Question

Five starting basketball players were randomly selected from two teams. The heights, in inches, of five players on Team I are 72, 73, 76, 76, and 78; the heights of those on Team II are 67, 72, 76,76, and 84 (please use the correct symbols in your answers, for example, x : # or μ4. ) 2. (1) Find the mean, median, mode and range of each team, respectively. (2) Are the four numbers you found in (1) statistics or parameters? (3) Calculate the standard deviation of each team, respectively. (please show detailed calculation work for this question, you can use graphing calculator or other software to check your final answer) (4) Based on the standard deviations you found in (2), which team players heights have a larger variation?

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Answer #1

1)

team 1 team 2
72 67
73 72
76 76
76 76
78 84
mean 75 75
median 76 76
mode 76 76
range 6 17

2)

these are statistic as they are summary for sample

3)

team 1 , sd = 2.449

team 2 sd = 6.245

To find standard deviation we use the following formula n- We will compute this formula in 4 steps Step 1: Find the mean. (X In this example: X 75. (use this calculator for step by step explanation on how to find mean) Step 2: Create the following table data 67 72 76 76 84 data-mean -8 -3 (data mean) 64 81 Step 3: Find the sum of numbers in the last column to get. Zi-X) 156 Step 4: Calculate ơ using the above formula 156 6.245 n-

4)

team 2 player have more variation as their sd is more

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