The favorite numbers of seven people are listed below.
9, 28, 16, 2, 33, 6, 10
What is the interquartile range of the numbers?
A.
31
B.
15
C.
1
D.
22
To find the interquartile range, we first need to find the upper quartile and lower quartile.
The numbers are already listed in order, so we can find the median by finding the number in the middle of the list. Since there are 7 numbers, the middle number is the fourth number, which is 9.
To find the lower quartile, we need to find the median of the lower half of the numbers. The lower half of the numbers includes 2, 6, and 9. The median of these numbers is 6.
To find the upper quartile, we need to find the median of the upper half of the numbers. The upper half of the numbers includes 10, 16, 28, and 33. The median of these numbers is 22.
The interquartile range is then the difference between the upper quartile and the lower quartile: 22 - 6 = 16.
Therefore, the interquartile range of the numbers is 16.
Therefore, the answer is $\boxed{\text{(B)}\ 15}$.