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8-91.

The ice cream consumption in several countries is given in the table at right.

1. How many countries are represented?

Count how many countries there are in the list of countries.

2. Display the data in a histogram. Make the bins 4 liters per person wide ($0\text{-}4$, $4\text{-}8$, etc.).

Make a histogram with the $x$-axis scaled by 4s and the
$y$-axis scaled by $1$s. Remember that the $y$-axis will represent the number of countries that have ice-cream consumptions within each bin.

3. Describe the shape of the distribution.

Look for symmetry in the graph. Are there any outliers or unusual looking bars in the histogram?

4. Why is it appropriate to calculate a mean for this data? Calculate the mean.

Use your answer from part (c) to help with your reasoning for using the mean. Was the data roughly symmetric?

$9.7$ liters per person

5. Measure the spread (variability) of the data by finding the mean absolute deviation.

Remember that you can calculate the mean absolute deviation by finding the distance each point is from the mean and averaging those distances.

6. In complete sentences, completely describe the distribution of ice-cream consumption by discussing the center, shape, spread, and outliers.

Use your previous answers to describe the shape, center, spread, and outliers. Is the histogram symmetrical? Are there any countries that are unusual in their ice-cream consumption? Don't forget to mention the variability of the distribution that you found by calculating the mean absolute deviation!

Ice-Cream Consumption
(2007)

Country

Liters per Person

Australia

$18.0$

$8.7$

Chile

$5.6$

China

$1.9$

Denmark

$8.7$

Finland

$14.0$

Ireland

$9.0$

Italy

$9.2$

Japan

$0.01$

Malaysia

$2.0$

New Zealand

$22.5$

Sweden

$11.9$

United Kingdom

$6.0$

United States

$18.3$

Use the eTool below to make a histogram to represent the data.
Click the link at right for the full version of the eTool: