Question

the data set represents the heights, in centimeters, of ten model bridges made for an engineering competition. {13, 14, 14, 16, 16, 16, 16, 18, 18, 19} what is the mean?

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 the sum of data - points

$\sum_{i = 1}^{10}x_{i}=13 + 14+14 + 16+16+16+16+18+18+19=158$.

Step3: Calculate the number of data - points

$n = 10$.

Step4: Calculate the mean

$\bar{x}=\frac{158}{10}=15.8$.

Answer:

$15.8$