Chapter 10.1, Problem 21HP

To determine

To evaluate: Find the measure of center that represents the data.

Answer to Problem 21HP

Therefore, $\text{median}=75$ represents the measure of center.

Explanation of Solution

Assumed information:

  $\begin{array}{l}\text{Interpreting data, A golf team's members had the scores below in the tournament,}\\ \text{70,72,74,76,80,114}\end{array}$

Calculation: The given data can be evaluated as,

  $\begin{array}{l}70,72,74,76,80,114\\ \text{mean=}\frac{\text{sum}\text{of}\text{the}\text{terms}}{\text{number}\text{of}\text{terms}}\\ \text{mean}=\frac{70+72+74+76+80+114}{6}\\ \text{mean}=81\\ 70,72,74,76,80,114\\ \text{median}={\left\{\left(n+1\right)/2\right\}}^{th}\text{term}\\ \text{median}=\frac{74+76}{2}\\ \text{median}=75\end{array}$

Median represents the middle point of set of scores. That is, half team scored more than the median and half team scored lower than the median.

Therefore, $\text{median}=75$ represents the measure of center.