Question

13. Several characteristics of 70 residents randomly selected from a small town in Indiana were collected in an attempt to get a more complete picture of the residents of the entire town. The histograms below summarize some of the information collected from these individuals a. Describe the sample Which data set has the smaller standard deviation College Non-College c. Identify the shape of each histogram. College: Non-College d. Is the mean college graduate income larger, smaller, or the same as the median college graduate income? Annual Incomes College Geaduste 10 Incomes in the mands of dollars Annual income of Non-College Graduate 20 15 10 D Income in thousands of

Answer 1

a) These two samples are annual income of College Graduates and Non-college Graduate, selected at random from a small town in Indiana with each sample size of 70. The sample statistics of these data can not be provided because the question does not include the raw data.

b)

I can not read the minimum and maximum class limits of the lowest and highest class intervals of the annual income of College Graduates respectively from the histogram.

The range of annual income of Non-college graduates is 17-7=$10 thousand. Whereas, the College Graduates has more dispersion than the Non-College Graduates. Hence, Non-College Graduates have a smaller standard deviation.

c) College: It has positive skewness.

Non-College: It has symmetric.

d) The annual income of college graduate income has positive skewness. Hence, the mean college graduate income has larger than the median college graduated income.