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On a timed maths test the first quartile for finishing time was 35 minutes. Which reading of that is correct?
AHalf of the students finished within 35 minutes
BSeventy-five percent finished in 35 minutes or less
COnly ten percent needed 35 minutes or more
DTwenty-five percent finished in 35 minutes or less
Answer & Solution
Correct answer: D. Twenty-five percent finished in 35 minutes or less
1. The first quartile is the 25th percentile of the finishing times.
2. A percentile has that share of the data at or below it.
3. So 25 percent of students finished in 35 minutes or less and 75 percent took 35 minutes or more.
4. Reading 75 percent as the share below the quartile reverses the two tails of the distribution.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
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