Question

Fill in the Blank 1 point
The interquartile range of this data set is
1,5, 12, 14, 29, 45, 48, 61, 72, 84, 96
Previous
choose your answer... ^ choose your answer...
45
27
60
33 Fill in the Blank 1 point
The interquartile range of this data set is
1,5, 12, 14, 29, 45, 48, 61, 72, 84, 96
Previous
choose your answer... ^ choose your answer...
45
27
60
33 Fill in the Blank 1 point
The interquartile range of this data set is
1,5, 12, 14, 29, 45, 48, 61, 72, 84, 96
Previous
choose your answer... ^ choose your answer...
45
27
60
33

Answer 1

To find the interquartile range (IQR) of the data set, we first need to determine the first quartile (Q1) and the third quartile (Q3).

Given the data set:
1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96

1. **Order the data**: (already ordered)
- 1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96

2. **Find the median (Q2)**:
- The median is the middle value. Since there are 11 data points, the median is the 6th value:
- Q2 = 45

3. **Find Q1 (the median of the first half)**:
- The first half of the dataset (lower half) is: 1, 5, 12, 14, 29
- The median of this subset is the 3rd value:
- Q1 = 12

4. **Find Q3 (the median of the second half)**:
- The second half of the dataset (upper half) is: 48, 61, 72, 84, 96
- The median of this subset is the 3rd value:
- Q3 = 72

5. **Calculate the IQR**:
- IQR = Q3 - Q1 = 72 - 12 = 60

Based on this calculation, the interquartile range of the data set is 60.

So, the answer is **60**.