For a symmetrical distribution $Q_{1} = 20$ and $Q_{3} = 40$ . The value of $50 t h$ percentile is

20

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

30

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

40

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

None of these

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

Open in App

Solution

The correct option is B $30$
We have,
$P_{50} = Median = \frac{Q_{3} + Q_{1}}{2} = \frac{40 + 20}{2} = 30$

Suggest Corrections

Similar questions

Q_{3}

Marks Group	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	2 $5 - 30$	$30 - 35$	$35 - 40$	$40 - 45$
No. of Students	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$1$

100

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f_{i}$	$8$	$30$	$b$	$c$	$d$

23

b

Class	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Freq.	10	15	25	40	35	20	5

24

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Number of students	$7$	a	$8$	$10$	$5$

Join BYJU'S Learning Program