Discussion

Answer: A

The mean of a frequency distribution is calculated using the formula: Mean = \(\frac{\sum f_i x_i}{\sum f_i}\).

First, we calculate the product of each value and its frequency (fx):

• 4 × 5 = 20
• 6 × 10 = 60
• 9 × 10 = 90
• 10 × 7 = 70
• 15 × 8 = 120

Next, we sum these products: \(\sum f_i x_i = 20 + 60 + 90 + 70 + 120 = 360\).

Then, we sum the frequencies: \(\sum f_i = 5 + 10 + 10 + 7 + 8 = 40\).

Finally, we calculate the mean: Mean = \(\frac{360}{40} = 9\).