When the mean and median are equal, what can be said about the shape of the dist

Question

When the mean and median are equal, what can be said about the shape of the distribution? More information should be presented if assumptions pertaining to the shape of the distribution are to be made. When the mean is equal to the median, the shape of the distribution tends to be slightly skewed right. When the mean is equal to the median, the shape of the distribution tends to be slightly skewed left. When the mean is equal to the median, the shape of the distribution can be assumed relatively symmetrical Which of the following is not included in the five-point summary? 1st Quartile Median 3rd Quartile Mode

Explanation / Answer

3. Symmetric shapes are characterised by the relation:

Mean = Median

Hence, Answer:

When the mean is equal to the median, the shape of the distribution is relatively symmetrical.

4. 5 point summary includes: 1st quartile, Median, 3rd quartile and minimum and maximum values.

Hence, Mode is not included in this summary.

Answer: Mode

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