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Chapter 1: Q 1.2. (page 31)

The Fathom dot plot displays data on the number of siblings reported by each student in a statistics class.

Describe the center of the distribution.

Short Answer

Expert verified

The centre of distribution in this graph is 2.

Step by step solution

01

Given information

02

Concept

Centre: can be described by selecting a value that divides the observations in half, with the bigger half taking greater values and the smaller half taking lower values. The median of the distribution is this value. The median in Figure 1.9 is 3. That means, during the 2004 season, the US women's soccer team averaged roughly 3 goals per game. For instance, we might calculate the average (mean) of the number of goals scored per game to describe the center of the distribution. The team's average during the 2004 season was 3.06 goals.

03

Explanation

The presented figure shows that the distribution is right-skewed, and the median is, implying that each student has two siblings.

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Most popular questions from this chapter

The solutions also deals with the percentages of email spam and the email failing

Hit movies According to the Internet Movie Database, Avatar is tops based on box office sales worldwide. The following table displays data on several popular movies.

(a) What individuals does this data set describe?

(b) Clearly identify each of the variables. Which are quantitative? In what units do you think they are measured?

(c) Describe the individual in the highlighted row.

  • Make a bar graph of the distribution of a categorical variable

or, in general, compare related quantities.

  • Recognize when a pie chart can and cannot be used.

The IQR Is the interquartile range a resistant measure of spread? Give an example of a small data set that supports your answer.

The audience for movies Here are data on the percent of people in several age groups who attended a movie in the past 12months:

(a) Display these data in a bar graph. Describe what you see.

(b) Would it be correct to make a pie chart of these data? Why or why not?

(c) A movie studio wants to know what percent of the total audience for movies is 18to 24years old. Explain why these data do not answer this question.

Age groupMovie attendence
18 to 24 years83%
25 to 34 years73%
35 to 44 years
68%
45 to 54 years
60%
55 to 64 years
47%
65 to 74 years
32%
75 to and over
20%

You record the age, marital status, and earned income of a sample of 1463 women. The number and type of variables you have recorded is

(a) 3 quantitative, 0 categorical

(b) 4 quantitative, 0 categorical

(c) 3 quantitative, 1 categorical

(d) 2 quantitative, 1 categorical

(e) 2 quantitative, 2 categorical
See all solutions

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