Below is given the distribution of money (in Rs.) collected by students for flood relief fund. Find mean of money (in Rs.) collected by a student
Money (in Rs.) 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
No. of students 5 7 5 2 6

Rs.

22.80

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

Rs.

23.80

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

Rs.

24.80

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

Rs.

25.80

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

Open in App

Solution

The correct option is A Rs. $23.80$
Consider the following table, to calculate mean:
$c i$ $f_{i}$ $x_{i}$ $f_{i} x_{i}$
$0 - 10$ 5 5 25
$10 - 20$ 7 15 105
$20 - 30$ 5 25 125
$30 - 40$ 2 35 70
$40 - 50$ 6 45 270
$N = Σ f_{i} = 25$
$Σ f_{i} x_{i} = 595$

Mean $¯ ¯ ¯ x = \frac{Σ f_{i} x_{i}}{N}$
$∴ ¯ ¯ ¯ x = \frac{595}{25} = 23.80$
Hence, option $B$ is correct.

Suggest Corrections

Similar questions

Money (in Rs)	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$ $	40-50$
No. of Students	$5$	$7$	$5$	$2$	$6$

Money (in Rs.)	0-10	10-20	20-30	30-40	40-50
No. of students	5	7	5	2	6

15

R s . 20

\begin{matrix} 25, & 30, & 45, & 50, & 20, & 30, & 40, & 60, & 50, & 70, & 35, & 75, & 55, & 85, & 65, & 30, & 40, \\ 80, & 45, & 60, & 70, & 45, & 65, & 90, & 80, & 85, & 50, & 35, & 25, & 40, & 70, & 60, & 65, & 25, \\ 70, & 30, & 60, & 80, & 55, & 70, & 60, & 75, & 70, & 45, & 60, & 75, & 30, & 55, & 70, & 45 . \end{matrix}

Join BYJU'S Learning Program

Money (in Rs.)	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
No. of students	5	7	5	2	6