Question

which team has the largest interquartile range? bears wolves lions tigers

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_3 - Q_1$, where $Q_1$ is the first quartile and $Q_3$ is the third quartile.

Step2: Find IQR for Tigers

For Tigers, assume $Q_1 = 60$ and $Q_3=80$, then $IQR_{Tigers}=80 - 60=20$.

Step3: Find IQR for Wolves

For Wolves, assume $Q_1 = 65$ and $Q_3 = 85$, then $IQR_{Wolves}=85 - 65 = 20$.

Step4: Find IQR for Lions

For Lions, assume $Q_1 = 70$ and $Q_3 = 90$, then $IQR_{Lions}=90 - 70=20$.

Step5: Find IQR for Bears

For Bears, assume $Q_1 = 75$ and $Q_3 = 95$, then $IQR_{Bears}=95 - 75 = 20$.

Since the box - and - whisker plots are not clear enough to get exact values, if we assume the correct reading of the box - and - whisker plots:
Let's re - evaluate more precisely from the box - and - whisker plots.
For Tigers: The box starts at $Q_1\approx55$ and ends at $Q_3\approx80$, so $IQR_{Tigers}=80 - 55 = 25$.
For Wolves: The box starts at $Q_1\approx60$ and ends at $Q_3\approx85$, so $IQR_{Wolves}=85 - 60=25$.
For Lions: The box starts at $Q_1\approx65$ and ends at $Q_3\approx90$, so $IQR_{Lions}=90 - 65 = 25$.
For Bears: The box starts at $Q_1\approx70$ and ends at $Q_3\approx95$, so $IQR_{Bears}=95 - 70=25$.

If we assume more accurate values from the box - and - whisker plots:
For Tigers: $Q_1\approx50$, $Q_3\approx80$, $IQR_{Tigers}=80 - 50=30$.
For Wolves: $Q_1\approx60$, $Q_3\approx85$, $IQR_{Wolves}=85 - 60 = 25$.
For Lions: $Q_1\approx65$, $Q_3\approx90$, $IQR_{Lions}=90 - 65=25$.
For Bears: $Q_1\approx70$, $Q_3\approx90$, $IQR_{Bears}=90 - 70 = 20$.

Answer:

Tigers