Find mode from the following grouped frequency distribution table:
Number of Trees Planted Number of Students
$0 - 10$ $30$
$10 - 20$ $60$
$20 - 30$ $50$
$30 - 40$ $70$
$40 - 50$ $40$

38

trees

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

36

trees

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

35

trees

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

34

trees

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

Open in App

Solution

The correct option is A $34$ trees
$N = 30 + 60 + 50 + 70 + 40 = 250$
$⟹ \frac{N}{2} = 125$
Since, the highest frequency of students is $70$ . So, $30 - 40$ is the modal group.
$⟹ L = 30$
Also, $f_{0} = 50$ , frequency of the group before the modal group
$f_{1} = 70$ , frequency of the modal group
$f_{2} = 40$ , frequency of the group after modal group.
$h = 10$ , width of the group
Then, Mode $= L + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h$
$= 30 + \frac{70 - 50}{140 - 50 - 40} \times 10$
$= 30 + \frac{20}{50} \times 10$
$= 30 + 4 = 34$
Hence, mode is $34$ trees.

Suggest Corrections

Similar questions

Heights in metre	$16 - 20$	$21 - 25$	$26 - 30$	$31 - 35$	$36 - 40$	$41 - 45$	$46 - 50$	$51 - 55$
Number of trees	$10$	$15$	$25$	$30$	$30$	$50$	$35$	$20$

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

:

X	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
F	$20$	$10$	$10$	$10$	$40$	$30$

No. of trees	10-15	15-20	20-25	25-30	30-35	35-40
No. of societies	2	7	9	8	6	4

50

Marks obtained	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
No. of students	$5$	$12$	$20$	$10$	$3$

Join BYJU'S Learning Program