Calculate mean deviation using median and coefficient of mean deviation - begin array - Whlineitext Class Intervals - 5-15 - 15-25 - 25-35 - 35-45 - 45-55 iWhlineFrequency - 5 - 4 - 5 - 4 - 2 Whline array

N/2 = 20/2 = 10th item, Median class is 25 35 M = l_1 + N/2 c.f/f× i = 25 + 10 9/5× 10 = 25 + 2 = 27 M.D_M = ∑ f|D|/N=226/20=11.3, Coefficient of M.D_M = M. ...

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Standard XI

Statistics

Mean of Continuous Series

Calculate mea...

Question

Calculate mean deviation using median and coefficient of mean deviation :

$\begin{matrix} Class Intervals & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 F r e q u e n c y & 5 & 4 & 5 & 4 & 2 \end{matrix}$

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Solution

$\frac{N}{2} = \frac{20}{2} = 10 t h item$ , Median class is 25 - 35

$M = l_{1} + \frac{\frac{N}{2} - c . f}{f} \times i = 25 + \frac{10 - 9}{5} \times 10 = 25 + 2 = 27$

$M . D_{M} = \frac{\sum f | D |}{N} = \frac{226}{20} = 11.3$ , Coefficient of $M . D_{M} = \frac{M . D_{M}}{M} = \frac{11.3}{27} = 0.4185$

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Calculate mean deviation using median and coefficient of mean deviation : Class Intervals5−1515−2525−3535−4545−55Frequency54542

N2=202=10th item, Median class is 25 - 35 M=l1+N2−c.ff×i=25+10−95×10=25+2=27 M.DM=∑f|D|N=22620=11.3, Coefficient of M.DM=M.DMM=11.327=0.4185

Calculate mean deviation using median and coefficient of mean deviation :

$\begin{matrix} Class Intervals & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 F r e q u e n c y & 5 & 4 & 5 & 4 & 2 \end{matrix}$