ITPEC IP October 2025 Question 3
ITPEC IP October 2025 — Question 3 of 100
Mean 300, median 40 — use all values for the mean and the central ordered value for the median.
The nine values sum to 10 + 20 + 20 + 20 + 40 + 50 + 100 + 440 + 2,000 = 2,700, so the mean is 2,700 ÷ 9 = 300. They are already ordered, and with nine observations the median is the fifth value, 40.
Answer (d)
Why not others:
- (a) and (b) incorrectly use 20 or 40 as the mean despite the large values 440 and 2,000
- (c) has the correct mean but takes 20 rather than the fifth value as the median
Key rule: The mean is sensitive to extreme values, while the median depends only on the central position after sorting.
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