Find variance for following data:
Marks $0 - 4$ $5 - 9$ $10 - 14$ $15 - 19$ $20 - 24$ $25 - 29$ $30 - 34$ $35 - 39$
Frquency $2$ $5$ $7$ $13$ $21$ $16$ $8$ $3$

7

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55

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64

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78

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Solution

The correct option is C $64$
$¯ x = \frac{\sum F x}{\sum F} = \frac{1605}{75} = 21.4$
$σ^{2} = \frac{\sum F (x - ¯ x)^{2}}{\sum F} = \frac{4798}{75} = 63.97 \approx 64$

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Similar questions

Marks	:	5-9	10-14	15-19	20-24	25-29	30-34	35-39
Students	:	1	3	8	5	4	2	2

125

22.12

f_{1}

f_{2}

Class	$0 - 4$	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$
Frequency	$3$	$8$	$12$	$f_{1}$	$35$	$21$	$f_{2}$	$6$	$2$

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:

Marks	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$
Frequency	$6$	$5$	$9$	$12$	$6$	$2$

Class	:	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40
Frequency	:	2	5	7	13	21	16	8	3

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