Question

one of the ideas that you have explored in previous courses is how to describe a set of data. one of the ways that you may have seen before is finding an average (also called a mean). read the lesson 1.1.3 math notes in canvas to review what a mean is and how to find it. then find the mean for each set of data below.
a) jane’s quiz scores: 82, 64, 73, 91, 85
b) the number of cats your teammates have as pets: 0, 1, 3, 2
c) the number of minutes pam talked on the phone: 35, 40, 12, 16, 25, 10

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points.

Step2: Calculate mean for a)

$n = 5$, $\sum_{i=1}^{5}x_{i}=82 + 64+73 + 91+85=395$. Then $\bar{x}=\frac{395}{5}=79$.

Step3: Calculate mean for b)

$n = 4$, $\sum_{i = 1}^{4}x_{i}=0 + 1+3 + 2=6$. Then $\bar{x}=\frac{6}{4}=1.5$.

Step4: Calculate mean for c)

$n = 6$, $\sum_{i=1}^{6}x_{i}=35 + 40+12 + 16+25+10=138$. Then $\bar{x}=\frac{138}{6}=23$.

Answer:

a) 79
b) 1.5
c) 23