Find the mean of the following frequency distribution:

| Scores | 5 | 6 | 7 | 8 | 9 |
|------------|-----|-----|-----|-----|-----|
| Frequency | 2 | 1 | 3 | 2 | 2 |

Question

Find the mean of the following frequency distribution:

| Scores     | 5   | 6   | 7   | 8   | 9   |
|------------|-----|-----|-----|-----|-----|
| Frequency  | 2   | 1   | 3   | 2   | 2   |

Accepted Answer

1. **Understand the formula for mean**:  
   The mean is calculated as:  
   $$
   	ext{Mean} = \frac{	ext{Sum of (Score × Frequency)}}{	ext{Total Frequency}}
   $$

2. **Calculate the total frequency**:  
   Total frequency = $$2 + 1 + 3 + 2 + 2 = 10$$.

3. **Calculate the weighted sum**:  
   $$
   	ext{Weighted Sum} = (5 	imes 2) + (6 	imes 1) + (7 	imes 3) + (8 	imes 2) + (9 	imes 2)
   $$  
   $$
   = 10 + 6 + 21 + 16 + 18 = 71.
   $$

4. **Compute the mean**:  
   $$
   	ext{Mean} = \frac{71}{10} = 7.1.
   $$

Thus, the mean of the frequency distribution is **7.1**, and the correct answer is **(c)**.

Answer

Answer

Answer