Question:
The mean of the following distribution is 25.
\[
\begin{array}{|c|c|}
\hline
\text{Class} & \text{Frequency} \\
\hline
0-10 & 14 \\
10-20 & p \\
20-30 & 27 \\
30-40 & 21 \\
40-50 & 15 \\
\hline
\end{array}
\]
The mean of the following distribution is 25.
\[
\begin{array}{|c|c|}
\hline
\text{Class} & \text{Frequency} \\
\hline
0-10 & 14 \\
10-20 & p \\
20-30 & 27 \\
30-40 & 21 \\
40-50 & 15 \\
\hline
\end{array}
\]
Show Hint
For frequency distributions, to calculate the mean, multiply each class midpoint by the corresponding frequency, then divide by the total number of observations.
Updated On: Apr 19, 2025
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The Correct Option is B
Solution and Explanation
We use the formula for mean \( \bar{x} = \frac{\sum f_i x_i}{\sum f_i} \). Given that the mean is 25, we can calculate the value of \( p \) by solving for the equation.
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