Find the arithmetic mean of the following data using step deviation method.

25

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22

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26

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27

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Solution

The correct option is D $27$
Answer:-
Class interval width (i) = 9

No. of wickets
X No. of bowlers
F $u = \frac{X - A}{i}$ Fu
9 3 -1 -3
18 = A 6 0 0
27 9 1 9
36 12 2 24
$Σ f = 30$ $Σ f u = 30$
Mean = $A + \frac{Σ f u}{Σ f} = 18 + \frac{30}{30} \times 9 = 18 + 9 = 27$
D) 27

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No. of wickets X	No. of bowlers F	$u = \frac{X - A}{i}$	Fu
9	3	-1	-3
18 = A	6	0	0
27	9	1	9
36	12	2	24
	$Σ f = 30$		$Σ f u = 30$

Find the arithmetic mean of the following data using step deviation method.

The correct option is D 27Answer:- Class interval width (i) = 9No. of wicketsX No. of bowlersFu=X−Ai Fu9 3-1 -318 = A 600 27 91936 12224 Σf=30 Σfu=30 Mean = A+ΣfuΣf=18+3030×9=18+9=27D) 27

The correct option is D $27$
Answer:-
Class interval width (i) = 9

No. of wickets
X No. of bowlers
F $u = \frac{X - A}{i}$ Fu
9 3 -1 -3
18 = A 6 0 0
27 9 1 9
36 12 2 24
$Σ f = 30$ $Σ f u = 30$
Mean = $A + \frac{Σ f u}{Σ f} = 18 + \frac{30}{30} \times 9 = 18 + 9 = 27$
D) 27