Section 2.1 and 2.3 Homework

1.  A frequency distribution lists the _______ of occurrences of each category of​ data, while a relative frequency distribution lists the ______of occurrences of each category of data.

2.  In a relative frequency​ distribution, what should the relative frequencies add up​ to?  Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice. 

1. The relative frequencies add up to ___
2. The relative frequencies add up to the total number of observations.

3.   What is a bar​ graph? What is a Pareto​ chart?

What is a bar​ graph?

1. A bar graph represents the frequencies of values either from​ left-to-right or​ right-to-left. The different segments of the bar are used to indicate the different frequencies of each category.
2. A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the​ category’s frequency or relative frequency.
3. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category. The segments are proportional to the frequency of its category.

What is a Pareto​ chart?

1. A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency.
2. A Pareto chart is a display of two data sets side by side where the height of each rectangle represents the​ category’s frequency or relative frequency.
3. A Pareto chart is a combination of a pie chart and a bar graph.

4.  The following graph represents the results of a​ survey, in which a random sample of adults in a certain country was asked if a certain action was morally wrong in general. Complete parts​ (a) through​ (c) below.

​(a) What percent of the respondents believe the action is morally​ acceptable?

About  ____ ​% of the respondents ​(Round to the nearest whole number as​ needed.)

​(b) If there are 296million adults in the​ country, how many believe that the action is morally​ wrong?

About ___ million adults ​(Round to the nearest million as​ needed.)

​(c) If a polling organization claimed that the results of the survey indicate that 7​% of adults in the country believe that the action is acceptable in certain​ situations, would you say this statement is descriptive or​ inferential? Why?

The statement is _____ because it ______

5.  In a​ poll, a random sample of 2163 adults​ (aged 18 and​ over) was​ asked, “When you see an ad emphasizing that a product is made in your​ country, are you more likely to buy​ it, less likely to buy​ it, or neither more nor less likely to buy​ it?” The results of the survey are presented in the​ side-by-side graph. Complete parts ​(a) through ​(d) below.

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is ___ .

The proportion of​ 35- to​ 44-year-old respondents is ____.

​(b) What age group has the greatest proportion who are more likely to buy when made in their​ country?

1. 18-34 yrs
2. 45-54 yrs
3. 55+ yrs
4. 35-44 yrs

​(c) Which age group has a majority of respondents who are less likely to buy when made in their​ country?

1. 45-54 yrs
2. 55 + yrs
3. 35-44 yrs
4. 18-34 yrs

​(d) What is the apparent association between age and likelihood to buy when made in their​ country?

1. As age decreases​, likelihood to buy homegrown increases
2. As age increases​, so does likelihood to buy homegrown.
3. There is no apparent association between age and likelihood to buy homegrown.

6. A national survey asked​ people, “How often do you eat out for​ dinner, instead of at​ home?” The frequencies were as follows. Complete parts ​(a) through ​(g).

(a) Construct a relative frequency distribution of the data.

​(b) What percentage of respondents answered​ “Always”? ___ ​% ​(Round to one decimal place as​ needed.)

​(c) What percentage of respondents answered​ “Never” or​ “Rarely”? ____ ​% ​(Round to one decimal place as​ needed.)

​(d) Construct a frequency bar graph. Choose the correct answer below.

(g) Suppose a person claims​ that, ​”2.4 ​% of all people in the nation always eat​ out.” Is this a descriptive or inferential​ statement?

1. inferential
2. descriptive

7   Suppose a survey was conducted in which participants were asked to disclose their favorite night for a particular activity. The results are summarized in the table. Complete parts​ (a) through​ (f) below.

(a) Construct a frequency distribution.

(b) Construct a relative frequency distribution.

c) If you own a business that sells products related to the​ activity, which day would you purchase an advertisement in the local​ newspaper? Are there any days you would avoid purchasing advertising​ space?

The best day to purchase advertising would probably be ____

The worst day to purchase advertising would probably be ____

(d) Construct a frequency bar graph. Choose the correct graph below.

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