6 An experiment was carried out, which is that each of 7 healthy men was asked t

Question

6 An experiment was carried out, which is that each of 7 healthy men was asked to walk as straight as pessible to a target 60 meter away at normal speed. Based on the observations on cadence (number f strides per secoadi, the following stem-and-leaf plot was drawn: 4I 8 5136 6135 716 Leaf Unit= 10 Suppose that the leaf unit was calculated by sten leg * Leaf Unt-orignal data. The average of the data is 60 (A) What is the value of k? (3 points) (B) Consider the following transformation of the original data in the stem and leaf plot above: yi=10 , i=1,2, ,7. Then, calculate the standard deviation and I.Q.R of the transformed data.(8 points)

Explanation / Answer

a) n= 7

AVERAGE= 60

TOTAL= 7*60= 420

let unknown value be x

48+53+56+x+63+65+76= 420

361+x= 420

x= 420-361= 59

k= 9

b) By using above transformation

yi= 10+xi

58,63,66,69,73,75,86

lower quartile= 63

median= 69

upper quartile= 75

Inter quartile range= Q3-Q1= 75-63= 12

Standard deviation= 9.1287

Please note: I got these values by using excel

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