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Chapter 3: Q. 31 (page 153)

Life Expectancy. From The World Bank, in the document Life Expectancy at Birth, we obtained data on the expectation of life (in years) at birth for people in various countries. Those data are presented on the WeissStats site.
a. Obtain the mean, median, and mode(s) of the data. Determine which of these measures of the center is best, and explain your answer
b. Determine the range and sample standard deviation of the data.
c. Fond the five-number summary and interquartile range of the data.
d. Identify potential outliers, if any:
e. Obtain and interpret a boxplot.

Short Answer

Expert verified

Ans:

Part (a).

Part (b).

Part (c).

Part (d).

Part (e).

Step by step solution

01

Step 1. Given information:

Obtained data on the expectation of life (in years) at birth for people in various countries.

02

Step 2. Solving Part (a):

z

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Most popular questions from this chapter

Consider the following sample of exam scores, arranged in increasing order.

The sample mean and sample standard deviation of these exam scores are $85$ and $16.1$ , respectively.
a. Compare the percentage of the observations that actually lie within two standard deviations to either side of the mean with that given by Chebyshev's rule with $k = 2$
b. Repeat part (a) with $k = 3$
c. Interpret your results from parts (a) and (b).

A quantitative data set has mean $30$ and standard deviation $4$ . At least what percentage of the observations lie between $10$ and $50$ $?$

A quantitative data set of size $200$ has mean $20$ and standard deviation $4$ . At least how many observations lie between $8$ and $32$ $?$

Body mass index (BMI) is a measure of body fat based on height and weight. According to the document Dietary Guidelines for Americans published by the U.S. Department of Agriculture and the U.S. Department of Health and Human Services, for adults, a BMI of greater than $25$ indicates an above healthy weight (i.e., overweight or obese). The BMIs of $75$ randomly selected U.S. adults have a mean of $26.0$ and a standard deviation of $5.0$

a. Construct a graph
b. Apply Chebyshev's rule with $k = 2$ to make pertinent statements about the observations in the sample.
c. repeat part (b) with $k = 3$

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is $3, 5, 7$

See all solutions

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