Question

The shape of a distribution is a rough guide to whether the mean and standard deviation are a helpful summary of center and variability. Review each of the distributions and determine whether the measures ¯x and s would be useful.

Answer 1

Part a)

\small \bar x and s would not be helpful in light of the fact that the diagram isn't even around the two pinnacles.

For percent of secondary school graduates in the states taking the SAT appropriation, \small \bar x and s are not valuable.

As should be obvious from the histogram that the information isn't symmetric and mean and standard deviation are helpful when information is symmetric and regularly disseminated. In this way, right now and standard deviation are not useful rundown of focus and variety.

Part b)

\small \bar x and s are valuable depictions of the middle and spread for an appropriation.

For Iowa test score, \small \bar x and s are valuable.

As should be obvious from the histogram that the information is symmetric and regularly dispersed. Along these lines, right now and standard deviation are useful synopsis of focus and variety.

Part c)

\small \bar x and s are not helpful measures in light of the fact that the dissemination is unequivocally right-slanted.

For New York Times travel, \small \bar x and s are not valuable.

The information is shown as box plot. Furthermore, to show focus and fluctuation in box plot middle is utilized.