Question 1

Number of innings in the baseball games a major league team plays over the course of a season.

Accepted Answer

A) The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings; and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left. 
B) The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings; and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right. 
C) The distribution would likely be unimodal and skewed right.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right. 
D) The distribution would likely be unimodal and skewed left.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left. 
E) The distribution would likely be uniform.Some games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short.The number of innings in the games would be evenly distributed. 
A) The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings; and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left. 
B) The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings; and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right. 
C) The distribution would likely be unimodal and skewed right.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right. 
D) The distribution would likely be unimodal and skewed left.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left. 
E) The distribution would likely be uniform.Some games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short.The number of innings in the games would be evenly distributed.

Question 2

Shown below are the histogram and summary statistics for the weekly salaries (in dollars)of 24 randomly selected employees of a company:   $$\begin{array} { c | c | c | c | c | c | c | c } 
\text { Count } & \text { Mean } & \text { Median } & \text { StdDev } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \
\hline 24 & 978.8 & 705 & 765.7 & 310 & 3700 & 510 & 1225
\end{array}$$ Choose the boxplot that represents the given data.

Accepted Answer

A) I 
B) II 
C) III 
D) IV 
E) V 
A) I 
B) II 
C) III 
D) IV 
E) V

Question 3

Here are the average mathematics achievement scores for ninth graders in 34 counties. $$\begin{array} { l } 
592~588~587~586~582~580~561~555~549 \
548~542~540~538~537~534~532~531~527 \
515~512~501~498~493~489~485~470~465 \
462~458~444~435~431~407~376
\end{array}$$

Accepted Answer

A) 376,485,529,555,592 
B) 376,485,531,549,592 
C) 376,470,527,549,592 
D) 376,470,531,549,592 
E) 376,470,529,549,592 
A) 376,485,529,555,592 
B) 376,485,531,549,592 
C) 376,470,527,549,592 
D) 376,470,531,549,592 
E) 376,470,529,549,592

Question 4

Here are some summary statistics for last year's basketball team scoring output: lowest $\text { score } = 23$ points, $\text { mean } = 53$ points, $$\text { median } = 47$$ points, $\text { range } = 92$ points, $\mathrm { IQR } = 51 \text {, }$ $\mathrm { Q } 1 = 32$ standard $\text { deviation } = 5$ points.Between what two values are the middle 50% of scores found?

Accepted Answer

A) 53 and 47 
B) 23 and 115 
C) 13.25 and 3975 
D) 32 and 83 
E) 11.75 and 35.25 
A) 53 and 47 
B) 23 and 115 
C) 13.25 and 3975 
D) 32 and 83 
E) 11.75 and 35.25

Question 5

A substitute teacher traveled the following distances,in kilometres,to arrive at work. 10 15 19 21 27 32 55

Accepted Answer

A) 21 
B) 24 
C) 26 
D) 20 
E) 55 
A) 21 
B) 24 
C) 26 
D) 20 
E) 55

Question 6

Here are the commutes (in kilometres)for a group of six employees.Find the standard deviation. 36.9 17.9 43.1 72.6 22.7 21.4

Accepted Answer

A) 421.6 
B) 214.6 
C) 72.6 
D) 20.5 
E) 98.9 
A) 421.6 
B) 214.6 
C) 72.6 
D) 20.5 
E) 98.9

Question 7

A store manager kept track of the number of newspapers sold each week.The results are shown below. $$\begin{array} { l l l l l l l } 
89 & 30 & 203 & 193 & 261 & 249 & 246
\end{array}$$

Accepted Answer

A) 182 newspapers 
B) 203 newspapers 
C) 261 newspapers 
D) 193 newspapers 
E) 246 newspapers 
A) 182 newspapers 
B) 203 newspapers 
C) 261 newspapers 
D) 193 newspapers 
E) 246 newspapers

Question 8

A new business had the following monthly revenues,in dollars. 6110 2729 1950 8233 8610
3144 1130 7269 4841 5175

Accepted Answer

A) $4919.10 
B) $5008.00 
C) $4841.00 
D) $5465.67 
E) $5175.00 
A) $4919.10 
B) $5008.00 
C) $4841.00 
D) $5465.67 
E) $5175.00

Number of innings in the baseball games a major league team plays over the course of a season.

A substitute teacher traveled the following distances,in kilometres,to arrive at work. 10 15 19 21 27 32 55

Here are the commutes (in kilometres)for a group of six employees.Find the standard deviation. 36.9 17.9 43.1 72.6 22.7 21.4

A store manager kept track of the number of newspapers sold each week.The results are shown below. 89 30 203 193 261 249 246

A new business had the following monthly revenues,in dollars. 6110 2729 1950 8233 8610 3144 1130 7269 4841 5175

Stats Starts Here

Displaying and Describing Categorical Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Understanding Randomness

Sample Surveys

Experiments and Observational Studies

From Randomness to Probability

Probability Rules

Random Variables

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters

Exam 3: Displaying and Summarizing Quantitative Data

Number of innings in the baseball games a major league team plays over the course of a season.

Shown below are the histogram and summary statistics for the weekly salaries (in dollars)of 24 randomly selected employees of a company: Count Mean Median StdDev Min Max Q1 Q3 24 978.8 705 765.7 310 3700 510 1225 Choose the boxplot that represents the given data.

A substitute teacher traveled the following distances,in kilometres,to arrive at work. 10 15 19 21 27 32 55

Here are the commutes (in kilometres)for a group of six employees.Find the standard deviation. 36.9 17.9 43.1 72.6 22.7 21.4

A store manager kept track of the number of newspapers sold each week.The results are shown below. 89 30 203 193 261 249 246

A new business had the following monthly revenues,in dollars. 6110 2729 1950 8233 8610 3144 1130 7269 4841 5175

Stats Starts Here

Displaying and Describing Categorical Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Understanding Randomness

Sample Surveys

Experiments and Observational Studies

From Randomness to Probability

Probability Rules

Random Variables

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters