निम्नलिखित आँकड़ों पर विचार कीजिए :
| अंग्रेजी में माध्य प्राप्तांक | हिन्दी में माध्य प्राप्तांक | |
|---|---|---|
| लड़कियाँ | 9 | 8 |
| लड़के | 8 | 7 |
| कुल माध्य प्राप्तांक | 8·8 | x |
उपर्युक्त सारणी में x का मान क्या है?
Read this question in English
Consider the following data:
What is the value of x in the above table?
(a) 7.8 · (b) 7.6 · (c) 7.4 · (d) 7.2
उत्तर और व्याख्या · explanation in English
Answer: (a) 7·8
The overall English average of 8·8 lies four times nearer the girls' 9 than the boys' 8, so girls outnumber boys 4 : 1. Using the same weights on Hindi gives (4 × 8 + 1 × 7)/5 = 7·8.
- Let there be g girls and b boys. English: 9g + 8b = 8·8(g + b).
- So 0·2g = 0·8b, giving g : b = 4 : 1.
- Hindi: x = (4 × 8 + 1 × 7)/5 = 39/5 = 7·8.
- Check: English with the same weights = (4 × 9 + 8)/5 = 44/5 = 8·8.
Remember · Use the known overall average to find the group ratio, then apply that ratio to the other subject.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 1 Oct 2026 (how we verify). ·