Question
Download Solution PDFWhat is the mean of the following distribution?
| Marks | 19 | 36 | 60 | 69 | 85 |
| No. of students | 63 | 62 | 59 | 17 | 70 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Marks = [19, 36, 60, 69, 85]
No. of Students = [63, 62, 59, 17, 70]
Formula Used:
Mean = (Σ(fi × xi)) / Σ(fi)
Where:
fi = Frequency (No. of Students)
xi = Marks
Calculation:
fi × xi:
19 × 63 = 1197
36 × 62 = 2232
60 × 59 = 3540
69 × 17 = 1173
85 × 70 = 5950
Σ(fi × xi) = 1197 + 2232 + 3540 + 1173 + 5950 = 14092
Σ(fi) = 63 + 62 + 59 + 17 + 70 = 271
Mean:
⇒ Mean = Σ(fi × xi) / Σ(fi)
⇒ Mean = 14092 / 271
⇒ Mean = 52
The mean of the distribution is 52.
Last updated on Jul 22, 2025
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