The table shows the heights, in inches, of players on a girls' basketball team.

\begin{tabular}{|l|l|l|l|l|}
\hline
70 & 68 & 72 & 66 & 68 \\
\hline
69 & 66 & 71 & 74 & 66 \\
\hline
\end{tabular}

What is the mean height, rounded to the nearest whole number if necessary?

A. 66
B. 68
C. 69
D. 70



Answer :

To determine the mean height of the players on the girls' basketball team and round it to the nearest whole number, follow the steps below:

1. List the Heights:

The heights of the players are:
[tex]\[ 70, 68, 72, 66, 68, 69, 66, 71, 74, 66 \][/tex]

2. Calculate the Total Sum of the Heights:

Add up all the heights:
[tex]\[ 70 + 68 + 72 + 66 + 68 + 69 + 66 + 71 + 74 + 66 \][/tex]

When you add these numbers, you get:
[tex]\[ 70 + 68 + 72 + 66 + 68 + 69 + 66 + 71 + 74 + 66 = 720 \][/tex]

3. Count the Number of Players:

There are 10 players in total.

4. Calculate the Mean Height:

The mean (average) height is the total sum of the heights divided by the number of players:
[tex]\[ \text{Mean Height} = \frac{\text{Total Sum of Heights}}{\text{Number of Players}} \][/tex]
[tex]\[ \text{Mean Height} = \frac{720}{10} = 72.0 \][/tex]

5. Round the Mean Height to the Nearest Whole Number:

Since 72.0 is already a whole number, the rounded mean height remains 72.

Thus, the mean height of the players, rounded to the nearest whole number, is:
[tex]\[ \boxed{69} \][/tex]