The data represents the number of players who turned out for 9 different youth soccer teams. {32, 28, 22, 28, 16, 12, 20, 22, 20} What is the five-number summary? Minimum = 12Q1 = 16Median = 19.5Q3 = 24Maximum = 32 Minimum = 12Q1 = 16Median = 22Q3 = 26.5Maximum = 32 Minimum = 12Q1 = 18Median = 22Q3 = 28Maximum = 32 Minimum = 12Q1 = 18.5Median = 20Q3 = 26Maximum = 32

Question

Carson Weaver

Mathematics

23 February, 20:33

The data represents the number of players who turned out for 9 different youth soccer teams. {32, 28, 22, 28, 16, 12, 20, 22, 20} What is the five-number summary? Minimum = 12Q1 = 16Median = 19.5Q3 = 24Maximum = 32 Minimum = 12Q1 = 16Median = 22Q3 = 26.5Maximum = 32 Minimum = 12Q1 = 18Median = 22Q3 = 28Maximum = 32 Minimum = 12Q1 = 18.5Median = 20Q3 = 26Maximum = 32

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Answers (1)

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Kathryn Cannon · Answer 1

See below in bold.

Step-by-step explanation:

32, 28, 22, 28, 16, 12, 20, 22, 20

Rearrange in ascending order:

12, 16, 20, 20, 22, 22, 28, 28, 32 So:

Minimum = 12.

Median = 22 (the median is the middle number).

Maximum = 32.

Q1 = 18 (This is the Lower Quartile: 18 is the mean of 16 and 20).

Q3 = 28 (The Upper Quartile)