Class interval $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$
Frequency $7$ $12$ $8$ $10$
Find the mean of the following data using Assumed mean method.

19.781

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20.836

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20.337

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21.005

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Solution

The correct option is B $20.337$
Answer:- Using Shortcut method

Class Interval $x$ Frequency
$f$ $d = x - A$ $f_{d}$
$10 - 15$ $13$ $7$ $- 4$ $- 28$
$15 - 20$ $17 = A$ $12$ $0$ $0$
$20 - 25$ $23$ $8$ $6$ $48$
$25 - 30$ $27$ $10$ $10$ $100$
$Σ f = 37$ $Σ f_{d} = 120$
Mean = $A + \frac{Σ f_{d}}{Σ f} = 17 + \frac{120}{37} = 17 + 3.337 = 20.337$
Hence option $(C)$ is correct

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Similar questions

Class interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$
Frequency	$8$	$11$	$6$	$13$	$12$

Class Interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$7$	$8$	$12$	$13$	$10$

= 25

$C . I$	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f$	$7$	$10$	$15$	$8$	$10$

Find the mean of the following data using assume mean method :

Class 0-10 ; F 8

Class 10-20 ; F 12

Class 20-30 ; F 10

Class 30-40 ; F 6

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