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A track coach records three sprinters' statistics throughout the season. The median 400-meter race time, in seconds, and the interquartile range (IQR) for each athlete are recorded in the table below.

\begin{tabular}{|c|c|c|}
\hline
Athlete A & Athlete B & Athlete C \\
\hline
Median [tex]$=63$[/tex] & Median [tex]$=61$[/tex] & Median [tex]$=59$[/tex] \\
IQR [tex]$=3$[/tex] & IQR [tex]$=2$[/tex] & IQR [tex]$=4$[/tex] \\
\hline
\end{tabular}

Use the information in the table to complete the following statement.

Athlete [tex]$\square$[/tex] shows the most consistency in her 400-meter race time, because her [tex]$\square$[/tex] is the [tex]$\square$[/tex].



Answer :

GinnyAnswer
To determine which athlete shows the most consistency in her 400-meter race time, we need to compare the interquartile ranges (IQR) of each sprinter. The IQR is a measure of statistical dispersion indicating the range within which the middle 50% of values fall. Therefore, the smaller the IQR, the more consistent the athlete's race times are.

From the given data:
- Athlete A: IQR = 3
- Athlete B: IQR = 2
- Athlete C: IQR = 4

Comparing these IQR values, Athlete B with an IQR of 2 has the smallest interquartile range.

Hence, the completed statement should be:
Athlete B shows the most consistency in her 400-meter race time, because her IQR is the smallest.

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