High School

Find the mean length of the flags based on the measurements given below. Round your answer to the nearest centimeter.

[tex]
\[
\begin{tabular}{|l|l|l|l|l|l|}
\hline
50 & 148 & 151 & 150 & 151 & 149 \\
\hline
\end{tabular}
\]
[/tex]

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Answer :

To find the mean length of the flags, follow these steps:

1. First, add all the flag lengths together. The flag lengths are given as
[tex]$$50,\ 148,\ 151,\ 150,\ 151,\ 149.$$[/tex]
Their total is
[tex]$$50 + 148 + 151 + 150 + 151 + 149 = 799.$$[/tex]

2. Next, count the number of flags. There are
[tex]$$6$$[/tex]
flags in total.

3. Calculate the mean (average) length by dividing the total length by the number of flags:
[tex]$$\text{Mean} = \frac{799}{6} \approx 133.1667.$$[/tex]

4. Finally, round the mean to the nearest centimeter:
[tex]$$133.1667 \approx 133.$$[/tex]

Thus, the mean length of the flags is [tex]$\boxed{133}$[/tex] centimeters.