Question

Jordan and Alex are pitchers for baseball team and are being evaluated by the coach. The speeds in miles per hour of each their practice pitches is shown below. Which statement is TRUE?

Answer 1

First, let's calculate the mean value of each one. The mean is given by the sum of all values divided by the number of values.

So we have:

`\begin{gathered} Jordan:\\ \\ mean=(60+69+85+68+80+73+65)/(7)=(500)/(7)=71.43\\ \\ \\ \\ Alex:\\ \\ mean=(63+70+79+67+65+72+68)/(7)=(484)/(7)=69.14 \end{gathered}`

The mean value of Jordan is greater, therefore the first option is not correct.

Now, let's calculate the median of each set of values:

`\begin{gathered} Jordan:\\ \\ 60,65,68,69,73,80,85\rightarrow median=4th\text{ }term=69\\ \\ \\ \\ Alex:\\ \\ 63,65,67,68,70,72,79\rightarrow median=4th\text{ }term=68 \end{gathered}`

Jordan has a greater median, therefore the third option is not correct.

The range of values from Jordan is 85 - 60 = 25, and the range of values from Alex is 79 - 63 = 16.

The range from Jordan is greater, therefore the second option is the correct one.