The hourly wages of 30 workers are given below- Find the mean wage using the assumed mean method- begin array - c - c - Wline Wage in - Rs - Number of - workers l Wline 10 - 6 lWhine20 - 811Wline30 - 9 1AWhine 40 - 4 1Wline150 - 3 1Wline end array A- Rs 18B- None of theseC- Rs 26-66D- Rs 30

The correct option is C Rs 26.66Choose 30 as the assumed mean [ X amp; F amp; D amp; FD; amp; amp; (X A) am ...

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Standard XI

Statistics

Mean of Discrete Series

The hourly wa...

Question

The hourly wages of 30 workers are given below. Find the mean wage using the assumed mean method.
$\begin{matrix} W a g e (i n R s) & N u m b e r o f w o r k e r s 10 & 6 20 & 8 30 & 9 40 & 4 50 & 3 \end{matrix}$

Rs 18

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Rs 26.66

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Rs 30

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None of these

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Solution

The correct option is B Rs 26.66
Choose 30 as the assumed mean

$\begin{matrix} X & F & D & F D (X - A) 10 & 6 & - 20 & - 120 20 & 8 & - 10 & - 80 30 (= A) & 9 & 0 & 0 40 & 4 & 10 & 40 50 & 3 & 20 & 60 \sum F = 30 & - 100 \end{matrix}$

$M e a n w a g e = A + \frac{\sum F D}{\sum F} = 30 + \frac{- 100}{30} = R s 26.66$

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Similar questions

Q. The hourly wages of 30 workers are given below. Find the mean deviation about the mean of the wages.

\begin{matrix} W a g e (i n R s) & N u m b e r o f w o r k e r s 10 & 5 20 & 9 30 & 9 40 & 4 50 & 3 \end{matrix}

Q. Consider the following distribution of daily wages of 50 workers of a factory.

Daily wages (in Rs.)	100-120	120-140	140-160	160-180	180-200
Number of workers	12	14	8	6	10

Find the mean daily wages of the workers of the factory by using an appropriate method.

Question 2
Consider the following distribution of daily wages of 50 worker of a factory.

$\begin{matrix} Daily wages (in Rs) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Number of workers & 12 & 14 & 8 & 6 & 10 \end{matrix}$

Find the mean daily wages of the workers of the factory by using an appropriate method.

Q. Given below is the frequency distribution of wages (in Rs) of 30 workers in a certain factory:

Wages (in Rs)	110-130	130-150	150-170	170-190	190-210	210-230	230-250
No. of workers	3	4	5	6	5	4	3

A worker is selected at random. Find the probability that his wages are:
(i) less than Rs 150
(ii) at least Rs 210
(iii) more than or equal to 150 but less than Rs 210.

Given below is frequency distrigution of wages (in Rs ) of 30 workers in certain factory:

$\begin{matrix} Wages (in Rs) & 110 - 130 & 130 - 150 & 150 - 170 & 170 - 190 & 190 - 210 & 210 - 230 & 230 - 250 No.of workers & 3 & 4 & 5 & 6 & 5 & 4 & 3 \end{matrix}$

A worker is selected at random. Find the probability that his wages are:

(i) less than $R s . 150$ (ii) at least $R s . 210$ (iii) more than or equal to $150$ but less than $R s . 210$ .

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The hourly wages of 30 workers are given below. Find the mean wage using the assumed mean method. Wage (in Rs)Number of workers106208309404503

The correct option is B Rs 26.66Choose 30 as the assumed mean XFDFD(X−A)106−20−120208−10−8030(=A)90040410405032060 ∑F=30−100 Mean wage=A+∑FD∑F=30+−10030=Rs 26.66

The hourly wages of 30 workers are given below. Find the mean wage using the assumed mean method.
$\begin{matrix} W a g e (i n R s) & N u m b e r o f w o r k e r s 10 & 6 20 & 8 30 & 9 40 & 4 50 & 3 \end{matrix}$