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 Interquartile Range (IQR) of the dispensing trials?(1 point)
Responses

2.5
2.5

4
4

10.5
10.5

13

Answer 1

To find the Interquartile Range (IQR), we first need to determine the quartiles of the dataset.

Here are the dispensing trials:
12, 11, 10, 11, 14.

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

2. **Find the median (Q2)**:
Since there are 5 data points, the median is the third number:
- Median (Q2) = 11

3. **Find the first quartile (Q1)**:
The first quartile (Q1) is the median of the first half of the data. The first half is:
10, 11
- Q1 = (10 + 11) / 2 = 10.5

4. **Find the third quartile (Q3)**:
The third quartile (Q3) is the median of the second half of the data. The second half is:
11, 12, 14
- Q3 = 12

5. **Calculate the IQR**:
IQR = Q3 - Q1 = 12 - 10.5 = 1.5

It seems I made an oversight when interpreting the provided options as the IQR calculated (1.5) is not present. However, the IQR based on the values calculated is clearly 1.5.

Since none of the listed options match, please verify the values or the answer options provided. If you need me to clarify the method further, or check another set of values, please let me know.