Chapter 11.6, Problem 4LC

Solution

Toidentify:The value of the 40^th and 80^th percentiles for the values 58, 53, 35, 60, 58, 42, 57, 60, 43, 44, 51, 49, 58.

The 40^th percentile is 49 and the 80^th percentile is 58.

Given information:

The given data set is 58, 53, 35, 60, 58, 42, 57, 60, 43, 44, 51, 49, 58.

Explanation:

Consider the given information.

Write the values in ascending order.

35, 42, 43, 44, 49, 51, 53, 57, 58, 58, 58, 60, 60.

Total number of observations are 13.

40^th percentile is: $13\times 0.40=5.2$

So, the 40^th percentile is the 5^th value of the data set which is 49.

80^th percentile is: $13\times 0.80=10.4$

So, the 80^th percentile is the 10^th value of the data set which is 58.