Question

04.TR.A: I have several times heard HCC students who take classes at Laurel College Center advise other students, “Buy your gas in Laurel. It’s cheaper.” As of 8 July 2019, prices in Columbia and Laurel for a gallon of gasoline (regular unleaded) are listed. Source: http://www.marylandgasprices.com/

Columbia:   2.51 2.65 2.69 2.69 2.71 2.84 2.85 2.89 2.95 2.99 2.99 2.99

Laurel:     2.55 2.62 2.65 2.67 2.69 2.69 2.72 2.74 2.74 2.75 2.75 2.99

(a) Find the five-number summary separately for both locations.

(b) Perform outlier tests on both locations.

(c) Construct boxplots on the same set of axes and label them with the five-number summary.

(d) Comment on the differences in the center and spread between the two boxplots.

(e) Find the mean and standard deviation for both locations.

(f) For each location, which is the better measure of center and spread?

(g) If you commute from HCC to LCC for classes, where will you buy your gas? Why did you make this choice?

04.TR.B: For the data in Exercise A,

(a) Construct histograms side by side for the two locations

(b) Construct stem and leaf plots for the two locations using the same stem and putting the leaves on opposite sides of the stems.

(c) Discuss relative advantages and disadvantages of a histogram, a stem and leaf plot and a boxplot for comparison of the two locations

Answer 1