Short Answer
The range of wages paid to staff is from £140 to £525, with a mean wage of £226. This was determined by identifying the minimum and maximum wage values and calculating the average based on the total sum of wages divided by the number of staff members.
Step 1: Determine the Range of Wages
The range of wages is calculated by identifying the minimum and maximum amounts in the data set. In this case, the weekly wages paid to staff are £245, £140, £525, £163, £195, £174, and £140. By examining these values:
- Minimum wage = £140
- Maximum wage = £525
Thus, the range of wages is from £140 to £525.
Step 2: Calculate the Mean Wage
The mean wage represents the average wage calculated by dividing the total sum of wages by the number of workers. To find this, sum up all the individual wages:
- Sum of wages = £245 + £140 + £525 + £163 + £195 + £174 + £140 = £1582
- Number of observations = 7 (total staff members)
Now, using the formula for mean:
Mean Wage = Total Sum of Wages / Number of Staff = £1582 / 7 = £226
Step 3: Present the Final Results
After calculating the range and mean, you can summarize the findings to provide a clear answer. The minimum wage is £140 while the maximum is £525, which shows the spread of wages. Furthermore, the average wage is calculated as £226:
- Range of wages = £140 to £525
- Mean wage = £226
This concludes the analysis of the wages paid to staff.