Class intervals / Frequency

15-25. 6

25-35. 11

35-45 . 7

45-55. 4

55-65. 4

65-75. 2

75-85 . 1

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Solution

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to find mean, varience and standard deviation
Class . F. X . Xf .
15-25. 6. 20. 120
25-35. 11 . 30. 330
35-45. 7. 40. 280
45-55. 4 . 50 . 200
55-65 . 4 . 60 . 240
65-75 . 2 . 70 . 140
F(a-x)^2
2330.88
1037.08
0.5887
423.52
1646.72
1834.96
1623.28
Sigma xf = 1390
n= 35
Mean(a) = sigma xf/n
= 1390/35
= 39.71
sigma f(a-x)^2 = 8897.88
Variance =
sigma f(a-x)^2/n
= 8897.88/35
= 254.2

Standard deviation =
Sqaure root of variance = 15.94

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Similar questions

Class Interval	$5 - 10$	$10 - 15$	$15 - 25$	$25 - 45$	$45 - 75$
Frequency	$6$	$12$	$10$	$8$	$15$

25 - 45

Class intervals	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$4$	$6$	$3$	$2$	$1$

\begin{matrix} C l a s s i n t e r v a l & 5 - 10 & 10 - 15 & 15 - 25 & 25 - 45 & 45 - 75 F r e q u e n c y & 6 & 12 & 10 & 8 & 15 \end{matrix}

(x) : x_{1} x_{2} x_{3} \dots x_{15}

f (x) : f_{1} f_{2} f_{3} \dots f_{15}

0 < x_{1} < x_{2} < x_{3} < . . . . < x_{15} = 10

15 \sum i = 1 f_{i} > 0

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

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