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Use the table below with the variance and standard deviation to answer C and D. The data below represents the number of hours students in
Use the table below with the variance and standard deviation to answer C and D.
The data below represents the number of hours students in a Cl Stay Home Order in Connecticut during the pandemic. The table is set up to calculate the variance and standard deviation of the data. After finding those values, answer the related questions that follow. (10 points) Student Hours on Screens Differences from the Mean Square of the Difference Number Xi - X (X1 - X )2 1 8 8- 36.4 = - 28.6 817. 96 2 78 41.4 1, 713 . 96 3 30 - 6.4 43. 56 4 20 - 16.4 275. 56 55 18.4 338.56 6 15 - 21.6 464. 56 7 56 19.4 376. 36 8 40 3.4 11.56 9 42 5.4 29. 16 10 125 88.4 7 , 814. 56 11 30 - 6.4 43. 56 12 14 - 22.4 510. 76 13 35 - 1.6 2.56 14 42 5.4 29.16 15 8 -28.6 817. 96 16 21 - 15.4 243. 36 17 25 - 11.6 134. 56 18 20 - 16.4 275. 56 19 18 - 18.6 345- 96 20 50 13.4 179.56 732= 36.6 14470. 8 Answer the following questions using the information in the chart. a. Variance = 723.54 v = [ ( x , - X ) 14470.8 n 20 b. Standard Deviation = 26. 90 SV 723. 56c. What number of hours is 1 standard deviation below the mean and what number of hours is one standard deviation above the mean? d. In a normally distributed population, 68% of the data is between the values that are one standard deviation above and below the mean. Based on the numbers you found in part c, are approximately 68% of the 20 values in the table between the values that are one standard deviation above and below the meanStep by Step Solution
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