Question 1

During student-teacher negotiations at a certain high school,teachers seek to change the number of times students are allowed to be tardy,saying that the semester "average" is 8 days of tardiness per student.The students counter that the "average" student is only tardy 4 times per semester.Explain how both sides may be correct,identifying the measure of centre you think each side is using and why the difference might exist.

Accepted Answer

The answer of During student-teacher negotiations at a certain high...

Question 2

Here are the weights,in grams,of several snack crackers.

Accepted Answer

A) 25.23 
B) 22.40 
C) 27.22 
D) 34.59 
E) 13.32

Question 3

The histogram shows the cost of living,in dollars,in 32 Canadian towns.

Accepted Answer

A) The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $100,and spread out,with values ranging from $80 to $139.99. 
B) The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $110,and spread out,with values ranging from $80 to $140. 
C) The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $90,and spread out,with values ranging from $80 to $139.99. 
D) The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the left.The distribution is centred around $100,and spread out,with values ranging from $80 to $139.99. 
E) The distribution of the cost of living in the 32 Canadian cities is unimodal.The distribution is centred around $100,and spread out,with values ranging from $80 to $140.

Question 4

The local Tupperware dealers earned the following commissions,in dollars,last month. 
Round your answer to the nearest cent.

Accepted Answer

A) $4,073.77 
B) $3,660.40 
C) $2,342.19 
D) $3,666.40 
E) $4,583.00

Question 5

The test scores of 15 students are listed below.Find the lower quartile (Q1)by hand.

Accepted Answer

A) 55 
B) 56.5 
C) 58 
D) 85 
E) 86

Question 6

A small company employs a supervisor at $1,300 a week,an inventory manager at $800 a week,7 stock boys at $400 a week,and 5 drivers at $700 a week.Which measure of centre best describes a typical wage at this company,the mean at $600 or the median at $550?

Accepted Answer

A) Mean,because the distribution is symmetric. 
B) Median,because of the outlier $1,300. 
C) Mean,because there are no outliers. 
D) Median,because the distribution is skewed to the left. 
E) Median,because of the outliers $800 and $1,300.

Question 7

The test scores of 19 students are listed below.Find the interquartile range (IQR)by hand.

Accepted Answer

A) 25 
B) 31.5 
C) 31 
D) 30.5 
E) 28.5

Question 8

In a survey,20 people were asked how many magazines they had purchased during the previous year.The results are shown below.Construct a histogram to represent the data.Use 4 bins with a bin width of 10,and begin with a lower bin limit of -0.5.What is the approximate amount at the centre?

Accepted Answer

The answer of In a survey,20 people were asked how...

Question 9

The data below give the number of tornadoes that happened each year in a certain county from 1948 through 2004.Create a dotplot of these data.

Accepted Answer

The answer of The data below give the number of...

Question 10

The weights,in kilograms,of the members of the varsity football team are listed below.Create a stem-and-leaf display of the data.Use split stems by separating each stem into 5 stems.

Accepted Answer

The answer of The weights,in kilograms,of the members of the...

Question 11

Here are the commutes (in kilometres)for a group of six employees.Find the standard deviation.

Accepted Answer

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

Question 12

Ages of high school students.

Accepted Answer

A) The distribution would likely be unimodal and slightly skewed to the left.The average age of the high school students would be about the same.The distribution would be slightly skewed to the left,since there are more freshmen. 
B) The distribution would likely be unimodal and slightly skewed to the right.The average age of the high school students would be about the same.The distribution would be slightly skewed to the right,since there are more seniors. 
C) The distribution would likely be bimodal and slightly skewed to the right.The average age of the freshman and sophomores would be at one mode,and the average age of the juniors and seniors would be at the other mode.The distribution would be slightly skewed to the right,since there are more seniors. 
D) The distribution would likely be uniform.Freshmen tend to be about 14 years old;sophomores,15;juniors,16;and seniors,17.Since there is about an equal number of students in each class,the distribution is uniform. 
E) The distribution would likely be unimodal and symmetric.The average age of the high school students would be about the same,with some students that are older and some that are younger than the average age.

Question 13

Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders.

Which measures of centre and spread would you use for this distribution?

Accepted Answer

A) Mean and IQR,because the data is skewed to the left. 
B) Median and standard deviation,because the data is skewed to the left. 
C) Mean and standard deviation,because the data is skewed to the left. 
D) Mean and standard deviation,because the data is symmetric. 
E) Median and IQR,because the data is skewed to the left.

Question 14

Here are the amounts,in dollars,spent by six students at a university book store. 
Round your answer to the nearest cent.

Accepted Answer

A) $242.94 
B) $318.67 
C) $254.94 
D) $167.42 
E) $212.45

Question 15

The histograms display the body fat percentages of 42 female students and 48 male students taking a college health course.For which of the variables depicted in the histograms would you be most satisfied to summarize the centre with a mean? Explain.

Accepted Answer

A) The histogram of Women's Body Fat is skewed on the left.That makes it the best candidate of summarizing with a mean. 
B) The histogram of Women's Body Fat shows no outliers.That makes it the best candidate of summarizing with a mean. 
C) The histogram of Men's Body Fat is most nearly symmetric,is not strongly skewed and shows no outliers.That makes it the best candidate of summarizing with a mean. 
D) The histogram of Women's Body Fat is most nearly symmetric,is not strongly skewed and shows no outliers.That makes it the best candidate of summarizing with a mean. 
E) The histogram of Men's Body Fat is skewed on the left.That makes it the best candidate of summarizing with a mean.

Question 16

Here are the number of baseball games that Dave attended over the last several seasons.
1 15 17 21 30 30 49

Accepted Answer

A) 17 games 
B) 24 games 
C) 21 games 
D) 30 games 
E) 25.5 games

Question 17

Here are costs (in dollars)of 12 refrigerators.Find the range.

Accepted Answer

A) $905 
B) $920 
C) $915 
D) $900 
E) $910

Question 18

In a survey,26 voters were asked their ages.The results are shown below.Construct a histogram to represent the data (with 5 bins beginning with a lower bin limit of 19.5 and a bin width of 10).What is the approximate age at the centre?

Accepted Answer

The answer of In a survey,26 voters were asked their...

Question 19

Here are the average mathematics achievement scores for ninth graders in 32 counties.Find the standard deviation.

Accepted Answer

A) 75.3 
B) 75 
C) 73.3 
D) 74.3 
E) 75.5

Question 20

The weekly salaries,in dollars,of 16 government workers are listed below.Find the lower quartile (Q1)by hand.

Accepted Answer

A) $542.00 
B) $537.00 
C) $491.00 
D) $534.50 
E) $532.00

Exam 3: Displaying and Summarizing Quantitative Data

Here are the weights,in grams,of several snack crackers.

The histogram shows the cost of living,in dollars,in 32 Canadian towns.

The local Tupperware dealers earned the following commissions,in dollars,last month. Round your answer to the nearest cent.

The test scores of 15 students are listed below.Find the lower quartile (Q1) by hand.

A small company employs a supervisor at $1,300 a week,an inventory manager at $800 a week,7 stock boys at $400 a week,and 5 drivers at $700 a week.Which measure of centre best describes a typical wage at this company,the mean at $600 or the median at $550?

The test scores of 19 students are listed below.Find the interquartile range (IQR) by hand.

In a survey,20 people were asked how many magazines they had purchased during the previous year.The results are shown below.Construct a histogram to represent the data.Use 4 bins with a bin width of 10,and begin with a lower bin limit of -0.5.What is the approximate amount at the centre?

The data below give the number of tornadoes that happened each year in a certain county from 1948 through 2004.Create a dotplot of these data.

The weights,in kilograms,of the members of the varsity football team are listed below.Create a stem-and-leaf display of the data.Use split stems by separating each stem into 5 stems.

Here are the commutes (in kilometres) for a group of six employees.Find the standard deviation.

Ages of high school students.

Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders. Which measures of centre and spread would you use for this distribution?

Here are the amounts,in dollars,spent by six students at a university book store. Round your answer to the nearest cent.

The histograms display the body fat percentages of 42 female students and 48 male students taking a college health course.For which of the variables depicted in the histograms would you be most satisfied to summarize the centre with a mean? Explain.

Here are the number of baseball games that Dave attended over the last several seasons. 1 15 17 21 30 30 49

Here are costs (in dollars) of 12 refrigerators.Find the range.

In a survey,26 voters were asked their ages.The results are shown below.Construct a histogram to represent the data (with 5 bins beginning with a lower bin limit of 19.5 and a bin width of 10).What is the approximate age at the centre?

Here are the average mathematics achievement scores for ninth graders in 32 counties.Find the standard deviation.

The weekly salaries,in dollars,of 16 government workers are listed below.Find the lower quartile (Q1) by hand.