Question

Consider a sample with data values of 9, 20, 17, 21, 16, and 13. Round your answers to 1 decimal place.

a. Compute the mean.
b. Compute the median.

Answer 1

16 ; 16.5

Explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5