Question

The numbers of home runs that Barry Bonds hit in the first 18 years of his major league baseball career are listed below. Find the mean and median number of home runs. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data? Explain your reasoning.

16 25 24 19 33 25 34 46 37
33 42 40 37 34 49 73 46 45

Answer 1

Mean = 35.56

Median = 35.5

Explanation:

Given the data:

16 25 24 19 33 25 34 46 37

33 42 40 37 34 49 73 46 45

Reordered data :

16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73

The mean = ΣX / n

n = sample size ; ΣX = sum of values

The mean = 658 / 18

The mean = 36.56

The Median = 1/2(n+1)th term

1/2(18+1)th term = 1/2(19)th term = 9.5 term

Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5