Practice Question
Weekly Running ScheduleMonday 7 miles Tuesday 8 miles Wednesday 4 miles Thursday 5 miles Friday 5 miles Saturday 3 miles Sunday 1 mileStimulus: 1 of 1Marquis has a schedule for planning his weekly runs. Which of the following measures will change if he runs 6 miles on Monday and 2 miles on Saturday instead?
Answer Choices:
Correct Answer:
Mean
Rationale:
📊Skipping to 6 miles (Mon) and 2 miles (Sat) changes the weekly total from 33 miles (7+8+4+5+5+3+1) to 31 miles (6+8+4+5+5+2+1), a net change of −2 miles.
📊The mean (average) depends only on the total sum and the number of values; with 7 days fixed, the mean shifts exactly by (Δ total)/7 = −2/7 ≈ −0.29.
📊Numerically, the mean moves from 33/7 ≈ 4.71 mi to 31/7 ≈ 4.43 mi, confirming that the mean decreases.
📊This demonstrates the key property that the mean is sensitive to any change in data values, even when only a couple of entries are altered.
📊Because the count (n = 7) stays constant while the total changes, the mean is the measure that necessarily changes.
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This question is from ATI TEAS MATH - 16.09.2025 which contains 37 questions.
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Question Details
- Category: ATI TEAS
- Subcategory: Mathematics Exam(s)
- Domain: ATI TEAS 7 Math~2025
- Answer Choices: 4