QUESTION ONE A. Develop a histogram for the frequency distribution below, the commuting distance for 50 employees of a particular company. [3 Marks] Commuting Miles Frequency 0-under 4 3 4-under 8 10 8-under 12 12-under 16 16 16-under 20 6 20-under 25 Total 50 B. A statistics professor administered an exam to three different classes. The 8:00 class had 20 students and an average score of 82.4. The 9:00 class had 24 students and an average of 78.0. The 20 students in the 10:00 class had an average of 87.3. Calculate the overall average for all three classes combined. [4 Marks] C. The following table summarizes the grade point averages (GPAs ) of graduate students in a statistics class. Approximate the mean GPA of the class. [5 Marks] GPA Frequency 3.0-under 3.2 5 3.2-under 3.4 9 3.4-under 3.6 6 3.6-under 3.8 16 3.8-4.0 2D. The following table lists the number of days that 15 houses in a particular area were on the market waiting to be sold. Calculate the IQR to determine whether the data set contains any outliers. [6 Marks] Page 2 of 4 Sorted days on the market per house 9 10 21 36 37 40 48 50 53 59 84 75 94 115 E. The following data set shows the frequencies of the grouped scores for the 2008 Masters Golf competition. Final Score Frequency 280--283 2 284--287 8 288--291 14 292-295 5 296-299 5 300-303 2 Calculate the sample variance and standard deviation for the golf scores during the competition. [7 Marks]