Chapter 2: 140SE (page 142)
Discuss the conditions under which the median is preferred to the mean as a measure of central tendency.
Short Answer
When there is skewness in the data set.
Chapter 2: 140SE (page 142)
Discuss the conditions under which the median is preferred to the mean as a measure of central tendency.
When there is skewness in the data set.
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Get started for freeUsing only integers between 0 and 10, construct two data sets with at least 10 observations each so that the two sets have the same mean but different variances. Construct dot plots for each of your data sets and mark the mean of each data set on its dot diagram.
Land purchase decision.A buyer for a lumber company must decide whether to buy a piece of land containing 5,000 pine trees. If 1,000 of the trees are at least 40 feet tall, the buyer will purchase the land; otherwise, he won’t. The owner of the land reports that the height of the trees has a mean of 30 feet and a standard deviation of 3 feet. Based on this information, what is the buyer’s decision?
Refer to Exercise 2.141. Assuming all populations are approximately mound-shaped, for parts a–d, determine whether the values 0, 4, and 12 are outliers.
A sample data set has a mean of 57 and a standard deviation of 11. Determine whether each of the following sample measurements are outliers.
a.65
b.21
c.72
d.98
Question: State SAT scores.Refer to Exercise 2.27 (p. 84) and the data on state SAT scores. Construct a scatterplot for the data, with the 2010 Math SAT score on the horizontal axis and the 2014 Math SAT score on the vertical axis. What type of trend do you detect?
State | 2010 Math SAT | 2014 Math SAT |
Alabama | 538 | 550 |
Alaska | 503 | 513 |
Arizona | 527 | 524 |
Arkansa | 571 | 564 |
California | 510 | 516 |
Wisconsin | 608 | 603 |
Wyoming | 599 | 565 |
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