Which of the following describes the probability distribution below? a.) the mean is greater than the median, and the majority of the data points are to the left of the mean. b.) the mean is greater than the median, and the majority of the data points are to the right of the mean. c.) the median is greater than the mean, and the majority of the data points are to the left of the mean. d.) the median is greater than the mean, and the majority of the data points are to the right of the mean.

A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.

if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean

If we draw a normal distribution bell curve as shown in the attachment, we can see that the bell curve is skewed to the right . This means it has a right tail. This means few points are to the right of the mean. In other words, we can say that majority of the data points are to the left of the mean

Since the majority of the data points are to the left, the median will also be to the left of the mean which indicates median is lesser than mean . In other words, mean is greater than median

So, answer is: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

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