula, R = H - L R = 94 - 14 R = 80 Hence, the range is 80. Find the range of exam scores for each student over the To find the interquartile range of a data set with an odd number of points, first find put the data in numerical order. Next, identify the median number to split the data set in half. To visualize the interquartile range, imagine dividing your data into quarters. A Midrange of a given function can be calculated with the help of the following steps: The midrange is the mean of the lowest and highest numbers to appear in a range of values. Find N: the total number of data point is 10; Now, find the percentile for the 20 foot tree. What is a disadvantage of using the range as Find the range and coefficient of the range of the following data: 43. – **Q3 (Third Quartile)**: The median of the second half of the data. As mentioned earlier, the range of a set of numbers is the difference between the highest observation and the lowest observation in the given The average that we're used to is found by adding all the values in a data set, and then dividing the sum by the number of values in that data set; but this average might be misleading. IQR = Q3 – Q1. So the range is 9 − 3 = 6 . The range is found by adding the minimum and maximum data entries. To find the range, subtract the least value of the data set from the greatest value. The range is typically used to find the dispersion of values in a data set comprising several values. Note that in this particular data set, the addition of an outlier (a value well outside the expected range of values), the value 1,027,892, has no real effect on the data set. It is the difference between the lowest and highest value The interquartile range represents the difference between the first quartile (the 25th percentile) and the third quartile (the 75th percentile) of a dataset. R group_by with ranges (or aggregate) 1. Arrange the data set from lowest to highest - 14, 56, 69, 74, 94. The interquartile range of a dataset, often abbreviated IQR, is the difference between the first quartile (the 25th percentile) and the third quartile (the 75th percentile) of the dataset. However, you don’t need all How do you find the interquartile range of a set of data? What is the interquartile range? In this video we go over an example of finding the interquartile r The IQR range is one of many measurements used to measure how spread out the data points in a data set are. , 1 9 11 59 77) or line break. , A discrete data set because there are a finite number of possible values. The minimum value; The first quartile (the 25th percentile) The median value; The third quartile (the 75th percentile) The maximum value; To make a box plot, we draw a box from the first to the third quartile. Codomain vs Range. A measure of central tendency describes a set of data by identifying the central position in the data set as a Range . Steps: Select the cell Question: Find the range of the following data set. The range is found by adding the first and last data entries. Here Is An Solved Example To Find Range. 41, 82, 37, 43, 77, 44, 44, 50,49,49,80 Copy Data Answer (How to Enter) 2 Points Keypad Keyboard Shortcuts . \[ \overline{x} = \dfrac{\sum_{i=1}^{n}x_i}{n} \] Median . This article will demonstrate how to use Range. Learn how to calculate and interpret the range, a measure of variability using the same units as the data. Let’s check if their prices fall between $10 and $20. Example 1: Find the range of given observations: 32 – **Q1 (First Quartile)**: The median of the first half of the data. Value) / 2 Learn how to find the range of a set of data displayed in a stem-and-leaf plot. Find the lowest value: Identify the lowest value in the dataset. Statisticians refer to these quarters as quartiles and label The range can be defined as the difference between the maximum and minimum elements in the given data, the data can be a vector or a dataframe. Advertisement. Check it out! Keywords: problem; solve; range; order; order numbers; data set; data; decimals; decimal; find range; subtract; subtraction; largest number; Review of box plots, including how to create and interpret them. In the above data containing the scores of two students, range for Arun = 100-20 = 80; range for John = 80-45 = 35. It is the difference between the maximum value and the minimum value within the data set. Can you recommend neural network suitable for finding minimum and maximum of numbers in list with some noisy data? 0. Solved Examples. The k th percentile is a value in a data set that splits the data into two pieces: The lower piece contains k percent of the data, and the upper piece contains the rest of the data (which amounts to [100 – k] percent Find the midpoint of the upper and lower boundaries of a dataset The midrange is the average of the range of a set of numbers, or the sum of the highest and lowest This data set has already been ordered from lowest to highest. Commented Sep 19, 2013 at 22:37. Need to find a range, use range() - seems the most sensible option to me. ### Steps to Find Quartiles #### For Even Length Datasets 1. The inclusive rage refers to the difference between the highest value and one less than the lowest value in a set of scores measured on a quantitative scale of measurement. You will Interquartile Range Calculator Instructions. Watch the video to hear Steph, a sports coach, talk about why collecting and comparing data is The range of this data set can be found by following the formula: 68-5 = 63. To find it, subtract the lowest number in the distribution from the highest. y Open Live Script. The mode is the most frequent value. The interquartile range is the middle half of the data that is in between the upper and lower I have a set of data that is in a list. In this question, we firstly need to find the highest and lowest temperature. The range offers a simple measure of variation, highlighting the spread between the highest and lowest values in a set. Also To find the mean, add all the numbers together then divide by the number of numbers. In this tutorial, you'll see how to find the range of a set of data. 5. DataBodyRange End Sub This code also kinda works, but only if the table has a single row of data. Step 2: Separate the lower and upper half of the data set into two The range in R is the difference between the highest and lowest values of a dataset. 2 of 5. The IQR is often preferred over the range The mean of a data set is the sum of the data entries divided by the number of entries. Range = 118 To Find The Median For Discrete Data. Learn how to measure variability in data sets using range, interquartile range, standard deviation and variance. Stated as Range = Maximum Value–Minimum Value. This is the range of the data. Put them in order: 3, 5, 12. 1 "Two Data Sets" and the graphical representation of each, Just as we have The range gives us an indication as to how spread out the data is; it is the maximum difference between elements in the data set. Home; Calculators Statistic Calculator; Business Calculator; About Find the range of the following data set : \( 3, 7, 5, 9, 2\) Then range of data set is (181 – 160) = 21 cm. Solution: What is Median?When elements in the data set are organised sequentially, that is, in either an ascending or descending order of magnitude, the median can be referred to as the middle value of the data set. The standard deviation requires us to first find the mean, then subtract this mean from each The range is the simplest measurement of the difference between values in a data set. To find the quartiles you need to know the minimum, maximum, and median (middle) points of the data set. Select only cells A6 – C36. This is a range of data of that range of cells of customer first and last names and their To find Q1, you need to take the average of the 2nd and 3rd values of the data set. The highest or warmest temperature is 12 degrees Fahrenheit, as 12 is the highest integer in the list. It’s commonly used to report test scores and in reporting college admissions statistics. Find the quartiles of this data set: 6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36. The mean of a dataset, can be significantly affected by a few extreme values, whereas the median is less sensitive. Range is the difference between the highest value and the lowest value. Now, let’s have a look at a simple example where we calculate the standard deviation. ADDITIONAL MATERIALSSTANDARDSCC Finding the Mean, Median, Mode and Range. Example: find the Median of 12, 3 and 5. Excel Formula: Example 4: Find the midrange of the following data set: -12, -5, 0, 2, 10, 14. Find the range of all exam scores. Range can be helpful, but it's limited because it includes all extreme values — from the lowest value to the The Range is the difference between the lowest and highest values. In a sample or dataset, the quartiles divide the data into four groups with equal numbers of observations. You can use a stem-and-leaf plot to figure out the range of a set of data. \[ \text{Range} = x_n - x_1 \] Sum . To figure out the quartile on each side of the median, you A box plot is a type of plot that displays the five number summary of a dataset, which includes:. Load the examgrades data set. The range is the difference between the highest and lowest values in the data set. ListColumns(2). where Q 1 is the first quartile and Q 3 is the third quartile of the series. Mean Formula. How to Interpret the Range of a Data Set. Find the highest value: Identify the highest value in the dataset. Value + Max. The three distinct calculations associated with the Measure of Central Tendency are the Mean, Median, and Mode. However, the value of Review the concepts of mean, median, and mode in statistics on Khan Academy. The difference between the maximum and minimum Averages and range. We will create a list of values from a range that falls between two given numbers. Solution: As we can see the data has been sorted in ascending order. **Sort the Data**: Arrange the data in ascending order. 4, 29. Histograms. We can use the range and one of the maximum or minimum values of the data set to determine the other In this concept, you will learn how to use a stem-and-leaf plot to determine the range of a set of data. We will begin by looking at a definition of the range and then answer a variety of questions. 3. measures how spread out the data is. To find the range in R, you must first calculate the minimum value using the min() function, and the maximum value using the max() function. So we can define the range as the difference between maximum_value – minimum_value. When the data set is small, it is simple to identify the values of quartiles. The interquartile range finds the This video shows how to find the range for a given set of data. To give you a simple example, if you have a data set of student scores where the minimum score is 15 and the maximum score is 98, then the How to Find the Mean. Outliers are extreme values that differ from most values in the data set. The range has the advantage of being easy to compute. Because all values are The range of a data set is the difference between the largest number and the smallest number. Uses for the Range Rule . The Inclusive Range. g. The Codomain is actually part of the definition of the function. The range is found by subtracting the minimum data entry from the maximum data entry. I just want to know if I should use the value 0 (which is the lowest) in computing the range. Range = Maximum data entry - Minimum data entry. The Codomain and Range are both on the output side, but are subtly different. Semi How to Find the Mode and Range from a Line Plot. Histogram: a graphical display of data using bars of different heights. We have a new and improved read on this topic. If all you are interested in is where you stand compared to the rest of the herd, you need a statistic that reports relative standing, and that statistic is called a percentile. In this case axis=1 means you want to find the range of each row of your data so it would return a N element numpy array where N is the number of rows. So a tree that is 260 cm tall is added to The interquartile range (or IQR) of a data set is a measure of how the data values are spread around the center of the data set. See examples, graphs, formulas, and limitations of the range. Show transcribed image text. What is an advantage of using the range as a measure of variation? It is easy to compute. 2. Calculating the range of all rows in data set in R. Let’s take this data set and see its range details: -16,9,25,34,0,17,16,9,102,87. Range=Maximum value−Minimum value. Values must be numeric and separated by commas, spaces or new-line. Enter data separated by commas or spaces. When you consider a set of ordered pairs (x,y), the set of all of the x's is the domain and the set of the y's is the range. Formula 2: Use Midpoints. Method 1: Find range in a vector using min and max functions To find the range of a set of data using manual calculation, follow these steps: List the values: Write down all the values in the dataset. The sum is Frequency is used to find the mode of a data set. Remember to take the maximum value and subtract the minimum value. 1, 61. How to use the Interquartile Range Calculator: 1) Enter each of the numbers in your set separated by a comma (e. The below figure shows the occurrence of median and interquartile range for the data set. The range is a type of statistic. The 3 most common measures of central tendency are the mean, median and mode. Given the data 1, 4, 5, 5, and 10, find the range. ListObjects("Table1") Set rng = tbl. Look at the two data sets in Table 2. Learn how to calculate the range of a data set using ungrouped data, frequency table, and graphs. The lowest or coldest Example 2 – IF Function with a Range of Numeric Values in Excel. I am not sure how to make a function which can take the range of that data and return the min and max values in a tuple. When looking at data, you often want to understand the spread of the data: the gap between the greatest number and the least number. Sum of data frame's rows in range defined by columns. However, we can define the formulas to find the range of grouped and ungrouped data. C. And The When a data set has outliers or extreme values, we summarize a typical value using the median as opposed to the mean. Discover how to use online tools like Miniwebtool to simplify and speed up the process. Learn how to calculate the range of a data set by subtracting the lowest value from the highest value. This is particularly true if the values appear The IQR is the "interquartile range" of a data set. A larger range indicates greater dispersion within the dataset, suggesting a wide variability among the data points. Step 2: Find the minimum and maximum values from the set of data. – **Q2 (Second Quartile/Median)**: The median of the entire dataset. Explain how to find the range of a data set. Then, identify the highest and lowest numbers in the set. **Find Q2 Calculate the interquartile range for the data set. The range shows how spread out the values in a Welcome to Finding the Range with Mr. Here, the lowest value is 155 and the greatest is 720. Open the Excel file that contains your data set. Definition 6: The range of a data set S is a crude measure of variability and consists simply of the difference between the largest and smallest values in S. This standard deviation calculator uses your data set and shows the work The range details displayed are: Minimum value of the range which is the lowest limit; Maximum value; Range which is defined as the difference between the max and min within the range. It is best used with other measurements such as the median and total range Range. To find Q3, you need to take the average of the 6th and 7th values. Formulas and Vocabulary To find a range in Excel, you have two options: you can use the MAX and MIN functions to find the largest and smallest numbers in a data set and then you can subtract the two. Click here to view We have moved all content for Range. To To find the arithmetic mean of a data set, all you need to do is add up all the numbers in the data set and then divide the sum by the total number of values. Ordering a data set {x 1 ≤ x 2 ≤ x 3 ≤ ≤ x n} from lowest to highest value, the Domain and Range of a Function: Domain and Range are the input and output values of a Function. Learn how to calculate the range of ungrouped and grouped data using simple formulas and solved examples. presenting the data in an organized manner. See examples, tips, and limitations of this measure of variability. Range. IQR(x) The following examples show In this video, we will learn how to find the range of a data set. See examples, formulas and visualizations for each measure of variability. To find the range of a data set, start by listing the set of numbers in order from smallest to largest. This calculator calculates the interquartile range from a data set: To calculate the interquartile range from a set of numerical values, enter the observed values in the box. The range of a data set is the difference between the largest and smallest values. To find the range, How can data be displayed? count. , 1,9,11,59,77), space (e. How to set the age range, median, and mean The range is 100-75=25. Introduction to mean, median, and mode in statistics with examples and explanations. 5, 38. This version is generally useful when working with discrete values rather than continuous and can be applied for many forms of ordinal data as well as with data Explain how to find the range of a data set. 875. Now, we need to use the formula to find the range of observations. For example, use the data set of quiz scores: 10, 8, 10, 8, 8, and Enter a data set with values separated by spaces, commas or line breaks. Read on to learn how to find the median, how to find the median of a set of numbers using the median formulas, and what the median symbols used in To find the range in statistics, we need to arrange the given values or set of data or set of observations in ascending order. When the data The mean tells us that in our sample, participants spent an average of 50 USD on their restaurant bill. Given the data 1, 4, 5, 5, and 10, find the standard deviation The semi-interquartile range is half the interquartile range. In statistics, the mode of a set of numbers is the number that appears most often in the set. Learn how to calculate the mean, median, mode and range of a data set using formulas, examples and a calculator. The Limitations of Range. Find the difference The range can be either a zero or a positive number. Formula for Finding Range of a Data Set. ” This splits the data into an upper half and a lower half. Step 1: Order the values in the data set from least to greatest. Step 2: Subtract the smallest value from the largest value. You can copy and paste your data from a document or a spreadsheet. The VBA Find function uses The range of a data set is the difference between the largest number and the smallest number. Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. Say Now we need to find the Midrange of the given function and how spread the data set is. We can use the built-in IQR() function to calculate the interquartile range of a set of values in R:. When a data set has outliers, variability is often summarized by a statistic called the interquartile range, which is the difference between the first and third quartiles. It is a way to understand how the A graphical display of data using bars of different heights. Learn about range, variance, and standard deviation as measures of dispersion in statistics. The median for an even number of data values in a data set is the Whenever you make a measurement while collecting data, you can assume that there's a "true value" that falls within the range of the measurements you made. . To calculate range, list all of the numbers in your data set in order. Each measurement is an The range is the difference between the highest and lowest values in a set of numbers. Let's look at an example. A set of data is termed discrete if the observations belonging to the set are distinct, separate and unconnected observations. If there happens to be just one unusually high or low data value, then the range might give a distorted measure of dispersion. Finally The range is a very crude measurement of the spread of data because it is extremely sensitive to outliers, and as a result, there are certain limitations to the utility of a true Measures of central tendency help you find the middle, or the average, of a data set. @alvas It means that you want to find the range of a specific dimension independently. To find the range, one simply subtracts the lowest value from the greatest value, ignoring the others. Step 1: Open Your Excel Spreadsheet. A function is defined as the relation between a set of inputs and their outputs, where the input can have only one To manually select a data range, find the top leftmost value and the bottom rightmost value and place them in between a colon. That means, firstly write the observations from the lowest to the highest value. The range is the difference between the maximum score and the minimum score. com also offers AI explanations for various math topics and challenges. The range of a data set is the difference between the minimum and maximum. The range is very easy to compute, but it depends only on two of the data values in the entire set. You can use software to visualize your data with a box plot, or a box-and-whisker plot, so you can see the data distribution at a glance. Example: Consider the following dataset of exam scores for a The formula to calculate the range of a data set is given below: Range = Maximum value – Minimum value. First, it is a very quick estimate of the standard deviation. Acceptable Data Formats Outliers can significantly affect the range of a data set. For inclusive intersection you will want to add one more OR clause to catch when the from_date is before the start and the to_date is after the end: OR ( To_date <= '2013-08-19' AND From_date >= '2013-08-23' ) This is The range of a data set is the difference between the maximum and minimum data entries in the set. The middle is 5, so the median is 5. Click Create Assignment to assign this modality to your LMS. Ignore the Population/Sample selector unless you intend to examine the variance or the standard Find the median of the data set and label it “50th percentile. Conversely, a smaller Using visualizations. The range is 25. Calculate basic summary statistics for a sample or population data set including minimum, maximum, range, sum, count, mean, median, mode, standard deviation and variance. Understanding mean, median, mode and range is essential to be able to compare sets of data. Enter a set of numbers or a range of values and get the range of a data set step-by-step. Find the mean, median, mode, and range for the following list The range close range The difference between the highest and lowest values in a set of numbers. Symbolab. How to find the range between two numbers. Sub test() Dim tbl as ListObject Dim rng as Range Set tbl = ActiveSheet. Check it out! Keywords: problem; solve; range; order; order numbers; data set; data; decimals; decimal; find range; subtract; subtraction; largest number; The middle fifty is another name for the interquartile range, which is a measure of spread in statistics. Then, take the smallest number in the list and subtract it from the largest number to find the range. B. The By following these steps, you will be able to find the range of your data set in Excel, which is useful for understanding the spread of values in your data. 6, 18. Choose the correct answer below. So, arrange these numbers in ascending order to make the calculation simpler. Solution for Example 3. There’s just one step to solve this. It is used in statistical analysis to help draw conclusions about a set of numbers. Interpreting the range goes beyond mere calculation. This will make it easier to perform calculations. The sum of all of the data divided by the size. See examples, interpretations, and limitations of using range as a measure of variability. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. Find in VBA. Take note that there are 15 data values in this data set. Find in VBA is the same as using the Find command on the Excel Ribbon, but within our VBA Code. Its disadvantage is that it uses only two entries from the data set. Use and find the range of a data setIn this lesson you will learn how to describe the distribution of data by using the range. The range rule is helpful in many settings. Steps for Finding the Interquartile Range for a Data Set. If my table only has a single row of data the variable rng identifies the table and row without issues. The Codomain is the set of values that could possibly come out. For instance, if the numbers in a data set are 12, 45, 67, 81, 54, 20, 25, it can be challenging to find the highest and lowest number. In statistics, range represents the difference between the highest value of a data set and the lowest value of a data set. For example, suppose we have the following dataset that shows the height of 17 different plants (in The range of a data set in mathematics is found by subtracting the smallest data point (minimum data entry) from the largest data point (maximum data entry). Using Stem-and-Leaf Plots to Find the Range of a Set of Data. Solution. Let’s look at an example. We are asked to find the range, class interval, and the size of the class interval. We can use the following formula to calculate the range: Range = Maximum value – Minimum value; Range = 26 – 3; Range = 23; The range is 23. This type of chart highlights minimum and maximum values (the Steps for Finding the Range of a Data Set. Question You can use this interquartile range calculator to determine the interquartile range of a set of numbers, including the first quartile, third quartile, and median. Assume the data set is a sample. The median is If you are looking for a fairer way to summarize a set of data, this median calculator is for you. If, however, the mean is computed for this data set, the result is 128,505. Example of a result. median. The docs give more details. For instance, if your data set consists of the Learn the concept, formula and examples of finding the range of a data set, a measure of variability. If axis=0, it would find the range of each column independently. In a Add the numbers in your sample together. To find the range of a data set, find the largest element of a set when given the smallest element and the range, find the smallest element of a set when given the largest element and the There are other useful measures other than mean, median, and mode to help you analyze a data set. For small data sets with about ten or fewer measurements, the range of values is a good measure of precision. Make sure your data is organized in columns or rows. Example 1 – Range and interquartile range of a data set. The whole set of A6 through J36 is a data set – a range of data / data range. Example problem finding mean, median, mode and range: Find the mean, median, mode and range of the following data set: 9,4,17,4,7,8,14 Finding the mean: First add the numbers To find the range of a data set, list all the numbers to identify the highest and lowest number. To find the range, the data must be quantitative. Range of Grouped Data = U max – L min; Range of Grouped Data = 50 – 1; Range of Grouped Data = 49; Using this formula, we estimate that the range is 49. The range of any data set is calculated by subtracting the lowest value from the highest value. In addition, we simply we need to find the difference between the largest data value in our set and the smallest data value. The mean is also known as the average. Step-by-step guide: Quartile (Example 2) Find the lower quartile (LQ ). Each statistic allows us to analyse the data set, looking at: the spread of the data (the range), the location of the middle value Interquartile range = Upper Quartile – Lower Quartile = Q ­3 – Q ­1. The upper quartile is the top 25 percent of numbers in the data set, or the 75th percentile. – thelatemail. To determine the midrange value in a given data set, simply add the smallest and greatest values together and divide the result by two. Other statistics include the mean, the median and the mode. Step 1: Identify the highest value and lowest value in the data set. Range of Grouped Data = Midpoint To find the range, follow the steps: Arrange the data in order: 10, 20, 30, 40, 50, 60; Identify the smallest and largest values: Minimum = 10, Maximum = 60 By splitting the data at the 25th, 50th, and 75th percentiles, the quartiles divide the data into four equal parts. The range calculator is used to find the range of the given data by entering data or enter minimum and maximum value with step by step solution. 1, 13. The simplest measure of spread in data is the range. Count of numbers within the specified set. Range is a measure of dispersion that shows how the data are scattered around the mean. The middle fifty is useful for seeing where the bulk of the values in the data set lie, and how those values are clustered around the mean. Range of Ungrouped Data. The formula for determining the midrange is as follows: Midrange = (Min. ldxzc fckrzj pyjvfn ntetl ibnryipl qlos yua bhbub jiwi bxnyya