Question

This data represents the weight, in pounds, of 10 dogs at a dog show.
 
34, 39, 40, 43, 44, 52, 55, 59, 63, 80

What is the interquartile range? Enter the answer in the box.

Answer 1

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

1. **Organize the data** (though it is already sorted):
- 34, 39, 40, 43, 44, 52, 55, 59, 63, 80

2. **Find Q1**:
- Q1 is the median of the first half of the data. The first half of the data is:
- 34, 39, 40, 43, 44
- There are 5 numbers, so the median is the middle number, which is 40.

3. **Find Q3**:
- Q3 is the median of the second half of the data. The second half is:
- 52, 55, 59, 63, 80
- Again, there are 5 numbers, and the median is the middle number, which is 59.

4. **Calculate the IQR**:
\[
IQR = Q3 - Q1 = 59 - 40 = 19
\]

Thus, the interquartile range (IQR) is **19**.