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1) Boxplots are NOT recommended for use with which of the following types of? di

ID: 3119994 • Letter: 1

Question

1)

Boxplots are NOT recommended for use with which of the following types of? distributions?

Choose the correct answer below.

Symmetric

Unimodal

Skewed

Bimodal or any multimodal distribution

2)

Which distribution shape? (skewed left, skewed? right, or? symmetric) is most likely to result in the mean being substantially smaller than the? median?

Choose the correct answer below.

A distribution that is skewed left will likely have a mean that is smaller than the median since the extreme values in the tail tend to pull the mean to the left.

B.A symmetric distribution will likely have a mean that is smaller than the median since the median is more resistant to extreme values than the mean.

C.A distribution that is skewed right will likely have a mean that is smaller than the median since the extreme values in the tail tend to pull the mean to the right.

D.There is no way to predict the relationship between the mean and median based on the shape of the distribution.

Explanation / Answer

Generally

incase of boxplots

they are not used for bimodal or any multimodal distributions

and coming the the skewed left and skewed right

when we have those then the extremes values at the end to say tail will affect the mean and they will be pulled in the direction of tail.

here we are asked where mean is substantially smaller than mean

hence it has to be skewed left as the extreme values in tail tend to pull it left

hence

1.D

2.A