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NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

What is the mean of the following distribution?

Marks1426446184
No. of Students9178953698

A
45
B
46
C
54
D
69
Result Summary
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NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
What is the mean of the following distribution?

Marks1426446184
No. of Students9178953698
Correct Answer
46
Core Statistical Formula: To find the arithmetic mean of a grouped frequency distribution, we must calculate the aggregate sum of all values divided by the abso......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Statistics
Chapter -
Ref. Topic Mean
Pg. No -
💡 Analysis & Explanation
Core Statistical Formula ▼
To find the arithmetic mean of a grouped frequency distribution, we must calculate the aggregate sum of all values divided by the absolute total number of observations. The operational formula is Mean = Σ(f × x) / Σf, where 'x' represents the specific marks and 'f' represents the corresponding student frequency.
Calculating Aggregate Products (Σfx) ▼
We systematically multiply each mark by its frequency: (14 × 91) = 1274. (26 × 78) = 2028. (44 × 95) = 4180. (61 × 36) = 2196. (84 × 98) = 8232. Adding these all together gives the massive total sum: 1274 + 2028 + 4180 + 2196 + 8232 = 17,910.
Calculating Total Frequency (Σf) ▼
Summing the total number of students gives: 91 + 78 + 95 + 36 + 98 = 398.
Final Mean Division ▼
Dividing the total product sum by the total frequency: 17910 / 398. Performing the long division yields an exact flat value of 45.
Conclusion ▼
The mathematically proven mean of the distribution is 45.
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