FILL IN THE BLANK if a distribution is symmetric, then its mean and median are identical. however, if a distribution has a long, right tail, then its mean is_________ than its median.

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19-12-2022
Mathematics

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FILL IN THE BLANK if a distribution is symmetric, then its mean and median are identical. however, if a distribution has a long, right tail, then its mean is_________ than its median.

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-22T01:12:33-05:00

If the distribution is symmetric, then its mean and median are identical. however, if a distribution has a long, right tail, then it's mean is higher than its median.

If a vertical line can be drawn across the histogram at a place where the shapes to its left and right are mirror copies of one another, the distribution is said to be symmetrical. For these data, the mean, median, and mode are all seven. The mean and median are identical in a distribution that is completely symmetrical. The mode in this case, which is unimodal, is the same as the mean and median. The two modes of a symmetrical distribution with two modes (bimodal) would differ from the mean and median.

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