यदि एक प्रतिदर्श आँकड़े के लिए
माध्य < माध्यिका < बहुलक
है, तो वितरण
Read this question in English
If for a sample data
Mean < Median < Mode
then the distribution is
(a) symmetric · (b) skewed to the right · (c) neither symmetric nor skewed · (d) skewed to the left
उत्तर और व्याख्या · explanation in English
Answer: (d) बायीं ओर विषम है
In a skewed distribution the mean is pulled furthest towards the long tail, the mode sits at the peak, and the median lies between them. Mean < Median < Mode means the tail stretches to the left: the distribution is negatively skewed.
- In a symmetric distribution mean = median = mode, so (a) and (c) are out.
- A few very small values pull the mean down more than the median, while the mode (the peak) is least affected.
- So mean < median < mode signals a long left tail: skewed to the left (negative skew).
- Skewed to the right would give the reverse order: mode < median < mean.
Remember · The mean chases the tail: mean below median means left-skewed; mean above median means right-skewed.
Question and answer: UPSC's official GS Paper II (2017, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·