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Quantitative Aptitude
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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

What is the mean of the following distribution?

Marks (x)1936606985
No. of Students (f)6362591770

A
54
B
34
C
77
D
52
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
What is the mean of the following distribution?

Marks (x)1936606985
No. of Students (f)6362591770
Correct Answer
52
[Statistical Formula Setup]: The formula for calculating the arithmetic mean of a grouped frequency distribution is Mean = Σ(fx) / Σf.[Data Aggregation (Σf)]......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Quantitative Aptitude
Chapter -
Ref. Topic Statistics
Pg. No -
💡 Analysis & Explanation
[Statistical Formula Setup] ▼
The formula for calculating the arithmetic mean of a grouped frequency distribution is Mean = Σ(fx) / Σf.
[Data Aggregation (Σf)] ▼
Calculate total students: 63 + 62 + 59 + 17 + 70 = 271.
[Cumulative Product Generation (Σfx)] ▼
Compute the individual fx products:
(19 × 63 = 1197), (36 × 62 = 2232), (60 × 59 = 3540), (69 × 17 = 1173), (85 × 70 = 5950). Total sum = 14092.
[Final Computation] ▼
Divide the total sum by the number of students: 14092 / 271 = 52.
Conclusion ▼
The mean of the given distribution is exactly 52.
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