Statistics Math 125 - Module 1 Homework 2.1

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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.

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 70 % of the respondents ​(b) If there are 269 million adults in the​ country, how many believe that the action is morally​ wrong? About 48 million adults. 269 x .18 = 48.42 ​(c) If a polling organization claimed that the results of the survey indicate that 10​% 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 inferential because it makes a prediction.

The following Pareto chart shows the position played by the most valuable player​ (MVP) in a certain baseball league for the last 82 years. Use the chart to answer parts​ (a) through​ (d).

​(a) Which position had the most​ MVPs? The position with the most MVPs was outfield (OF) (b) How many MVPs played catcher ​(Upper C​)? 8 MVPs played catcher. (c) How many more MVPs played outfield​ (OF) than catcher​? more MVPs played outfield than catcher. 24 more MVPs played outfield than catcher. (d) There are three outfield positions​ (left field, center​ field, right​ field). Given​ this, how might the graph be​ misleading?The chart seems to show that one position has many more MVPs because three positions are combined into one. They should be separated.

A survey of adult men and women​ asked, "Which one of the following jobs would you most like to​ have?" The results of the survey are shown in the table. ​(a) Construct a relative frequency distribution for men and women. ​(b) Construct a​ side-by-side relative frequency bar graph. ​(c) What are the apparent differences in gender as it pertains to this​ question?

(a) Complete the table below.

In a relative frequency​ distribution, what should the relative frequencies add up​ to?

(a) The relative frequencies add up to 1. (b) The relative frequencies add up to the total number of observations.

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.

A frequency distribution lists the number of occurrences of each category of data. A relative frequency distribution lists the proportion of occurrences of each category of data.

The pie chart below depicts the beverage size customers choose while at a fast food restaurant. Complete parts ​(a) through ​(c). A pie chart titled "Most popular beverage sizes at a restaurant" contains four sectors, each labeled with a beverage size and a percentage as follows: XL, 21%; Small, 13%; Medium, 60%; Large, 6%. The sectors' relative sizes correspond with the percentage labels. Most popular beverage sizes at a restaurant XL 21% Small 13% Medium 60% Large 6%

​(a) What is the most popular​ size? What percentage of customers choose this​ size?Medium​; 60​% (b) What is the least popular​ size? What percentage of customers choose this​ size?​Large 6​% (c) What percent of customers choose a small​-sized ​beverage?​13%

The data in the accompanying table represent the land area and highest elevation for each of seven states of a country. Complete parts ​(a) and ​(b).

​(a) Would it make sense to draw a pie chart for land​ area?

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

What is a bar​ graph? 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. What is a Pareto​ chart? A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency.


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