Calculate variance of the following data :

Class interval Frequency
4-8 3
8-12 6
12-16 4
16-20 7

Mean (x̅) = \(\rm\frac{f_ix_i}{f_i}=\frac{3\times6+6\times10+4\times14+7\times18}{20}=13\)

1
15
2
19
3
30
4
24

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