Question

If the mean and median pertaining to the certain characteristics of a population are of the same value, the following is most likely to occur?
(a) A bimodal distribution
(b) A T- shaped curved
(c) A skewed curve
(d) A normal distribution

Answer 1

Hint: A mixture of two normal densities is often used as a model. The mixture of the distribution is used as a model to analyze. Its distributions come in all shapes and sizes, but they all have the same thing in common; each graph has two distinctive maxima with a relative minimum between.

Complete answer:
During statistics, a bimodal distribution is a persistent likelihood distribution with two unique modes. These show up as particular peaks in the probability density functions. On the off chance that the distribution is symmetric, at that point the mean is equivalent to the median and the distribution will have zero skewness. Since bimodal distribution and normal distribution are symmetric both mean and mode fall in the middle however it has two modes.

Additional Information: Bimodal distributions have an extremely huge extent of their perceptions a large distance from the middle of the distribution, considerably more so than the flat distributions often used to illustrate high estimations of kurtosis, and have more negative estimations of kurtosis. While positive or negative estimations of the kurtosis measurement may demonstrate the bearing of nonnormality, they must be officially tried to check whether the contrast between the watched kurtosis and that normal in the ordinary bend is factually noteworthy.
So the correct answer is ‘A bimodal distribution and normal distribution also’.

Note: A case of such a distribution can be found in the shell states of earthbound gastropods, which display a bimodal distribution whereby animal types have either a tall shell or a level shell. The bimodal distribution identifies with the ideal shape for shell balance on the substrates.