Question : Calculate the mean from the following table.
| Scores | Frequencies |
| 0-10 | 2 |
| 10-20 | 4 |
| 20-30 | 12 |
| 30-40 | 21 |
| 40-50 | 6 |
| 50-60 | 3 |
| 60-70 | 2 |
Option 1: 34.2
Option 2: 33.4
Option 3: 32.6
Option 4: 35.8
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Answer (1)
24th Jan, 2024
Correct Answer: 33.4
Solution :
| Scores | Frequencies | Mid Point | Mid Point × Frequencies |
| 0-10 | 2 | 5 | 10 |
| 10-20 | 4 | 15 | 60 |
| 20-30 | 12 | 25 | 300 |
| 30-40 | 21 | 35 | 735 |
| 40-50 | 6 | 45 | 270 |
| 50-60 | 3 | 55 | 165 |
| 60-70 | 2 | 65 | 130 |
Mean = $\frac{\sum \text{ (Mid Point × Frequencies)}}{\sum \text{Frequencies}}$
= $\frac{10+60+300+735+270+165+130}{2+4+12+21+6+3+2}$
= $\frac{1670}{50}$
= 33.4
Hence, the correct answer is 33.4.
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