Statistics Math 125 - Module 1 Homework 2.1
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.
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.
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.
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?
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.