The mode value is $116$ . Find the approximate value of $^{'} X^{'}$ from the following table $:$
Age $4 - 8$ $8 - 12$ $12 - 16$ $16 - 20$ $20 - 24$
Number of children $2$ $4$ X $2$ $1$

3

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

2

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

1

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

4

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

Open in App

Solution

The correct option is A $3$
Given Mode $= 116$

Age

Number of Children

$04 - 08$

$2$

$08 - 12$

$4$

$12 - 16$

$X$

$16 - 20$

$2$

$20 - 24$

$1$

$M o d e = l + (\frac{f_{1} - f_{0}}{{2 f}_{1} - f_{0 -} f_{2}}) \times h => 116 = 12 + (\frac{x - 4}{2 x - 4 - 2}) \times 4 => \frac{104}{4} = \frac{x - 4}{2 x - 6} => 208 x - 624 = 4 x - 16 => 204 x = 608 => x = \frac{608}{204} x = 2.98$
Approx value of $x = 3$

Suggest Corrections

Similar questions

30

p

:

Score	$12 - 14$	$14 - 16$	$16 - 18$	$18 - 20$
Frequency	$2$	$4$	P	$8$

p

16.6

$x$ :	$8$	$12$	$15$	$p$	$20$	$25$	$30$
$f$ :	$12$	$16$	$20$	$24$	$16$	$8$	$4$

Class	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$	$24 - 28$
Frequency	$9$	$6$	$12$	$7$	$15$	$3$

Class	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$	$24 - 28$
Frequency	$9$	$16$	$12$	$7$	$15$	$1$

:

$X$	$2 - 4$	$4 - 6$	$6 - 8$	$8 - 10$	$10 - 12$	$12 - 14$	$14 - 16$
$F$	$1$	$2$	$2$	$3$	$6$	$3$	$2$

Join BYJU'S Learning Program