Question
Download Solution PDFWhat is the mean of the following distribution?
| Marks | 14 | 26 | 44 | 61 | 84 |
|---|---|---|---|---|---|
| No. of Students | 91 | 78 | 95 | 36 | 98 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Marks = [14, 26, 44, 61, 84]
No. of Students = [91, 78, 95, 36, 98]
Formula used:
Mean = (Σ(Marks × Frequency)) / (Σ(Frequency))
Calculations:
Calculate Σ(Marks × Frequency)
14 × 91 = 1274
26 × 78 = 2028
44 × 95 = 4180
61 × 36 = 2196
84 × 98 = 8232
⇒ Σ(Marks × Frequency) = 1274 + 2028 + 4180 + 2196 + 8232 = 17910
Calculate Σ(Frequency)
91 + 78 + 95 + 36 + 98 = 398
Mean = Σ(Marks × Frequency) / Σ(Frequency)
⇒ Mean = 17910 / 398
⇒ Mean = 45
∴ The correct answer is option (1).
Last updated on Jul 21, 2025
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