Question

The average temperatures in December in Washington, D.C., from 1993 to 1998 are given as a dataset.

38.1, 44.2, 35.6, 43.0, 41.0, 44.4

Find the interquartile range of the dataset. Express your answer as a decimal rounded to the nearest tenth.

(1 point)
The interquartile range of the dataset is
.

Answer 1

First sort the data: 35.6, 38.1, 41.0, 43.0, 44.2, 44.4.
With n = 6, lower half = 35.6, 38.1, 41.0 so Q1 = 38.1; upper half = 43.0, 44.2, 44.4 so Q3 = 44.2.
IQR = Q3 − Q1 = 44.2 − 38.1 = 6.1.