section 3.1 homework\nquestion a\nthe list below shows the ages (in years) of 11 people riding in a van to a…

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $x_{i}$ are the individual data - points. Here $n = 11$, and the data set is ${11,13,8,11,9,11,14,13,14,18,6}$.

Step2: Calculate the sum of data - points

$\sum_{i = 1}^{11}x_{i}=11 + 13+8 + 11+9+11+14+13+14+18+6=138$.

Step3: Calculate the mean

$\bar{x}=\frac{138}{11}\approx12.5$ (rounded to the nearest tenth).

Step4: Recall median formula

To find the median, first order the data set: ${6,8,9,11,11,11,13,13,14,14,18}$. Since $n = 11$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{11+1}{2}=6$ - th value. So the median is $11$.

Answer:

mean: $12.5$ median: $11$