Question

Following are the weekly wages ( in ₹) of $10$ workers in a factory

$300,250,200,150,350,210,270,400,500,380$

Find,

(i) What is the minimum value of the wages given?

(ii) What is the maximum value of the wages given?

(iii)What is the range of the wages given?

(iv) What is the mean of the wages?

(v)How many workers are getting less than the mean value of the wages?

Answer 1

Step 1: Finding the minimum value of the wages:

From the given data, $150$ is the least wage.

So the minimum value of the wages is $150.$

Step 2: Finding the maximum value of the wages:

From the given data, $500$ is the maximum

So the maximum value of the wages is$500.$

Step 3: Finding the range of the wages

Range= Highest value of observation -the lowest value of the observation

$$\begin{gathered} =500-150 \\ =350 \end{gathered}$$ (from steps$1and2$ )

Hence, the range of the given wages is$350.$

Step 4: Finding the mean of the wages:

$$\begin{gathered} Arithmeticmean=\frac{sumofallobservations}{totalnumberofobservations} \\ =\frac{300+250+200+150+350+210+270+400+500+380}{10} \\ =\frac{3010}{10} \\ =301. \end{gathered}$$

Hence, the mean wage is $301.$

Step 5 Finding the wages below the mean wages:

By step $4$, the mean wage is$301$

The number of wages below the mean wages is$6\{300,250,200,150,210,270\}$

Hence, the number of wages below the mean wage is $6.$