6. Calculate the missing frequency from the following distribution, it being given that the median of the distribution is \[\mathbf{24}.\] \[\]
6. Calculate the missing frequency from the following distribution, it being given that the median of the distribution is \[\mathbf{24}.\] \[\]

Solution:

Let the unknown frequency be taken as x,

It’s given that

Median \[=\text{ }24\] Then, median class = \[20\text{ }\text{ }30;\text{ }L\text{ }=\text{ }20,~h\text{ }=\text{ }30\text{ }-20\text{ }=\text{ }10,\text{ }f\text{ }=\text{ }x,~F\text{ }=\text{ }30\]

\[4x\text{ }=\text{ }275\text{ }+\text{ }5x\text{ }\text{ }300\]

\[4x\text{ }\text{ }5x\text{ }=\text{ }\text{ }25\]

\[\text{ }x\text{ }=\text{ }\text{ }25\]

\[x\text{ }=\text{ }25\]

Therefore, the Missing frequency \[=\text{ }25\]