The mode of the following frequency distribution is
Class 1- 10 11-20 21-30 31-40 41-50
$f_{i}$ 5 7 8 6 4

24

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23.83

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27.16

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None of these

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Solution

The correct option is B $23.83$
First we changed the classes into continuous form,we have
class 0.5 - 10.5 10.5 - 10.5 20.5 - 30.5 30.5 - 40.5 40.5 - 50.5
$f_{i}$ 5 7 8 6 4
Here model class is $20.5 - 30.5$ .
$∴ M o d e = l + \frac{(f_{0} - f_{1})}{2 f_{0} - f_{1} - f_{2}} \times h$
$= 20.5 + \frac{(8 - 7)}{(16 - 7 - 6)} \times 10 = 23.83$

Suggest Corrections

Marks	1 - 10	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60	61 - 70	71 - 80
Frequency	3	8	12	14	10	6	5	2

Weight (in mg)	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60
No. of seeds	18	22	30	16	4

marks	11-20	21-30	31-40	41-50	51-60	61-70	71-80
number of students	2	6	10	12	9	7	4

class	0.5 - 10.5	10.5 - 10.5	20.5 - 30.5	30.5 - 40.5	40.5 - 50.5
$f_{i}$	5	7	8	6	4