Measures of the Spread of the Data · Exercise 30

A survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,414; 1,550; 2,109; 9,350; 21,828; 4,300; 5,944; 5,722; 2,825; 2,044; 5,481; 5,200; 5,853; 2,750; 10,012; 6,357; 27,000; 9,414; 7,681; 3,200; 17,500; 9,200; 7,380; 18,314; 6,557; 13,713; 17,768; 7,493; 2,771; 2,861; 1,263; 7,285; 28,165; 5,080; 11,622

(a) Organize the data into a chart with five intervals of equal width. Label the two columns Enrollment and Frequency.
(b) Construct a histogram of the data.
(c) If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
(d) Calculate the sample mean.
(e) Calculate the sample standard deviation.
(f) A school with an enrollment of 8,000 would be how many standard deviations away from the mean?

OpenStax, Statistics · §2.7 Measures of the Spread of the Data · Exercise 30