What is the mean number of cars sold for this month?
Salesperson | Number of Cars Sold |
Frank | 25 |
Sara | 20 |
Randy | 15 |
Braheem | 22 |
Alice | 20 |
To find the mean number of cars sold, we first list the individual sales for each of the five salespersons: Frank sold 25 cars, Sara sold 20 cars, Randy sold 15 cars, Braheem sold 22 cars, and Alice sold 20 cars. There are a total of 5 salespersons.
The mean, also known as the arithmetic average, is calculated by summing all individual values and then dividing by the total number of entries. The formula is:
\[\text{Mean} = \frac{\text{Sum of all cars sold}}{\text{Total number of salespersons}}\]
In this case, we have \(n = 5\) salespersons.
Now, we sum the number of cars sold by each person:
\[25 + 20 + 15 + 22 + 20 = 102\]
The total number of cars sold by all five salespersons is 102.
Finally, we divide the total number of cars sold by the number of salespersons:
\[\text{Mean} = \frac{102}{5} = 20.4\]
The mean number of cars sold for the month is 20.4.
Calculating the mean is very useful in everyday life, especially in business or performance tracking. For instance, if you want to know the average productivity of a team over a period, finding the mean helps you set realistic goals for future months. If your team sold 25, 20, 15, 22, and 20 units respectively, the average \(\frac{25+20+15+22+20}{5} = 20.4\) gives you a clear baseline to compare individual performance.