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Hint : ➗ Mean = total ÷ number.

Correct Answers:

  • 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.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

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