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Mean

Find the mean...

Question

Find the mean for the following distribution
Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 6 8 13 7 3 2 1

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Solution

Marks

Frequency (fi)

(xi)

(fi)(xi)

10-20

6

15

90

20-30

8

25

200

30-40

13

35

455

40-50

7

45

315

50-60

3

55

165

60-70

2

65

130

70-80

1

75

75

Total=40

Total=1430

$M e a n = \frac{\sum (f i) (x i)}{\sum f i}$
$= \frac{1430}{40}$
$= 35.75$

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Similar questions

Q. Find the mode of the following distribution table:

Class Interval	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	7	14	13	12	20	11	15	8

Q. Write the median class for the following frequency distribution:

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

Q. Find the mean of the following data

Class	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	3	6	8	10	8	5	3

Q. Find the mode of the following distribution.
(i)

Class-interval:	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency:	$5$	$8$	$7$	$12$	$28$	$20$	$10$	$10$

Class-interval:	10-15	15-20	20-25	25-30	30-35	35-40
Frequency:	$30$	$45$	$75$	$35$	$25$	$15$

Class-interval:	25-30	30-35	35-40	40-45	45-50	50-60
Frequency:	$25$	$34$	$50$	$42$	$38$	$14$

Q. Find the mode of the following distribution.

(i)

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

Class-interval:	10−15	15−20	20−25	25−30	30−35	35−40
Frequency:	30	45	75	35	25	15

Class-interval:	25−30	30−35	35−40	40−45	45−50	50−55
Frequency:	25	34	50	42	38	14

Class:	0−10	10−20	20−30	30−40	40−50	50−60	60–70
Frequency:	8	10	10	16	12	6	7

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