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Chapter 7: Q. 13 (page 463)

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot plot below to answer Questions

Based on the shape of this distribution, what numerical measures would best describe it?

(a) The five-number summary

(b) The mean and standard deviation

(c) The mean and the quartiles

(d) The median and the standard deviation

(e) It is not possible to determine which numerical values to use.

Short Answer

Expert verified

Based on the shape of this distribution, the numerical measure that best describes it is option (a) The five-number summary.

Step by step solution

01

Given information

Dot plot of the adult literacy rates in 177countries in 2008,

The lowest literacy rate is23.6%

02

Explanation

When the distribution is symmetric, the mean and standard deviation have the optimal meaning.

Answers that include the mean and standard deviation aren't very informative.

Answers are not (b), (c), (d) or (e)

The five-number summary consists of a minimum 25thpercentile, median,75th percentile, and maximum.

This gives us the best descriptive image of the shape using numerical quantities.

The answer is (a) The five-number summary.

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