Question

Find the mean of the following data: \ \[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Variable} & 2 & 4 & 6 & 10 & 12 \\ \hline \text{Frequency} & 3 & 2 & 3 & 1 & 2 \\ \hline \end{array} \]

Hint:

Mean of Data: Use the formula \( \text{Mean} = \frac{\sum (x_i \cdot f_i)}{\sum f_i} \).

Answer 1

Mean is given by:
\[ \text{Mean} = \frac{\sum (x_i \cdot f_i)}{\sum f_i} \] Calculating:
\[ \sum (x_i \cdot f_i) = (2 \times 3) + (4 \times 2) + (6 \times 3) + (10 \times 1) + (12 \times 2) = 6 + 8 + 18 + 10 + 24 = 66 \] \[ \sum f_i = 3 + 2 + 3 + 1 + 2 = 11 \] \[ \text{Mean} = \frac{66}{11} = 6 \] Thus, the mean is \( \mathbf{6} \).
Correct Answer: \( 6 \)