What is the five-number summary for the data set? 28 34 26 33 48 42 39 28 36 Minimum: 26, Q¹: 28, Q²: 34, Q³: 40, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 34, Q³: 40.5, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 33.5, Q³: 40.5, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 34, Q³: 42, Maximum: 48

Question

Alvin Weaver

Mathematics

10 April, 14:39

What is the five-number summary for the data set? 28 34 26 33 48 42 39 28 36 Minimum: 26, Q¹: 28, Q²: 34, Q³: 40, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 34, Q³: 40.5, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 33.5, Q³: 40.5, Maximum: 48 Minimum: 26, Q¹: 28, Q²: 34, Q³: 42, Maximum: 48

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Answers (1)

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Fleming · Answer 1

To find these values, you must first order the data from least to greatest.

26, 28, 28, 33, 34, 36, 39, 42, 48

The maximum is the greatest: 48.

The minimum is the least: 26.

Q2 is the middle value when in order: 34.

Q1 is the middle value of the lower half: 26, 28, 28, 33; (28 + 28) / 2 = 28.

Q3 is the middle value of the upper half: 36, 39, 42, 48; (39 + 42) / 2 = 40.5.

The correct answer is the first choice.