Question

1. match each situation to the number that best models it.

zero positive integer negative integer
depositing money into the bank
standing at sea level
paying for school supplies

1. calculate the mean: what is the average age of the students?

the following are the ages of students in a small class: 10, 12, 10, 14, 16, 10, 14, 12

Explanation:

Step1: Analyze depositing money

Depositing money increases your balance, so it is modeled by a positive integer.

Step2: Analyze standing at sea - level

Sea - level is defined as 0, so it is modeled by zero.

Step3: Analyze paying for school supplies

Paying for school supplies is an expense, which means a decrease in money, so it is modeled by a negative integer.

Step4: Calculate the mean of student ages

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here, $n = 8$, and $\sum_{i=1}^{8}x_{i}=10 + 12+10 + 14+16+10+14+12=98$. Then $\bar{x}=\frac{98}{8}=12.25$.

Answer:

Depositing money into the bank: Positive Integer
Standing at Sea Level: Zero
Paying for school supplies: Negative Integer
Mean of student ages: 12.25