Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Question
Chapter 2.1, Problem 25E
a.
To determine
Construct a frequency bar graph.
a.
Expert Solution
Answer to Problem 25E
Output obtained from MINITAB software for the gender and age group is:
Explanation of Solution
Calculation:
The given information is a table representing the numbers of people in various gender and age categories who used a video game console.
Software procedure:
- Step by step procedure to draw the bar chart for gender and age group using MINITAB software.
- Choose Graph > Bar Chart.
- From Bars represent, choose unique values from table.
- Choose Simple.
- Click OK.
- In Graph variables, enter the column of Frequency.
- In Categorical variables, enter the column of Gender and Age Group.
- Click OK
Observation:
From the bar graph, it can be seen that Males 18-34 has the highest frequency.
b.
To determine
Construct a relative frequency distribution for the data.
b.
Expert Solution
Answer to Problem 25E
The relative frequency distribution for the data is:
| Gender and Age Group | Relative Frequency |
| Males 2-11 | 0.139 |
| Females 2-11 | 0.108 |
| Males 12-17 | 0.102 |
| Females 12-17 | 0.066 |
| Males 18-34 | 0.172 |
| Females 18-34 | 0.124 |
| Males 35-49 | 0.111 |
| Females 35-49 | 0.099 |
| Males 50+ | 0.037 |
| Females 50+ | 0.042 |
Explanation of Solution
Calculation:
Relative frequency:
The general formula for the relative frequency is,
Therefore,
Similarly, the relative frequencies for the gender and age group are obtained below:
| Gender and Age Group | Frequency | Relative Frequency |
| Males 2-11 | 13 | |
| Females 2-11 | 10.1 | |
| Males 12-17 | 9.6 | |
| Females 12-17 | 6.2 | |
| Males 18-34 | 16.1 | |
| Females 18-34 | 11.6 | |
| Males 35-49 | 10.4 | |
| Females 35-49 | 9.3 | |
| Males 50+ | 3.5 | |
| Females 50+ | 3.9 | |
| Total | 93.7 |
c.
To determine
Construct a relative frequency bar graph for these data.
c.
Expert Solution
Answer to Problem 25E
Output obtained from MINITAB software for the gender and age group is:
Explanation of Solution
Software procedure:
- Step by step procedure to draw the Bar chart for gender and age group using MINITAB software.
- Choose Graph > Bar Chart.
- From Bars represent, choose unique values from table.
- Choose Simple.
- Click OK.
- In Graph variables, enter the column of Relative Frequency.
- In Categorical variables, enter the column of Gender and Age Group.
- Click OK
Observation:
From the graph, it can be seen that most probable people in the various gender and age categories who used a video game console is Male 18-34 and the least probable people in the various gender and age categories who used a video game console is Male 50+.
d.
To determine
Construct a pie chart.
d.
Expert Solution
Answer to Problem 25E
Output obtained from MINITAB software for gender and age group is:
Explanation of Solution
Calculation:
Software procedure:
- Step by step procedure to draw the bar chart for gender and age group using MINITAB software.
- Choose Graph > Pie Chart.
- Choose Chart values from table.
- Under categorical variable, select Gender and Age Group.
- Under Summary variables, select Relative Frequency.
- Click OK.
Observation:
There is about 17.2% of the people in Male 18-34 and the 3.7% of the people in Male 50+.
e.
To determine
Identify whether the statement “More than half of video gamers are male” is true or false.
e.
Expert Solution
Answer to Problem 25E
The statement “More than half of video gamers are male” is true.
Explanation of Solution
From the pie chart, it can be seen that the percentage of male video gamers are
Hence, the statement “More than half of video gamers are male” is true.
Statistics Concept Introduction
Pie Chart:
It is a circle that divided into sectors one for each category.
g.
To determine
Identify whether the statement “More than 40% of video gamers are female” is true or false.
g.
Expert Solution
Answer to Problem 25E
The statement “More than 40% of video gamers are female” is true.
Explanation of Solution
From the pie chart, it can be seen that the and the percentage of female video gamers are
Hence, the statement “More than 40% of video gamers are female” is true.
Statistics Concept Introduction
Pie Chart:
It is a circle that divided into sectors one for each category.
h.
To determine
Find the proportion of video gamers who are 35 or over.
h.
Expert Solution
Answer to Problem 25E
The proportion of video gamers is 35 or over is 0.289.
Explanation of Solution
From the pie chart, it can be seen that the proportion of video gamers that are 35 or over aged are
Hence, the proportion of video gamers is 35 or over is 0.289.
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Chapter 2 Solutions
Essential Statistics
Ch. 2.1 - 1. The following table lists the types of aircraft...Ch. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5ECh. 2.1 - In Exercises 5–8, fill in each blank with the...Ch. 2.1 - Prob. 7ECh. 2.1 -
In Exercises 5–8, fill in each blank with the...Ch. 2.1 - Prob. 9ECh. 2.1 - In Exercises 9–12, determine whether the statement...
Ch. 2.1 - Prob. 11ECh. 2.1 -
In Exercises 9–12, determine whether the...Ch. 2.1 - Prob. 13ECh. 2.1 - 14. The most common blood typing system divides...Ch. 2.1 - 15. Following is a pie chart that presents the...Ch. 2.1 - 16. Student expenses: The following pie chart...Ch. 2.1 - 17. Food sources: The following side-by-side bar...Ch. 2.1 -
18. Super Bowl: The following side-by-side bar...Ch. 2.1 - Prob. 19ECh. 2.1 - 20. Popular video games: The following frequency...Ch. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - 26. How secure is your job? In a survey, employed...Ch. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - 30. Bought a new car lately? The following table...Ch. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.2 - Using the data in Table 2.7, construct a frequency...Ch. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5ECh. 2.2 -
In Exercises 5-8, fill in each blank with the...Ch. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - In Exercises 9-12, determine whether the statement...Ch. 2.2 - Prob. 13ECh. 2.2 - In Exercises 13–16, classify the histogram as...Ch. 2.2 - Prob. 15ECh. 2.2 - In Exercises 13–16, classify the histogram as...Ch. 2.2 - In Exercises 17 and 18, classify the histogram as...Ch. 2.2 - In Exercises 17 and 18, classify the histogram as...Ch. 2.2 - Prob. 19ECh. 2.2 - 20. Trained rats: Forty rats were trained to run a...Ch. 2.2 - 21. Interpret histogram: The following histogram...Ch. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Skewed which way? For which of the following data...Ch. 2.2 - Prob. 25ECh. 2.2 - 26. Batting average: The following frequency...Ch. 2.2 - Prob. 27ECh. 2.2 - 28. Murder, she wrote: The following frequency...Ch. 2.2 - BMW prices: The following table presents the...Ch. 2.2 - Geysers: The geyser Old Faithful in Yellowstone...Ch. 2.2 - Prob. 31ECh. 2.2 - Internet radio: The following table presents the...Ch. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - 37. Silver ore: The following histogram presents...Ch. 2.2 - Classes of differing widths: Consider the...Ch. 2.3 - Weights of college students: The following table...Ch. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - In Exercises 3–6, fill in each blank with the...Ch. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - 14. List the data in the following stem-and-leaf...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - BMW prices: The following table presents the...Ch. 2.3 - How’s the weather? The following table presents...Ch. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Tennis and golf: Following are the ages of the...Ch. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - 24. Safety first: Following are the numbers of...Ch. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - 30. Going for gold: The following time-series plot...Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - 34. Arctic ice sheet: The following table presents...Ch. 2.3 - Prob. 35ECh. 2.4 - The population of country A is twice as large as...Ch. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - College degrees: Both of the following time-series...Ch. 2.4 - Food expenditures: Both of the following...Ch. 2.4 - Prob. 15ECh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - 6. True or false: A histogram can have more than...Ch. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 1WAICh. 2 - Prob. 2WAICh. 2 - Prob. 3WAICh. 2 - Prob. 4WAICh. 2 - Prob. 1CSCh. 2 - Prob. 2CSCh. 2 - In the chapter introduction, we presented gas...Ch. 2 - Prob. 4CSCh. 2 - Prob. 5CSCh. 2 - Prob. 6CSCh. 2 - Prob. 7CSCh. 2 - Prob. 8CSCh. 2 - Prob. 9CS
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