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Chapter 1: Q. 55. (page 48)

Making money The parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Compare the distributions of total family incomes in these two samples..

Short Answer

Expert verified

Indiana's distribution is roughly symmetric, whereas New Jersey's distribution is skewed to the right.

The Indiana distribution has a potential outlier at 125 thousand dollars, whereas the New Jersey distribution appears to be devoid of outliers.

The median distribution in Indiana appears to be slightly higher than the median distribution in New Jersey.

The variation in the New Jersey distribution exceeds that in the Indiana distribution.

Step by step solution

01

Step 1. Given information. 

The parallel dotplots show the total family income individuals from Indiana (38 individuals) and New Jersey (44 individuals).

02

 Step 2.The distributions of total family incomes in these two samples.. 

State of Indiana :

We can see that the distribution is roughly symmetric because the dotplot's peak(s) are roughly in the middle of the dtoplots.

We can see that the distribution's peak is between $25,000 and $75,000, and there is also a gap between $100,000 and $125,000, with a potential outlier at $125,000.

The median total family income appears to be $45,000, as this is roughly the middle value of the distribution's peak.

The total family income in Indiana ranges from 0 to 125 thousand dollars.

State of New Jersey:

We can see that the distribution is skewed to the right because the peak in the dotplot is to the left, with a tail of fewer dots to the right.

We can see that the single peak of the distribution is between $25,000 and $50,000, and there are a few gaps in the distribution (80-90, 100, 125-130, 155-160).

The median total family income appears to be $37.5 thousand, as this is roughly the middle value of the distribution's peak.

The total family income in New Jersey ranges from $5,000 to 165,500 dollars.

Comparison:

Indiana's distribution is roughly symmetric, whereas New Jersey's distribution is skewed to the right.

The Indiana distribution has a potential outlier at 125 thousand dollars, whereas the New Jersey distribution appears to be devoid of outliers.

The median distribution in Indiana appears to be slightly higher than the median distribution in New Jersey.

Because the spread of the dots in the dotplots is greater in the New Jersey distribution, the variation is greater than in the Indiana distribution.

As a results:

Indiana's distribution is roughly symmetric, whereas New Jersey's distribution is skewed to the right.

The Indiana distribution has a potential outlier at 125 thousand dollars, whereas the New Jersey distribution appears to be devoid of outliers.

The median distribution in Indiana appears to be slightly higher than the median distribution in New Jersey.

The variation in the New Jersey distribution exceeds that in the Indiana distribution.

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