The marks in science of $80$ students of class X are given below. Find the mode of the marks obtained by the students in science
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

17.36

No worries! We‘ve got your back. Try BYJU‘S free classes today!

36.56

No worries! We‘ve got your back. Try BYJU‘S free classes today!

53.17

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

75.12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $53.17$
$x_{i}$ $f_{i}$
$0 - 10$ $3$
$10 - 20$ $5$
$20 - 30$ $16$
$30 - 40$ $12$
$40 - 50$ $13$
$50 - 60$ $20$
$60 - 70$ $5$
$70 - 80$ $4$
$80 - 90$ $1$
$90 - 100$ $1$

$l = 50, f_{o} = 13, f_{1} = 20, f_{2} = 5, h = 10$
Mode = $l + (\frac{f_{1} - f_{o}}{2 f_{1} - f_{o} - f_{2}}) \times h$

$⟹ M o d e = 50 + (\frac{20 - 13}{40 - 13 - 5}) \times 10$
$⟹ M o d e = 50 + \frac{70}{22} = 50 + 3.17$
$∴ M o d e = 53.17$

Suggest Corrections

Similar questions

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

80

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	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80	80 - 90	90 - 100
No. of Students	3	5	7	10	12	15	12	6	2	8

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

Obtained Marks	20-30	30-40	40-50	50-60	60-70	70-80
Number of students	5	9	8	12	13	3

Join BYJU'S Learning Program

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