IPA IP 2022 Question 59
A question IPA Japan published in 令和4年度 ITパスポート試験 公開問題 問59, translated into English. ITPEC is based on the same exams.
Same question on ITPEC: Oct 2025 Q3 +1 more
Which of the following is the combination of the mean and median of the data?
[Data]
10, 20, 20, 20, 40, 50, 100, 440, 2000
Explanation
Mean 300, median 40 — the mean divides the total by the count; the median is the middle value of the sorted data.
- •Total: 10 + 20 + 20 + 20 + 40 + 50 + 100 + 440 + 2000 = 2700
- •Mean: 2700 ÷ 9 = 300
- •Median: the nine values are already sorted, so the median is the 5th: 40
The two large values, 440 and 2000, pull the mean far above the median; the median depends only on the middle position.
Answer (d)
Why not others:
- •(a) 20, 40 — 20 is the mode, the most frequent value, not the mean
- •(b) 40, 20 — takes the median as the mean and the mode as the median
- •(c) 300, 20 — the mean is right, but 20 is the mode; the middle (5th) value is 40
Key rule: With skewed data the mean, median and mode split apart: a few very large values drag the mean up while the median stays at the middle position.
Basic Theory · AI-written, may contain errors
This question comes from the past questions IPA Japan publishes, translated into English by ITPEC Practice. ITPEC Practice is an independent study tool and is not affiliated with IPA or ITPEC. See the original paper (PDF) or Report an issue.