Question

In the data set below, what is the interquartile range?

4 5 5 7 9 9

Answer 1

[AI-generated answer — Bot GPT 3.5]

The interquartile range is the range of the middle 50% of the data.

To calculate the interquartile range, we first need to find the first and third quartiles.
1. Arrange the data in ascending order: 4, 5, 5, 7, 9, 9
2. Find the median: (5 + 7) / 2 = 6
3. The first quartile (Q1) is the median of the lower half of the data: (4 + 5) / 2 = 4.5
4. The third quartile (Q3) is the median of the upper half of the data: (9 + 9) / 2 = 9

Now we can calculate the interquartile range (IQR):
IQR = Q3 - Q1
IQR = 9 - 4.5
IQR = 4.5

So, the interquartile range of the data set is 4.5.