Question

Applicants to California community colleges are asked to indicate one of these education goals at the time of​ application: transfer to a​ four-year institution, an AA​ degree, a CTE​ certificate, job​ retraining, or personal enrichment. In a group of 500​ applications, describe a bar graph of these data that would have the least amount of variability. Also describe a bar graph that would have the most variability.

In a group of 500​ applications, describe a bar graph of these data that would have the least amount of variability. Choose the correct answer below.

A.

A bar graph with the least variability would be one where at least one of the options has no applications.

B.

A bar graph with the least variability would be one where each of the choices had a different number of applicants.

C.

A bar graph with the least variability would be one in which the applicants were equally divided among the five choices.

D.

A bar graph with the least variability would be one where most of the applicants had the same education​ goal, for example to transfer.

Describe a bar graph that would have the most variability. Choose the correct answer below.

A.

A bar graph with the most variability would be one in which the applicants were equally divided among the five choices.

B.

A bar graph with the most variability would be one where at least one of the options has no applications.

C.

A bar graph with the most variability would be one where each of the choices had a different number of applicants.

D.

A bar graph with the most variability would be one where most of the applicants had the same education​ goal, for example to transfer.

Answer 1

Variability means how different each of the values in the dataset are. The more they vary the higher would be the variability. Here we are checking whether each institution has the same no. of applications or not.

Applicants to California community colleges are asked to indicate one of these education goals at the time of​ application: transfer to a​ four-year institution, an AA​ degree, a CTE​certificate, job​ retraining, or personal enrichment. In a group of 500​ applications, describe a bar graph of these data that would have the least amount of variability. Also describe a bar graph that would have the most variability.

In a group of 500​ applications, describe a bar graph of these data that would have the least amount of variability. Choose the correct answer below.

A.

A bar graph with the least variability would be one where at least one of the options has no applications.

If one has a lot of applications with the others with, there still be variability as compared to being equally divided.

B

A bar graph with the least variability would be one where each of the choices had a different number of applicants.

C.

A bar graph with the least variability would be one in which the applicants were equally divided among the five choices.

If all are equal that means there is no difference between the values hence no variability.

D.

A bar graph with the least variability would be one where most of the applicants had the same education​ goal, for example to transfer.

This would have the most variability since, since each one would be at an highly equidistant from the mean which we will entirely be concentrated on one

Describe a bar graph that would have the most variability. Choose the correct answer below.

A.

A bar graph with the most variability would be one in which the applicants were equally divided among the five choices.

B.

A bar graph with the most variability would be one where at least one of the options has no applications.

Will be highly variable not as much as if there were many concentrated on one choice.

C.

A bar graph with the most variability would be one where each of the choices had a different number of applicants.

Subjective if the different numbers are close to each other then again the variability will be reduced.

D.

A bar graph with the most variability would be one where most of the applicants had the same education​ goal, for example to transfer.