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):

Question

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.