Question

What is the five-number summary for the data set?

43 32 48 23 21 42 39 70 59

(A)Minimum: 21, Q¹: 23, Q²: 42, Q³: 59, Maximum: 70

(B)Minimum: 21, Q¹: 27.5, Q²: 40.5, Q³: 53.5, Maximum: 70

(C)Minimum: 21, Q¹: 32, Q²: 42, Q³: 53.5, Maximum: 70

(D)Minimum: 21, Q¹: 27.5, Q²: 42, Q³: 53.5, Maximum: 70

Answer 1

The correct answer is: [D]:
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" Minimum: 21, Q₁: 27.5, Q₂: 42, Q₃: 53.5, Maximum: 70 " .
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Note: Rearrange the numbers in the data set from least to greatest:
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{21, 23, 32, 39, 42, 43, 48, 59, 70} .
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Since there are an odd number of values in the data set,
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"Q₁ = (23+32)/2 = 55/2 = 27.5 " ;

"Q₃ = (48 + 59) /2 = 107 = 53.5 " ;
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The minimum (lowest value) is "21" (as we can see); and the maximum (highest value) is "70" (as we can see).
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These values correspond to: "Answer choice: [D]:
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" Minimum: 21, Q₁: 27.5, Q₂: 42, Q₃: 53.5, Maximum: 70 " .
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