High School

Calculate the five-number summary and the IQR from the following values: (17, 20, 21, 25, 25, 29, 40).

a) Minimum: 17, Q1: 20, Median: 25, Q3: 29, Maximum: 40, IQR: 9
b) Minimum: 17, Q1: 21, Median: 25, Q3: 29, Maximum: 40, IQR: 8
c) Minimum: 17, Q1: 20, Median: 25, Q3: 25, Maximum: 40, IQR: 5
d) Minimum: 17, Q1: 21, Median: 25, Q3: 25, Maximum: 40, IQR: 4

Answer :

Final answer:

The five-number summary for the given values is as follows: Minimum: 17, First quartile: 20, Median: 25, Third quartile: 29, Maximum: 40. The interquartile range is 9.

Explanation:

The five-number summary for the given values (17, 20, 21, 25, 25, 29, 40) is as follows:

  1. Minimum: 17
  2. First quartile (Q1): 20
  3. Median: 25
  4. Third quartile (Q3): 29
  5. Maximum: 40

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Therefore, the IQR is 29 - 20 = 9.

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