Find the mean from the following frequency distribution of marks at a test in statistics:

Marks (x): 5 10 15 20 25 30 35 40 45 50

No. of students (f): 15 50 80 76 72 45 39 9 8 6

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Solution

Let the assumed mean beand .

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the mean marks is 22.075.

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Similar questions

Maks ( $x$ ):	$5$	$10$	$15$	$20$	$25$	$30$	$35$	$40$	$45$	$50$
No. of students ( $f$ )	$15$	$50$	$80$	$76$	$472$	$45$	$39$	$9$	$8$	$6$

x \in R

20

Marks	2	3	5	7
Frequency	$(x + 1)^{2}$	$(2 x - 5)$	$x^{2} - 3 x$	$x$

100

50

Marks	0-9	10-19	20-29	30-39	40-49
No. of students	8	15	20	45	12

Marks	:	0-10	10-20	20-30	30-40	40-50
No. of Students	:	3	10	14	10	3

25

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Marks (x):	5	10	15	20	25	30	35	40	45	50
No. of students (f):	15	50	80	76	72	45	39	9	8	6