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Chapter 1: Q. 67. (page 50)

Carbon dioxide emissions Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2 ), which contributes to global warming. The table displays CO2 emissions per person from countries with populations of at least 20 million. 30

Part (a). Make a histogram of the data using intervals of width 2, starting at 0.

Part (b). Describe the shape of the distribution. Which countries appear to be outliers

Short Answer

Expert verified

Part (a)

Part (b)

Right skewed

No outlier

Step by step solution

01

Part (a) Step 1. Given information. 

The table displays CO2 emissions per person from countries with populations of at least 20 million. 30

02

Part (a) Step 2 A histogram of the data using intervals of width 2, starting at 0.  

Table of frequencies

First, we'll calculate the frequency of each interval, which is the number of data values that fall within each interval. The first interval begins at zero and has a width of two, so it is 0<2The intervals after that will be 2<4,4<6and so on until all data values are assigned to exactly one interval.

The frequency is then defined as the number of data values that belong to the class.

IntervalFrequency
0<217
2<49
4<65
6<87
8<104
10<121
12<141
14<161
16<183

Histogram of Frequency

The width of each bar must be the same, and the bars must be bounded by interval boundaries, with the height equal to the frequency.

03

Part (b) Step 1. The shape of the distribution. Which countries appear to be outliers  

The distribution is skewed to the right because the highest bar in the histogram is to the left, with a tail of smaller bars to the right.

Because there are no gaps in the histogram, the distribution does not appear to contain outliers.

As a result:

Right skewed

No outlier

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