Picturing Distributions with Graphs BPS chapter 1 2010

Individuals vs. variables 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) b) c) d) Number of bags weighing more than 75 pounds. Average weight of the bags. Each piece of baggage. 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) b) c) d) Number of bags weighing more than 75 pounds. Average weight of the bags. Each piece of baggage. The airport administrators.

Individuals vs. variables 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) b) c) d) Whether the baggage weighs greater than 75 pounds (Yes or No). Average weight of the bags. Each piece of baggage. 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) b) c) d) Whether the baggage weighs greater than 75 pounds (Yes or No). Average weight of the bags. Each piece of baggage. The airport administrators.

Individuals vs. variables 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) b) c) d) Travel time. A person. Day of the week. 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) b) c) d) Travel time. A person. Day of the week. City in which they lived.

Individuals vs. variables 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) b) c) d) Travel time. A person. Day of the week. 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) b) c) d) Travel time. A person. Day of the week. City in which they lived.

Categorical vs. quantitative variables Would the variable “monthly rainfall in Michigan” be considered a categorical or quantitative variable? a) b) categorical quantitative

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

Categorical vs. quantitative variables If we asked people to report their “weight, ” would that variable be considered a categorical or quantitative variable? a) b) categorical 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) b) categorical quantitative

Categorical vs. quantitative variables We then asked people to classify their weight as underweight, normal, overweight, or obese. Would this variable now be categorical or quantitative variable? a) b) categorical 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) b) categorical quantitative

Categorical vs. quantitative variables What type of data is produced by the answer choices for this question? How many times have you accessed the Internet this week? 1) 2) 3) 4) a) b) categorical quantitative None Once or twice Three or four times More than four times

Categorical vs. quantitative variables (answer) What type of data is produced by the answer choices for this question? How many times have you accessed the Internet this week? 1) 2) 3) 4) a) b) categorical quantitative None Once or twice Three or four times More than four times

Graphing For the Internet access data in the previous question, what is the BEST method of displaying the data? a) b) c) d) bar graph boxplot histogram scatterplot

Graphing (answer) For the Internet access data in the previous question, what is the BEST method of displaying the data? a) b) c) d) bar graph boxplot histogram scatterplot

Stemplots In the dataset represented by the following stemplot, how many times does the number “ 28” occur? Leaf unit = 1. 0. 0 9 1 246999 2 111134567888999 3 000112222345666699 a) b) c) d) 0 1 3 4 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. 0 9 1 246999 2 111134567888999 3 000112222345666699 a) b) c) d) 0 1 3 4 4 001445 5 0014 6 7 7 3

Histograms Look at the following histogram. How many baseball players report a salary of less than $1, 441, 000? a) b) c) d) 50 170 220 350

Histograms (answer) Look at the following histogram. How many baseball players report a salary of less than $1, 441, 000? a) b) c) d) 50 170 220 350

Histograms Look at the following histogram for salaries of baseball players. What shape would you say the data take? a) b) c) d) e) Bi-modal Left-skewed Right-skewed Symmetric Uniform

Histograms (answer) Look at the following histogram for salaries of baseball players. What shape would you say the data take? a) b) c) d) e) Bi-modal Left-skewed Right-skewed Symmetric Uniform

Time plots Which of these plots is a time plot? a) b) c) d) Plot A Plot B both neither

Time plots (answer) Which of these plots is a time plot? a) b) c) d) Plot A Plot B both neither

Time plots What type of trend does the following time plot show? a) b) c) Downward Upward No trend

Time plots (answer) What type of trend does the following time plot show? a) b) c) Downward Upward No trend

Time plots What would be the correct interpretation of the following graph? a) b) c) d) There is an upward trend in the data. There is no trend in the data. There is a downward trend in the data. The data show an existence of seasonal variation.

Time plots (answer) What would be the correct interpretation of the following graph? a) b) c) d) There is an upward trend in the data. There is no trend in the data. There is a downward trend in the data. The data show an existence of seasonal variation.