6.16 A dataset represents the distances (in feet) of homerun balls in major league baseball games. The mean is 403 feet, the median is 391 feet, and the mode is 386 Which term BEST describes the shape of this distribution? left-skewed distribution normal distribution night-sikewed distribution abnormal distribution
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
Bonus Knowledge
Given that the mean (403 feet) is greater than the median (391 feet), while the mode (386 feet) is even lower, this indicates that there are a few extremely long home runs pulling the mean upward. Therefore, the distribution is likely left-skewed, where the tail on the left side (shorter distances) is longer or fatter than the right side. In left-skewed distributions, most of the data points cluster towards the higher end, with fewer outliers bringing the mean down. This scenario often reflects real-world occurrences, like how baseball players may hit many home runs relatively close to a typical distance but occasionally launch one well beyond average, leading to skewed data.