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Chapter 1: Q 4.4. (page 42)

About 1.6 million first-year students enroll in colleges and universities each year. What do they plan to study? The graph displays data on the percent of first-year students who plan to major in several discipline areas.

Would it be correct to describe this distribution as right-skewed? Why or why not?

Short Answer

Expert verified

The given graph is right skewed.

Step by step solution

01

The given information

The given graph has to be decided to describe this distribution as right-skewed or not.

02

Concept

Quantitative variables can have a wide range of values. When adjacent values are grouped together, a graph of the distribution becomes clearer. A histogram is the most frequent graph for displaying the distribution of a single quantitative variable.

03

Explanation

The majority of the graph data is displayed on the left-hand side of the histogram, but some of the big size values are exhibited on the right-hand side, indicating that the data is skewed to the right. As a result, the graph is right-skewed.

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Most popular questions from this chapter

Forty students took a statistics examination having a maximum of 50 points. The score distribution is given in the following stem-and-leaf plot:


The third quartile of the score distribution is equal to (a) 45. (b) 44. (c) 43. (d) 32. (e) 23.

Baseball paradox Most baseball hitters perform differently against right-handed and left-handed pitching. Consider two players, Joe and Moe, both of whom bat right-handed. The table below records their performance against right-handed and left-handed pitchers:

(a) Use these data to make a two-way table of player (Joe or Moe) versus outcome (hit or no hit).

(b) Show that Simpson’s paradox holds: one player has a higher overall batting average, but the other player hits better against both left-handed and right-handed pitching.

(c) The manager doesn’t believe that one player can hit better against both left-handers and right-handers yet have a lower overall batting average. Explain in

simple language why this happens to Joe and Moe.

Here, once again, is the stem plot of travel times to work for 20randomly selected New Yorkers. Earlier, we found that the median was 22.5minutes.

Based only on the stem plot, would you expect the mean travel time to be less than, about the same as, or larger than the median? Why?

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Here is a two-way table of the responses by gender: Your percent from the previous exercise is part of-

(a) the marginal distribution of gender.

(b) the marginal distribution of opinion about marriage.

(c) the conditional distribution of gender among adolescents with a given opinion.

(d) the conditional distribution of opinion among adolescents of a given gender.

(e) the conditional distribution of “Almost certain” among females.

Basketball playoffs Here are the scores of the games played in the California Division I-AAA high school basketball playoffs

On the same day, the final scores of games in the Division

V-AA were

(a) Construct a back-to-back stem plot to compare the points scored by the 32 teams in the Division I-AAA playoffs and the 24 teams in the Division V-AA

playoffs.

(b) Write a few sentences comparing the two distributions.
See all solutions

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