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Chapter 1: Q. 5`1. (page 48)

Feeling sleepy? Refer to Exercise 45. Describe the shape of the distribution.

Short Answer

Expert verified

Roughly symmetric

Single peak

No gaps

Step by step solution

01

Step 1. Given information

A survey designed by their teacher was completed by students in a high school statistics class.

02

 Step 2.make a number line for each piece of data Put a dot on the number line above the corresponding number.

03

 Step 3. The shape of the distribution.  

The peak in the dotplot is roughly in the middle of the graph, indicating that the distribution is roughly symmetric.

We notice that the distribution has a single peak at 7, and there appear to be no gaps in the dotplot.

Roughly symmetric

Single peak

No gaps

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Most popular questions from this chapter

For which of the following would it be inappropriate to display the data with a single pie chart?

(a) The distribution of car colors for vehicles purchased in the last month

(b) The distribution of unemployment percentages for each of the 50 states

(c) The distribution of favorite sport for a sample of 30 middle school students (d) The distribution of shoe type worn by shoppers at a local mall

(e) The distribution of presidential candidate preferences for voters in a state

Pulse ratesRefer to Exercise 88.

(a) Find the median pulse rate for all 19 students.

(b) Find the median pulse rate excluding the student with the medical issue. Explain why this student’s 120 pulse rate does not have much effect on the median.

Enhancing creativity Do external rewards—things like money, praise, fame, and grades —promote creativity? Researcher Teresa Amabile recruited 47 experienced creative writers who were college students and divided them at random into two groups. The students in one group were given a list of statements about external reasons (E) for writing, such as public recognition, making money, or pleasing their parents. Students in the other group were given a list of statements about internal reasons (I) for writing, such as expressing yourself and enjoying wordplay. Both groups were then instructed to write a poem about laughter. Each student’s poem was rated separately by 12 different poets using a creativity scale. 26 These ratings were averaged to obtain an overall creativity score for each poem. Parallel dotplots of the two groups’ creativity scores are shown here.

Part (a). Is the variability in creativity scores similar or different for the two groups? Justify your answer.

Part (b). Do the data suggest that external rewards promote creativity? Justify your answer.

Skyscrapers Here is some information about the tallest buildings in the world as of February 2017. Identify the individuals and variables in this data set. Classify each variable as categorical or quantitative.

I’d die without my phone! In a survey of over 2000 U.S. teenagers by Harris Interactive, 47% said that “their social life would end or be worsened without their cell phone.” 46 One survey question asked the teens how important it is for their phone to have certain features. The following figure displays data on the percent who indicated Page Number: 83 Page Number: 84 that a particular feature is vital.

Part (a). Explain how the graph gives a misleading impression.

Part (b). Would it be appropriate to make a pie chart to display these data? Why or why not?
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