The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?
Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
- Minimum value: this is the smallest lengths, which is 9
- First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.
- Median: the median is the center of the data distribution which is 25.5.
- Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.
- Maximum: this is the largest length in minutes, which is, 51.
3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
Learn more about the five-number summary on:
https://brainly.com/question/24809873
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