17
QuizMultiple Choice

Data Analysis — Test

Question 17 • VA Statistics

The five-number summary for the data is 143, 162, 168, 180, and 202. Which of the following is not a true statement?

Answer
A
Approximately 75 percent of the arm spans are less than 180 cm.
B
Approximately 25 percent of the arm spans are less than 180 cm.
C
Approximately 50 percent of the arm spans are less than 168 cm.
D
Approximately 75 percent of the arm spans are greater than 162 cm.

Explanation

The five-number summary is minimum 143, first quartile 162, median 168, third quartile 180, and maximum 202. About 75% of the data are at or below the third quartile, 180 cm, so A is true. Only about 25% are below 180 cm is not true; C and D also match the median and first-quartile positions, respectively.

AI-written and checked against the verified answer.

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