Q 3.1. - The Practice of Statistics for AP

Question

The heights (in inches) of the five starters on a basketball team are $67, 72, 76, 76, \mathrm{and} 84$. Find the interpretation of mean. 

Step-by-Step Solution

Answer

The interpretation of the mean is$\mathbf{75}$.

Step 1: Given information

Given data : 

The heights five starters are $67, 72, 76, 76, \mathrm{and} 84$

Step 2: Concept

Mean is the average value of given parameters.

The formula is $\overline{X}=\frac{\sum _1^{n}x}{n}$

Here $n$ is the count of parameters and $\sum _1^{n}x$ is the summation value.

Step 3: Calculation

Mean is calculated as: 

The Height of five starters are $67,72,76,76,84$ [in inches]

Hence the Mean height of a basketball player is:

$$\begin{gathered} \overline{x}=\frac{62+72+76+76+84}{5} \\ \overline{x}=\frac{375}{5} \\ \overline{x}=75 \end{gathered}$$