For the following frequency distribution, the variance is approximately equal to
Class Interval
$0 - 5$
$5 - 10$
$10 - 15$
$15 - 20$
$20 - 25$
Frequency
4
1
10
3
2

Question

For the following frequency distribution, the variance is approximately equal to Class Interval 0-5 5-10 10-15 15-20 20-25 Frequency 4 1 10 3 2

Accepted Answer

Correct answer: C. (c) For the following frequency distribution, Cl f_i x_i f_i^i x_i^2 f_i^i 0-5 4 2.5 10 6.25 25 5-10 1 7.5 7.5 56.25 56.25 1015 10 12.5 125 156.25 1562.5 15-20 3 17.5 52.5 306.25 918.75 20-25 2 22.5 45 506.25 1012.50 Total f_i=20 240 3575 Now, variance, V (x )= 1N f_ix_i^2- ( 1N f_ix_i )^2 = 120 3575-( 120 240)^2=178.75-144=34.75

$For the following frequency distribution, the variance is approximately equal to Class Interval 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 Frequency 411032$

Solution

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