Question

Given the following data, find the weight that represents the 54th percentile. Weights of Newborn Babies 7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Answer 1

7.35

Explanation:

Given the data:

7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Rearranged data :

5.5, 5.5, 6.1, 6.4, 6.5, 6.7, 6.9, 7.1, 7.6, 7.7, 7.7, 8.0, 8.1, 9.3, 9.4

The 54th percentile :

(54/100) * (n + 1) th term

n = sample size = 15

0.54 * (15 + 1)

0.54 * 16

8.64th term

(8th term + 9th term) / 2

(7.1 + 7.6) / 2

14.7 / 2

= 7.35