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8. Here is your dataset for body Tat percentages for 20 college women. Please us

ID: 3046523 • Letter: 8

Question

8. Here is your dataset for body Tat percentages for 20 college women. Please use this dataset to answer the next 10 questions Ranked Data: 18 19 21 21 22 22 24 24 24 24 24 25 25 25 25 25 26 31 32 32 What is the mean? 24.45 What is the median? 24 9. 10. What is the mode? 24,25 shows up the same amount of times, therefore, there is no true mode. What is the range? 14 11. What is the variance? the fact or quality of being different, divergent, or inconsistent 12. What is the standard deviation? is a measure that is used to quantify the amount of variation or dispersion of a set of data values. 13. What is the sum total of all of the values in your sample? Using this dataset if our score or X value is 32, or X 32, what would be the z score value based upon our calculations for this dataset?I 14. Use the mean of body fat percentage of a group of female college students which you previous calculated in the dataset and based on the standard deviation which you also calculated previously from your dataset (N 20), what is the estimated standard error of the mean? SEm- SD/ square root of N

Explanation / Answer

11) variance = ((18 - 24.45)^2 + (19 - 24.45)^2 + (21 - 24.45)^2 + (21 - 24.45)^2 + (22 - 24.45)^2 + (22 - 24.45)^2 + (24 - 24.45)^2 + (24 - 24.45)^2 + (24 - 24.45)^2 + (24 - 24.45)^2 + (24 - 24.45)^2 + (25 - 24.45)^2 + (25 - 24.45)^2 + (25 - 24.45)^2 + (25 - 24.45)^2 + (25 - 24.45)^2 + (26 - 24.45)^2 + (26 - 24.45)^2 + (26 - 24.45)^2 + (26 - 24.45)^2)/20 = 13.447

12) standard deviation = sqrt(13.447) = 3.667

13) sum of samples = 489

z- score = (x - mean)/(sd/sqrt(n))

              = (32 - 24.45)/(3.667/sqrt(20))

               = 9.21

14) Standard error = sd/sqrt(n)

                               = 3.667/sqrt(20) = 0.82

                                        

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