Question

the table shows information about donations made to an animal shelter. in calculating the mean donation amount, which steps would you need to take? check all that apply. donation amount number of people $500 3 $100 7 $50 5 $10 10 multiply each donation amount by the number of people. add the total amount of money. add the total number of people. 2,550 ÷ 25 = $102 25 ÷ 2,550 = $0.01

Explanation:

Step1: Recall mean - formula for grouped data

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}f_{i}}{\sum_{i = 1}^{n}f_{i}}$, where $x_{i}$ is the value of the variable and $f_{i}$ is the frequency. Here, the donation amount is $x_{i}$ and the number of people is $f_{i}$. First, we need to multiply each donation amount ($x_{i}$) by the number of people ($f_{i}$).

Step2: Calculate total amount

After multiplying each donation - amount by the number of people, we add these products to get the total amount of money $\sum_{i = 1}^{n}x_{i}f_{i}$.

Step3: Calculate total number of people

We add the number of people in each category to get $\sum_{i = 1}^{n}f_{i}$.

Step4: Calculate the mean

Then we divide the total amount of money by the total number of people.

Answer:

Multiply each donation amount by the number of people.
Add the total amount of money.
Add the total number of people.
$2,550\div25 = $102