Find the mean of the following frequency distribution:
| Scores | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|
| Frequency | 2 | 1 | 3 | 2 | 2 |
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7.1
Each score is counted as many times as its frequency, so the mean = (sum of score × frequency) ÷ (total frequency).
Sum of score × frequency \(=5\times2+6\times1+7\times3+8\times2+9\times2=10+6+21+16+18=71\)
Total frequency \(=2+1+3+2+2=10\)
Mean \(\displaystyle =\frac{71}{10}=7.1\)