ITPEC IP April 2023 Question 4
ITPEC IP April 2023 — Question 4 of 100
The mean is 300 and the median is 40. The nine values are already sorted. Their sum is 10+20+20+20+40+50+100+440+2000 = 2700, so the mean is 2700 ÷ 9 = 300. With nine observations, the median is the fifth value, which is 40. The very large value 2000 pulls the mean far above the median.
Answer (d)
Why not others:
- (a) reverses neither calculation correctly
- (b) uses 40 as the mean and 20 as the median
- (c) has the correct mean but selects 20 instead of the fifth value for the median
Key rule: Mean equals total divided by count; for an odd sorted dataset, the median is the single middle observation.
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