A researcher was interested in the number of hours per week that individuals spend exercising. A random sample of 250 individuals had a mode time of 3.51 hours, an average of 1.65 hours and a median of 2.85 hours.

a) Would you describe the shape of the number of hours per week individuals exercise as symmetrical, positively skewed or negatively skewed? Briefly explain your reasoning.

b) Which of the measures of central tendency would you use to describe the typical number of hours individuals spend exercising? Why?

c) If the respondent with the highest exercise time had lied in their survey, and exercised half the amount, how, if at all, will the interquartile range of exercise times, be affected? Briefly explain your reasoning.