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\begin{tabular}{l} One of the events at the annual Glacier City Hockey All-Star Competition is a contest to see \\ which player has the fastest slap shot. Recent winners have all had slap shots over 100 mile \\ per hour, with some approaching 110 miles per hour. Over the past 10 years, the median \\ winning slap shot speed is about 105.7 miles per hour, and the interquartile range is 5.3 \\ miles per hour. \\ Which is a typical speed of a winning slap shot in this competition? \\ 5.3 miles per hour \\ 100 miles per hour \\ 105.7 miles per hour \\ 110 miles per hour \\ Wher \\ \hline\end{tabular}

Ask by Ray Joseph. in the United States
Jan 24,2025

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Answer

A typical winning slap shot speed is 105.7 miles per hour.

Solution

The **median** is a measure of central tendency that represents the middle value of a dataset. In this context: - **Median winning slap shot speed**: 105.7 miles per hour - **Interquartile range (IQR)**: 5.3 miles per hour (this measures the spread of the middle 50% of the data) Given that the median provides a typical or central value around which the data points are distributed, **105.7 miles per hour** is considered a typical speed for a winning slap shot in this competition. **Answer:** 105.7 miles per hour

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A typical speed of a winning slap shot in this competition would be 105.7 miles per hour. This figure represents the median, meaning half of the winning slap shots were below this speed and half were above, making it a good indicator of the average top performance. It's like sitting right in the sweet spot of speed that showcases the athletes’ skills! You might be surprised to learn that slap shot speeds can vary greatly depending on the player's technique, strength, and even the stick used. If you're aiming to improve your own slap shot, focus on proper wrist movement, body positioning, and follow-through! Small adjustments can lead to impressive speed increases, possibly helping you join the elite ranks of those 100+ mph hitters!

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