Answer:
Explanation:
To find the interquartile range, we first need to find the values of the first and third quartiles.
The median of the data set is 4. To find the first quartile, we take the median of the lower half of the data set:
1 1 3 3 | 4 4 5 7 7
^
First quartile = 3
To find the third quartile, we take the median of the upper half of the data set:
1 1 3 3 | 4 4 5 7 7
^
Third quartile = 7
The interquartile range is the difference between the third quartile and the first quartile:
7 - 3 = 4
Therefore, the interquartile range of the data set is 4.