imagine you want to look at the heights of FIU basketball players. If you want t
ID: 3470246 • Letter: I
Question
imagine you want to look at the heights of FIU basketball players. If you want to compare heights, the z-Score offers a standardized way of looking at them. Using the heights listed below (in inches), answer the questions that follow. The following are the heights in inches of the FIU Panthers Women's basketball team members. 70, 68, 72, 66, 68, 67, 66, 71, 74, 66
How many players are within one standard deviation of the mean? _______ Explain how you arrived at your solution.
What percent of the data is more than one standard deviation above the mean? ______% How did you determine this?
Explanation / Answer
1. Eight players are within one SD of the mean. To obtain these results, first calculate the mean and SD of the data. In this case, it is 68.8 and 2.821. Next, calculate the range of scores that lie within one SD of the mean. This can be calculated by: (Mean - SD) ~ (Mean + SD) = (68.8 - 2.821) ~ (68.8 + 2.821) = 65.979 ~ 71.621. From the scores above, we can see that 8 observations lie in between these values.
2. 20% of the data is more than one SD of the mean. We can see that 2 observations lie outside the range we calculated above. Since there are 10 observations in total, 2/10*100 = 20%.
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