Find the mode of the following distribution of marks obtained by 80 students
Marks obtained 0-10 10-20 20-30 30-40 40-50
Number of students
6 10 12 32 20

28.42

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34.82

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36.25

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34.86

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Solution

The correct option is C 36.25
Modal class $= 30 - 40$
So we have, $l = 30, f_{0} = 12, f_{1} = 32, f_{2} = 20$ and $h = 10$
$\Rightarrow$ $M o d e = l + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} f_{2}} \times h$

$= 30 + \frac{32 - 12}{2 \times 32 - 12 - 20} \times 10$

$= 30 + 6.25$
$= 36.25$
$∴$ Mode $= 36.25$

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Similar questions

80

C.I.	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Freq.	3	5	16	12	13	20	5	4	1	1

Marks obtained	0-10	10-20	20-30	30-40	40-50	50-60	60-70
No. of students	$2$	$10$	$12$	$15$	$13$	$8$	$4$

25

A

Marks	0-10	10-20	20-30	30-40	40-50
Students	$3$	$A$	$6$	$10$	$5$

Marks:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80	80−90	90−100
Frequency:	3	5	16	12	13	20	5	4	1	1

Marks obtained	0-10	10-20	20-30	30-40	40-50
Number of students	6	10	12	32	20

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