Question

Daily wages of 110 workers, obtained in a survey, are tabulated below:

Compute the mean daily wages and modal daily wages of these workers.

Daily

Wages

(in Rs.)

100-120 120-140 140-160 160-180 180-200 200-220 220-240

Number

of

Workers

10 15 20 22 18 12 13​

Answer 1

Answer:

See the attachment

Step-by-step explanation:

Hope it helps you......

Answer 2

Concept Introduction:-

The intent is to transmit or refer to (something specific); signal.

Given Information:-

We have been given that a table.

To Find:-

We have to find that the mean daily wages and modal daily wages of these workers.

Solution:-

According to the problem

look at the table attached with

Here $\mathrm{u}_{\mathrm{i}}=\frac{x_{i}-a}{h}$

Where a $=$ assumed mean $=170$

Now,

$\mathrm{Mean}(\bar{x})=\mathrm{a}+\mathrm{h} \times \frac{\sum f_{i} u_{i}}{\sum f_{i}}$

Where a $=$ assumed mean  $=170$

$\mathrm{h}=$ Class interval $=20$

$\sum f_{i}=110$

$\sum f_{i} u_{i}=1$

Putting values

$\begin{aligned}\mathrm{Mean}(\bar{x}) &=\mathrm{a}+\mathrm{h} \times \frac{\sum f_{1} u_{i}}{\sum f_{i}} \\\mathrm{Mean}(\bar{x}) &=170+20 \times \frac{1}{110} \\\bar{x} &=170+0.18 \\\bar{x} &=170.18\end{aligned}$

Final Answer:-

The Mean Daily wages is Rs.$170.18$.