Find the mode of the following data:
Marks Below 10 Below 20 Below 30 Below 40 Below 50
No. of students 8 20 45 58 70

Open in App

Solution

In the given frequency distribution , $h = 10$

Class $20 - 30$ has maximum frequency. i.e., $25$

Therefore, $20 - 30$ is the model class in which $l = 20$ and $f_{m} = 25.$

Here, $f_{1} = 12$ and $f_{2} = 13$

$M o d e = l + (\frac{f_{m} - f_{1}}{2 f_{m} - f_{1} - f_{2}}) \times h$

$= 20 + (\frac{25 - 12}{50 - 12 - 13}) \times 10$

$= 20 + \frac{130}{25}$

$= 20 + 5.2$

$= 25.2$ (Ans)

Suggest Corrections

Similar questions

Marks:	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60	Below 70	Below 80	Below 90	Below 100
Number of students:	5	9	17	29	45	60	70	78	83	85

Marks scored	below 20	below 40	below 60	below 80	below 100
Number students	6	10	20	36	50

Marks	Below $10$	Below $20$	Below $30$	Below $40$	Below $50$
No. of Students	8	20	45	58	70

\begin{matrix} M a r k s & B e l o w 20 & B e l o w 40 & B e l o w 60 & B e l o w 80 & B e l o w 100 N u m b e r o f s t u d e n t s & 17 & 22 & 29 & 37 & 50 \end{matrix}

Join BYJU'S Learning Program