Picturing Distributions with Graphs

BPS chapter 1

© 2006 W.H. Freeman and Company

Individuals vs. variablesAirport administrators take a sample of airline baggage and record the

number of bags that weigh more than 75 pounds. What is the individual?

a) Number of bags weighing more than 75 pounds.

b) Average weight of the bags.

c) Each piece of baggage.

d) The airport administrators.

Individuals vs. variables (answer)Airport administrators take a sample of airline baggage and record the

number of bags that weigh more than 75 pounds. What is the individual?

a) Number of bags weighing more than 75 pounds.

b) Average weight of the bags.

c) Each piece of baggage.

d) The airport administrators.

Individuals vs. variablesAirport administrators take a sample of airline baggage and record the

number of bags that weigh more than 75 pounds. What is the variable of interest?

a) Number of bags weighing more than 75 pounds.

b) Average weight of the bags.

c) Each piece of baggage.

d) The airport administrators.

Individuals vs. variables (answer)Airport administrators take a sample of airline baggage and record the

number of bags that weigh more than 75 pounds. What is the variable of interest?

a) Number of bags weighing more than 75 pounds.

b) Average weight of the bags.

c) Each piece of baggage.

d) The airport administrators.

Individuals vs. variablesIn a study of commuting patterns of people in a large metropolitan area,

respondents were asked to report the time they took to travel to their work on a specific day of the week. What is the individual?

a) Travel time.

b) A person.

c) Day of the week.

d) City in which they lived.

Individuals vs. variables (answer)In a study of commuting patterns of people in a large metropolitan area,

respondents were asked to report the time they took to travel to their work on a specific day of the week. What is the individual?

a) Travel time.

b) A person.

c) Day of the week.

d) City in which they lived.

Individuals vs. variablesIn a study of commuting patterns of people in a large metropolitan area,

respondents were asked to report the time they took to travel to their work on a specific day of the week. What is the variable of interest?

a) Travel time.

b) A person.

c) Day of the week.

d) City in which they lived.

Individuals vs. variables (answer)In a study of commuting patterns of people in a large metropolitan area,

respondents were asked to report the time they took to travel to their work on a specific day of the week. What is the variable of interest?

a) Travel time.

b) A person.

c) Day of the week.

d) City in which they lived.

Categorical vs. quantitative variablesWould the variable “monthly rainfall in Michigan” be considered a

categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variables (answer)Would the variable “monthly rainfall in Michigan” be considered a

categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variablesIf we asked people to report their “weight,” would that variable be

considered a categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variables (answer)If we asked people to report their “weight,” would that variable be

considered a categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variablesWe then asked people to classify their weight as underweight, normal,

overweight, or obese. Would this variable now be categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variables (answer)We then asked people to classify their weight as underweight, normal,

overweight, or obese. Would this variable now be categorical or quantitative variable?

a) categorical

b) quantitative

Categorical vs. quantitative variablesWhat type of data is produced by the answer choices for this question?

a) categorical

b) quantitative

How many times have you accessed the Internet this week?

1) None2) Once or twice3) Three or four times4) More than four times

Categorical vs. quantitative variables (answer)What type of data is produced by the answer choices for this question?

a) categorical

b) quantitative

How many times have you accessed the Internet this week?

1) None2) Once or twice3) Three or four times4) More than four times

GraphingFor the Internet access data in the previous question, what is the BEST

method of displaying the data?

a) bar graph

b) boxplot

c) histogram

d) scatterplot

Graphing (answer)For the Internet access data in the previous question, what is the BEST

method of displaying the data?

a) bar graph

b) boxplot

c) histogram

d) scatterplot

StemplotsIn the dataset represented by the following stemplot, how many times

does the number “28” occur? Leaf unit = 1.0.

a) 0

b) 1

c) 3

d) 4

0 9

1 246999

2 111134567888999

3 000112222345666699

4 001445

5 0014

6 7

7 3

Stemplots (answer)In the dataset represented by the following stemplot, how many times

does the number “28” occur? Leaf unit = 1.0.

a) 0

b) 1

c) 3

d) 4

0 9

1 246999

2 111134567888999

3 000112222345666699

4 001445

5 0014

6 7

7 3

HistogramsLook at the following histogram. How many baseball players report a

salary of less than $1,441,000?

a) 50b) 170c) 220d) 350

Histograms (answer)Look at the following histogram. How many baseball players report a

salary of less than $1,441,000?

a) 50b) 170c) 220d) 350

HistogramsLook at the following histogram for salaries of baseball players. What

shape would you say the data take?

a) Bi-modalb) Left-skewedc) Right-skewedd) Symmetrice) Uniform

Histograms (answer)Look at the following histogram for salaries of baseball players. What

shape would you say the data take?

a) Bi-modal

b) Left-skewed

c) Right-skewed

d) Symmetric

e) Uniform

Time plotsWhich of these plots is a time plot?

a) Plot Ab) Plot Bc) bothd) neither

Time plots (answer)Which of these plots is a time plot?

a) Plot Ab) Plot Bc) bothd) neither

Time plotsWhat type of trend does the following time plot show?

a) Downwardb) Upwardc) No trend

Time plots (answer)What type of trend does the following time plot show?

a) Downwardb) Upwardc) No trend

Time plotsWhat would be the correct interpretation of the following graph?

a) There is an upward trend in the data.b) There is no trend in the data.c) There is a downward trend in the data.d) The data show an existence of seasonal variation.

Time plots (answer)What would be the correct interpretation of the following graph?

a) There is an upward trend in the data.b) There is no trend in the data.c) There is a downward trend in the data.d) The data show an existence of seasonal variation.