Answer to Question #289369 in Statistics and Probability for giahue

Question

A fitness instructor would like to design a bodybuilding program for the members in his fitness center. He has randomly surveyed a random sample of 30 members. Their weights (kg) are recorded as follows:

42,4 42,7 42,8 43,7 43,7 43,7 43,9 45,0 45,3 45,6 45,8 45,9 47,2 47,5 48,5 49,1 49,9 50,1 50,1 50,6 50,6 51,4 52,7 52,7 53,8 54,1 55,0 56,3 58,7 58,8

i. Find and interpret the measures of central tendency for the data given. (9 marks)

ii. Comment on the distribution of the data. Justify with two reasons based on Excel output. (6 marks)

iii. Stating the method used, calculate the intervals that contain at least 84% of the data. (8 marks)

iv. Determine the actual percentage of the given data values that falls in the interval calculated in part (iii). (4 marks)

V. Find and interpret the approximate value of the 66th percentile. (4 marks)

vi. Find and interpret the percentile rank of 47.2. (4 marks)