Asked by Andrea Noriega on Jun 13, 2024
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The free throw percentages for the participants in a basketball tournament were compiled.The percents ranged from 33% to 99% with a mean of 56% and a standard deviation of 7%.The quartiles and median percentages were 43%,87%,and 56%.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.
A) Skewed to the left; mean higher than median.
B) Skewed to the right; mean higher than median.
C) Skewed to the left; mean lower than median.
D) Skewed to the right; mean lower than median.
E) Symmetric; mean same as median.
Standard Deviation
A metric that gauges the spread or deviation of a dataset in relation to its average, showing the extent to which the data points are scattered.
Mean
The average of a set of numbers, calculated by dividing the sum of all the values by the number of values.
Median
The middle value in a sorted list of numbers, which divides the data set into two halves.
- Recognize and comment on the blueprints of data distributions, such as symmetric, tilted left, and tilted right.
- Scrutinize the correlation between mean and median in determining distributional skewness.
Verified Answer
Learning Objectives
- Recognize and comment on the blueprints of data distributions, such as symmetric, tilted left, and tilted right.
- Scrutinize the correlation between mean and median in determining distributional skewness.
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