13
QuizMultiple Choice

Statistical Modeling — Test

Question 13 • Statistical Reasoning

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed. 0 , 1 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 5 , 5 , 6 Which of the following is the five-number summary for the data?

Answer
A
0 , 2 point 5 , 3 , 4 , 6
B
0 , 2 point 5 , 3 , 3 , 6
C
0 , 3 , 3 , 3 , 6
D
0 , 3 , 3 , 4 , 6

Explanation

The data are already in order. With 13 values, the median is the 7th value, which is 3. The lower half is 0, 1, 2, 3, 3, 3, so its median is (2 + 3) ÷ 2 = 2.5; the upper half is 3, 3, 3, 5, 5, 6, so its median is (3 + 5) ÷ 2 = 4. Together with the minimum 0 and maximum 6, the five-number summary is 0, 2.5, 3, 4, 6: choice A.

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