Question

A wildlife researcher recorded the number of seconds it took for a group of birds to find food after it was placed in a feeding station. Here are the recorded times (in seconds):

Times (seconds):
42, 56, 61, 49, 73, 67, 58, 53, 64, 70



What is the interquartile range (IQR) of the times in seconds?

(1 point)
Responses

14
14

16
16

18
18

20

Answer 1

To calculate the interquartile range (IQR), we need to follow these steps:

1. **Sort the data**: The given times in seconds are:
- 42, 56, 61, 49, 73, 67, 58, 53, 64, 70

Sorted data:
- 42, 49, 53, 56, 58, 61, 64, 67, 70, 73

2. **Find the first quartile (Q1)**:
- Q1 is the median of the first half of the data.
- The first half (lower half) is:
- 42, 49, 53, 56, 58
- The median of these values (since there are 5 numbers, it’s the middle one):
- Q1 = 53

3. **Find the third quartile (Q3)**:
- Q3 is the median of the second half of the data.
- The second half (upper half) is:
- 61, 64, 67, 70, 73
- The median of these values:
- Q3 = 67

4. **Calculate the IQR**:
\[
\text{IQR} = Q3 - Q1 = 67 - 53 = 14
\]

Therefore, the interquartile range (IQR) of the times in seconds is **14**.

Final answer: **14**.