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Effectus [21]
11 months ago
10

Please help! (Also show work) Tutorials :D

Mathematics
1 answer:
oksano4ka [1.4K]11 months ago
6 0

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

<h3>How to Find the Five-number Summary of a Data?</h3>

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:

brainly.com/question/24809873

#SPJ1

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