Question

The mean, median and mode are typically the same when a sample exhibits significant dispersion.

Answer 1

The answer would be false

Answer 2

Answer with explanation:

Dispersion:

→Mean ,Median and Mode are all measures of central tendency. These three helps to determine how a Data set behaves with the help of a single number.

→Measures of dispersion is accurately described  by any of Inter-quartile range(IQR),Variance , Standard Deviation or MAD(Mean Absolute Deviation). Dispersion describes how a data set is distributed with the help of  any one of the three measure of central tendency which is Mean, Median or Mode.Data set can be Horizontally Dispersed or Vertically dispersed.

⇒So, In the case of Dispersion , the mean, median and mode are typically the same when a sample exhibits significant dispersion is:

→False Statement

→Any of the two can be equal but not all three.