Measures of Variation Practice

Question

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5 of 55 of 5 Items

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.

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

Answer 1

8.6

Answer 2

that is not it

Answer 3

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).

1. To find Q1:
- First, find the median of the lower half of the data. In this case, the lower half of the data is 35.6, 38.1, and 41.0.
- The median of the lower half is 38.1.

2. To find Q3:
- Find the median of the upper half of the data. In this case, the upper half of the data is 43.0 and 44.2, 44.4.
- The median of the upper half is 44.2.

Now, calculate the IQR:
IQR = Q3 - Q1
IQR = 44.2 - 38.1
IQR = 6.1

Therefore, the interquartile range of the dataset is 6.1.