Question

If the mean of the following data is \(12.5\), find the value of \(k\).

\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class interval} & 0\text{-}5 & 5\text{-}10 & 10\text{-}15 & 15\text{-}20 & 20\text{-}25 \\ \hline \text{Frequency} & 2 & k & 6 & 4 & 1 \\ \hline \end{array} \]

• A. \(1\)
• B. \(2\)
• C. \(3\)
• D. \(4\)

Hint:

For grouped data, \[ \boxed{ \bar{x} = \frac{\sum fx}{\sum f} } \] where \(x\) is the class mark of each interval.

Answer 1

The Correct Option is B