Solve the following problem by doing hand calculations. Please do not use Excel or any other computer software. The following data represents the overall miles per gallon (MPG) of mid-sized sedans.
27 31 36 28 34 27 29 32 32 24
a. Compute the mean, median, first quartile, and third quartile.
b. Compute the variance, standard deviation, range, interquartile range, coefficient of variation, and Z scores. Variance = (27-30)2 + (27-30)2 + (29-30)2 +..(36-30)2 / 10 = 109.09/10 = 10.9090
c. Are the data skewed? If so, how?
d. Based on the results of (a) through (c), what conclusions can you reach concerning the miles per gallon of mid-sized sedans?