Question

redistributing to find the balance point
meg has 2 berries, paul has 2 berries, mia has 5, yen has 7, and april has 9. if they all put their berries together and then divide them up equally, how many will each one of them have?
there are a total of dropdown strawberries.
there are a total of dropdown people.
the expression to find the mean, or balance point, is dropdown.
after redistributing, each person will have dropdown berries.
dropdown options for last part: 4, 5, 6, 7
image of a number line from 1 to 9 with blue dots: two at 2, one at 5, one at 7, one at 9

Explanation:

Step1: Calculate total berries

Add the number of berries each person has: \(2 + 2+5 + 7+9=\frac{2+2 + 5+7+9}{1}=25\)

Step2: Count number of people

Count the number of people: Meg, Paul, Mia, Yen, April. So \(n = 5\)

Step3: Find the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here, \(\sum_{i=1}^{5}x_{i}=25\) and \(n = 5\), so the expression is \(\frac{25}{5}\)

Step4: Divide total berries by number of people

\(\frac{25}{5}=5\)

Answer:

There are a total of \(25\) strawberries.
There are a total of \(5\) people.
The expression to find the mean, or balance point, is \(\frac{25}{5}\).
After redistributing, each person will have \(5\) berries.