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SCF STA 2023 - Calculator Instructions - Generating Descriptive Statistics

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STA 2023 Chapter 1 Calculator Instructions: Generating Descriptive StatisticsUngrouped DataUngrouped data sets are sets where each value is counted as occurring only once. Thus if the list {2, 3, 5, 7} is considered as ungrouped data, it merely consists of the four numbers 2, 3, 5, and 7. Grouped data, as we shall see later, lists the data values and how many times each of those values show up in the data set. The starting point for generating numerical descriptive statistics is getting the data into a list and then using the 1-Var Stats function to get the statistics.Example: Prices of CDs.The following data values are the prices of the same popular CD sold from ten different discount stores.12.95, 14.90, 11.57, 14.65, 17.95, 21.25, 12.95, 20.35, 10.95, 25.05The last five numbers (minimum, first quartile, median, third quartile, and maximum) are collectively known as the five-number summary of the data. From the five-number-summary we can compute the range, which is the difference between maxX and minX, and the interquartile range, which is the difference between Q3 and Q1.STA 2023 Chapter 1 Calculator Instructions: Generating Descriptive Statistics Ungrouped DataUngrouped data sets are sets where each value is counted as occurring only once. Thus if the list {2, 3,5, 7} is considered as ungrouped data, it merely consists of the four numbers 2, 3, 5, and 7. Groupeddata, as we shall see later, lists the data values and how many times each of those values show up in thedata set. The starting point for generating numerical descriptive statistics is getting the data into a listand then using the 1-Var Stats function to get the statistics. Example: Prices of CDs.The following data values are the prices of the same popular CD sold from ten different discountstores.12.95, 14.90, 11.57, 14.65, 17.95, 21.25, 12.95, 20.35, 10.95, 25.05Press the STAT key.Press the number 1 key. Enter the data values into L1.Press the STAT key.Press the ► key to highlight CALC.1Generating Descriptive Statistics (cont.)Press the number 1 key to select 1-Var Stats.Press the 2nd key and then the number 1 key to get L1.Press the ENTER key.You have to tell the calculator which list you want to use for the computations. If you omit the name ofthe list, 1-Var Stats uses L1 as its default.The output screen contains many results. You will need to use the down arrow key to see all of them. Let’s go through the output line by line. • X is the sample mean of the data. • Σx is the sum of the values in the data set. • Σx2 is the sum of the squares of the values. • Sx is the sample standard deviation. • σx is the population standard deviation. • n is the number of values in the data set. • minX is the smallest value in the data set. • Q1 is the first quartile. • Med is the median of the data set. • Q3 is the third quartile. • maxX is the largest value in the data set.The last five numbers (minimum, first quartile, median, third quartile, and maximum) are collectivelyknown as the five-number summary of the data. From the five-number-summary we can compute therange, which is the difference between maxX and minX, and the interquartile range, which is thedifference between Q3 and


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SCF STA 2023 - Calculator Instructions - Generating Descriptive Statistics

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