Let M denote the median of the following frequency distribution Class 0 - 4 4 - 8 8 - 12 1…

Question

Let M denote the median of the following frequency distribution

Class
    0 - 4
    4 - 8
    8 - 12
    12 - 16
    16 - 20

Frequency
    3
    9
    10
    8
    6

Then 20M is equal to :

Accepted Answer

Class
    Frequency
    Cumulative
frequency

0-4
    3
    3

4-8
    9
    12

8-12
    10
    22

12-16
    8
    30

16-20
    6
    36

$$\begin{aligned}
& \mathrm{M}=1+\left(\frac{\frac{\mathrm{N}}{2}-\mathrm{C}}{\mathrm{f}}\right) \mathrm{h} \
& \mathrm{M}=8+\frac{18-12}{10} \times 4 \
& \mathrm{M}=10.4 \
& 20 \mathrm{M}=208
\end{aligned}$$

Solutions · 1