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APS1-1 Displaying Data

Last updated almost 5 years ago

13 questions

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Question 1

1.

The following bar graph gives the percent of owners of three brands of trucks who are satisfied with their truck. From this graph, we may conclude that

Chevrolet owners are substantially more satisfied than Ford or Toyota owners.

Chevrolet probably sells more trucks than Ford or Toyota.

there is very little difference in the satisfaction of owners for the three brands.

a pie chart would have been a better choice for displaying these data.

owners of other brands of trucks are less satisfied than the owners of these three brands.

Question 2

2.

I stole this question from someone else's practice test. Their answer on #1 was that "a pie chart would have been a better choice for displaying these data." Explain why that is not correct.

Question 3

3.

Why is the bar chart in #1 misleading?

Question 4

4.

The population of the United States is aging, though less rapidly than in other developed countries. Below is a stemplot of the percents of residents aged 65 and older in each of the 50 states, according to the 2000 census. There are two outliers: Alaska has the lowest percent of older residents, and Florida has the highest. What is the percent for Florida?

13.8%

57%

176%

17.6%

5.7%

Question 5

5.

The population of the United States is aging, though less rapidly than in other developed countries. Below is a stemplot of the percents of residents aged 65 and older in each of the 50 states, according to the 2000 census. Show how you would determine the median, lower and upper quartiles, and IQR, and describe how you would check the data for outliers. (you may need to zoom in)

Question 6

6.

The Interquartile range for the distribution of 50 states in the previous question is:

117% to 135%

11.7% to 13.5% 

2.7% 

1.8%

18%

Question 7

7.

For the histogram below, what is the proper ordering of the mean and median? Note that the graph is NOT numerically precise—only the relative positions are important.

I is the mean and II is the median.

II is the median and III is the mean.

I is the median and II is the mean. 

I is the mean and III is the median.

II is the mean and III is the median.

Question 8

8.

If a distribution is skewed to the right, which of the following is true?

The mean is either equal to or less than the median,

The mean and median must be equal.

The mean must be greater than the median.

It’s impossible to tell which of the above statements is true without seeing the data.

The mean must be less than the median.

Question 9

9.

If you are given only summary statistics (mean, sd, median, quartiles, minimum, and maximum), describe how you know if data is skewed or symmetric.

Question 10

10.

Describe the histogram below. Remember to address shape, center, and spread.

Question 11

11.

How can you tell the difference between a histogram and a bar chart? What are the important differences?

Question 12

12.

What are the differences and similarities between a stemplot and a histogram?

Question 13

13.

Are there any questions that came up that you would like me to go over in class?