QUESTION IMAGE
Question
average yearly precipitation
50 states
the graphs shape is best described as skewed
which of the following statements would you expect to be true?
the mean is greater than the median.
the mean is equal to the median.
the mean is less than the median.
Step1: Recall the relationship between mean, median and skewness
In a skewed - right distribution, the tail is on the right side. The mean is pulled in the direction of the tail. The median is less affected by extreme values.
Step2: Analyze the given histogram
The histogram is skewed - right (since the tail is on the higher precipitation side). For a skewed - right distribution, the mean is greater than the median.
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The mean is greater than the median.