Calculate the weighted mean of the following distribution-Whlineitext Weight - 6 - 4 - 5 - 2 Whline array

Calculation of Weighted Mean [ X amp; W amp; XW; 12 amp; 6 amp; 72; 29 amp; 4 ...

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Standard XI

Statistics

Mean of Discrete Series

Calculate the...

Question

Calculate the weighted mean of the following distribution.

$\begin{matrix} Items & 12 & 29 & 14 & 41 Weight & 6 & 4 & 5 & 2 \end{matrix}$

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Solution

Calculation of Weighted Mean

$\begin{matrix} X & W & X W 12 & 6 & 72 29 & 4 & 116 14 & 5 & 70 41 & 2 & 82 \sum W = 17 & \sum X W = 340 \end{matrix}$

$¯ X W = \frac{\sum X W}{\sum W} = \frac{340}{17} = 20$

Thus, $¯ X W = 20$

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Calculate the weighted mean of the following distribution. Items12291441Weight6452

Calculation of Weighted Mean XWXW126722941161457041282∑W=17∑XW=340 ¯XW=∑XW∑W=34017=20 Thus, ¯XW=20

Calculate the weighted mean of the following distribution.

$\begin{matrix} Items & 12 & 29 & 14 & 41 Weight & 6 & 4 & 5 & 2 \end{matrix}$

Calculation of Weighted Mean

$\begin{matrix} X & W & X W 12 & 6 & 72 29 & 4 & 116 14 & 5 & 70 41 & 2 & 82 \sum W = 17 & \sum X W = 340 \end{matrix}$

$¯ X W = \frac{\sum X W}{\sum W} = \frac{340}{17} = 20$

Thus, $¯ X W = 20$