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ALMultiple Choice

Measures of Center and Spread

Question 1 • Algebra D E-Learning Fall 2023 and beyond

Find the quartiles for these data values:5, 7, 7, 8, 10, 11, 12, 15, 17.

Answer
A
Q1 = 7, Q2 = 11, Q3 = 15
B
Q1 = 7, Q2 = 10, Q3 = 13.5
C
Q1 = 6, Q2 = 9, Q3 = 12
D
Q1 = 7.5, Q2 = 10.5, Q3 = 13.5

Explanation

The values are already in order, and the middle value of the nine data points is 10, so Q2 = 10. Excluding that middle value leaves 5, 7, 7, 8 in the lower half and 11, 12, 15, 17 in the upper half. Their medians are Q1 = (7 + 7) / 2 = 7 and Q3 = (12 + 15) / 2 = 13.5, matching choice B.

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