5
QuizMultiple Choice

Range and Interquartile Range — Quiz

Question 5 • Concepts in Probability and Statistics

Use the data set to determine which statements are correct. Choose five correct answers. 35 , 41 , 18 , 75 , 36 , 21 , 62 , 29 , 154 , 70

Answer
A
The lower quartile is 18 .
B
The lower quartile is 29 .
C
There is an outlier.
D
The upper quartile is 29 .
E
The median is 36 .
F
The interquartile range is 41 .
G
The upper quartile is 70 .
H
The median is 38 point 5 .

Explanation

Order the data: 18, 21, 29, 35, 36, 41, 62, 70, 75, 154. The median is the average of the two middle values, (36 + 41) ÷ 2 = 38.5; the lower and upper quartiles are 29 and 70, so the interquartile range is 70 − 29 = 41. Using the 1.5 × IQR rule, the upper outlier cutoff is 70 + 1.5(41) = 131.5, and 154 is above that cutoff. Thus, the correct statements are that the lower quartile is 29, there is an outlier, the IQR is 41, the upper quartile is 70, and the median is 38.5.

AI-written and checked against the verified answer.

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