Measures of Variation Practice
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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
.
8.6
that is not it
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.