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 miles 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? Choices: (A)5.3 miles per hour (B)100 miles per hour (C)105.7 miles per hour (D)110 miles per hour

Question

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 miles 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?   Choices: (A)5.3 miles per hour (B)100 miles per hour (C)105.7 miles per hour (D)110 miles per hour

Bytelearn · Accepted Answer

Understand Median and Interquartile Range:  First, let's understand what median and interquartile range mean. The median is the middle value in a list of numbers, and the interquartile range is the range between the 25th percentile and the 75th percentile. This tells us about the typical values in the data set, not the extremes. Median and Interquartile Range Explanation:  Given that the median winning slap shot speed over the past 10 years is 105.7 miles per hour, this represents a typical speed of a winning slap shot. The interquartile range of 5.3 miles per hour indicates that half of the winning speeds fall within 5.3 miles per hour of the median, further emphasizing that 105.7 mph is typical. Analyze Provided Choices:  Now, let's look at the choices provided: (A) 5.3 miles per hour - This is the interquartile range, not a speed. (B) 100 miles per hour - This is below the median, so it's less typical. (C) 105.7 miles per hour - This matches the median speed. (D) 110 miles per hour - This might be possible but is not indicated as typical since it's above the median and not mentioned as a median or average.

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