Apply Step-Deviation method to find arithmetic mean (rounded off to nearest integer) of the following frequency distribution.

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Solution

Let the assumed mean be $A = 20$ and $h = 5$ .
$N = 32, A = 20, h = 5$ and $\sum f i u i = - 59$
$¯ x = A + h [\frac{1}{N} \sum f i u i]$
$\Rightarrow$ Mean $= 20 + 5 (- 59 / 322)$
$\Rightarrow$ Mean $= 20 - 0.91$
$∴$ Mean $= 19.09$

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Apply Step-Deviation method to find arithmetic mean (rounded off to nearest integer) of the following frequency distribution.

Let the assumed mean be A=20 and h=5.N=32,A=20,h=5 and ∑fiui=−59¯x=A+h[1N∑fiui]⇒ Mean =20+5(−59/322)⇒ Mean =20−0.91∴ Mean =19.09

Let the assumed mean be $A = 20$ and $h = 5$ .
$N = 32, A = 20, h = 5$ and $\sum f i u i = - 59$
$¯ x = A + h [\frac{1}{N} \sum f i u i]$
$\Rightarrow$ Mean $= 20 + 5 (- 59 / 322)$
$\Rightarrow$ Mean $= 20 - 0.91$
$∴$ Mean $= 19.09$