In Exercises 89 and 90, we bring together all the measures of spread we have learned in the chapter and the new ones we learned in the exercises.

Question 3.203

90. Energy Consumption Data. You calculated the range and variance for this data in Exercise 76. You calculated the coefficient of variation in Exercise 83 and the mean absolute deviation in Exercise 85. Use this information to do the following:

  1. Using the variance, calculate the standard deviation energy consumption for each continent.
  2. Construct a table of the five measures of spread (range, sample variance, sample standard deviation, coefficient of variation, and mean absolute deviation) for each continent.
  3. Do the measures of spread agree on which distribution has the greatest variability?
  4. Bringing together all your statistics about measures of spread, what is your conclusion about the variability in Europe, compared with the other two continents?