Question

These are the weekly wages paid to staff in a hotel. £245 £140 £525 £163 £195 £174 £140 What is the range of these wages? £ What is the mean wage?

Answer 1

Range of wages is £140 to £525.

Mean wage = £226

Explanation:

Given:

Weekly wages paid to the staff are :

£245, £140, £525, £163, £195, £174 and £140.

To find:

Range of these wages = ?

Mean wage = ?

Solution:

First of all, let us learn about the range of wages and mean wage.

Range of wages has a minimum pay and a maximum pay.

Here, if we have a look £140 is the minimum pay and

£525 is the maximum pay.

So, range of wages is £140 to £525.

Mean wage means the average of all the wages given to the staff.

Mean is defined as the formula:

`\text{Average/Mean =} \frac{\text{Sum of all the observations}}{\text{Number of observations}}`

Here, Sum of all observations mean sum of the wages of all the staff members.

Number of observations mean the number of staff members i.e. 7 here.

Applying the formula:

`\text{Average/Mean =} \frac{\text{245+140+525+163+195+174+140}}{\text{7}} \\\Rightarrow \text{Average/Mean =} \frac{\text{1582}}{\text{7}}\\\Rightarrow \text{Average/Mean =} 226`

So, the answer is:

Range of wages is £140 to £525.

Mean wage = £226