The class with the greatest mean sales in a spring fundraising campaign will win a prize. The mean for Trevon’s class is $148. The mean for Samara’s class is $152. Samara’s sales total a value of $150. If Samara moves to Trevon’s class, the mean will increase for each class. Explain why this will occur
SOMEONE HELP. ITS DUE IN A BIT
Samara's sales are above the mean for Trevon's class but below the mean for Samara's class.
Samara's sales are less than her class's mean, and greater than Trevon's class's mean.
To understand why the mean will increase for each class if Samara moves to Trevon's class, we need to understand the concept of mean and how it is calculated.
The mean, also known as the average, is calculated by adding up all the values in a dataset and then dividing the sum by the total number of values. In this case, we are looking at sales in a fundraising campaign as our dataset.
Let's break down the information given:
1. The mean for Trevon's class is $148.
2. The mean for Samara's class is $152.
3. Samara's sales total a value of $150.
Currently, Samara's sales are included in the calculation of her own class's mean, which is $152. However, if she moves to Trevon's class, her sales will be added to the sales of Trevon's class instead.
Now, let's consider the impact on Trevon's class if Samara moves:
1. Trevon's class mean before Samara's move: $148
- This means that the average sales per student in Trevon's class is $148.
2. Trevon's class mean after Samara's move: ?
- This is the mean we want to find out.
To determine the new mean for Trevon's class, we need to consider the sales of both Trevon's class and Samara's sales together.
Currently, when Samara's sales are included in her own class's mean, it is pulling up their average sales. Since Samara's mean sales is $152, her sales must be larger than the average sales in her class.
However, if Samara moves to Trevon's class, her sales will be added to Trevon's class's total, which will increase the sum of sales for Trevon's class. As a result, the average sales per student in Trevon's class will also increase, leading to a higher mean for Trevon's class.
Therefore, when Samara moves to Trevon's class, the mean will increase for each class, as her sales will boost the total sales for Trevon's class and increase the average sales per student.