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Data InsightsTwo-Part Analysis

Free GMAT Two-Part Analysis Practice Question

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Columns: Runner, Finishing time in minutes, Club member. Seven rows of runner data.
RunnerFinishing time (min)Club member
Alvi22Yes
Bose25Yes
Cruz24No
Dell23Yes
Eze21Yes
Fox30No
Gad28No

The table lists seven runners in a charity 5-kilometer race, each with the runner's finishing time in minutes and whether the runner is a member of the host running club. The median finishing time is the middle value when the seven times are arranged in order, and the average finishing time is the sum of the seven times divided by 7. Using the dropdown menus, select the number of club members who finished strictly faster than the median finishing time, and select the number of runners (whether or not they are club members) who finished faster than the average finishing time. Make only two selections, one in each column.

Club members faster than the median: . Runners faster than the average: .

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Answer & Explanation

Correct answer

1: 3 · 2: 4

Order the seven times: 21, 22, 23, 24, 25, 28, 30. The median is the 4th value, 24, which is Cruz's time. For the first column, find club members who finished strictly faster than 24 minutes: Eze (21, Yes), Alvi (22, Yes), and Dell (23, Yes), which is 3. Cruz at 24 ties the median rather than beating it, and Cruz is not a member; Bose is a member but at 25 is slower than the median. So the first answer is 3.

For the second column, compute the average: 22 + 25 + 24 + 23 + 21 + 30 + 28 equals 173, and 173 divided by 7 is about 24.71. The runners faster than 24.71 are Eze (21), Alvi (22), Dell (23), and Cruz (24), which is 4. Membership is irrelevant to this count, so the second answer is 4.

Distractor 2 comes from misreading the median as 23 (an off-by-one slip when ordering seven values) and counting only Eze and Alvi as members below it. Distractor 5 comes from rounding the average up to 25 and counting everyone at or below 25, which adds Bose to the four runners under the average. Distractor 6 comes from treating average as the largest time and counting every runner except Fox (30). Distractor 7 comes from counting all seven runners, which ignores the median filter in the first column or treats every time as below the average in the second column.