Question

The consistency of a drink machine is being tested. The machine dispenses the following ounces of water in five different trials: 12, 11, 10, 11, 14. What is the IQR of the dispensing trials?

(1 point)
Responses

2.5
2.5

11.5
11.5

12.5
12.5

14

Answer 1

To find the Interquartile Range (IQR) of the dispensing trials, we first need to sort the data and then calculate the first quartile (Q1) and third quartile (Q3).

The trials are:
12, 11, 10, 11, 14.

1. Sort the data:
10, 11, 11, 12, 14.

2. Find Q1 (the first quartile):
Q1 is the median of the lower half of the data. The lower half is:
10, 11
The median of this set is (10 + 11) / 2 = 10.5.

3. Find Q3 (the third quartile):
Q3 is the median of the upper half of the data. The upper half is:
12, 14
The median of this set is (12 + 14) / 2 = 13.

4. Calculate the IQR:
IQR = Q3 - Q1 = 13 - 10.5 = 2.5.

So, the IQR of the dispensing trials is **2.5**.