RS 1 Unit 1 Test

Last updated over 4 years ago

15 questions

Note from the author:

2

3

1

2

Library

RS 1 Unit 1 Test

Last updated over 4 years ago

15 questions

Note from the author:

RS 1

2

3

1

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

a. (1 pt) Give the observational units.

2

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

b. (2 pts) Which group is more consistent? Briefly explain.

2

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

c. (2 pts) Which group tended to estimate a larger circumference? Briefly explain.

RS 1

The mean can be determined from a boxplot.

True

False

The median and IQR are resistant to outliers.

True

False

Histograms are superior to stemplots because histograms retain the information contained in the data set.

True

False

The Empirical Rule applies to all data sets.

True

False

“What is your favorite color?” is a research question.

True

False

A sample of 100 men has an average height of 70 inches and a standard deviation of 2.5 inches. A sample of 100 women has an average height of 64 inches and a standard deviation of 2.5 inches. If both samples are combined, the standard deviation will be:

a. Less than 2.5 inches

b. Greater than 2.5 inches

c. Equal to 2.5 inches

d. Cannot tell from the information given.

This stemplot shows the ages of Chief Executive Officers (CEOs) of 60 corporations with annual sales between $5 million and $350 million. Which of the following is a correct statement about this distribution?

a. The distribution is skewed left

b. The oldest of the 60 CEOs is 70 years old

c. The median of the distribution is 51 years old

d. The range of the distribution is 42 years

The distribution of the number of points each of the 445 Freshman students earned during homecoming was approximately normal and had a mean of 20 and standard deviation of 6. What percentage of the freshman class earned more than 26 points?

For which of the following variables would it be more appropriate to use a bar graph than a histogram to display the distribution?

a. Annual income

b. Number of pets

c. Age

d. Marital status

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.
Which of the following could be the median of the waiting times, in minutes?

Of the following dotplots, which represents the set of data that has the greatest standard deviation?
a.

b.

c.

d.

e.

Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given below.

Which of the following statements must be true for these customers?

a. At least half of the customers spent less than or equal to $44.27, and at least half spent greater than or equal to $44.27.

b. Seventy-five percent of the customers spent between $36.27 and $58.97.

c. Twenty-five percent of the customers spent less than or equal to $58.97, and the remaining 75 percent spent greater than or equal to $58.97.

d. The mean amount spent by customers is $44.27.

e. A majority of customers spent $44.27.

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

a. (1 pt) Give the observational units.

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

b. (2 pts) Which group is more consistent? Briefly explain.

Show any work you need and/or explain your answers to receive full credit.

A large RS1 class of 32 students was split into two groups of 16 students. Each student was asked to estimate the circumference of a tennis ball just by looking at it. The results, in centimeters, for each group were made into boxplots. Answer the following questions using the given information and graphs:

c. (2 pts) Which group tended to estimate a larger circumference? Briefly explain.

The mean can be determined from a boxplot.

True

False

The median and IQR are resistant to outliers.

True

False

Histograms are superior to stemplots because histograms retain the information contained in the data set.

True

False

The Empirical Rule applies to all data sets.

True

False

“What is your favorite color?” is a research question.

True

False

A sample of 100 men has an average height of 70 inches and a standard deviation of 2.5 inches. A sample of 100 women has an average height of 64 inches and a standard deviation of 2.5 inches. If both samples are combined, the standard deviation will be:

a. Less than 2.5 inches

b. Greater than 2.5 inches

c. Equal to 2.5 inches

d. Cannot tell from the information given.

This stemplot shows the ages of Chief Executive Officers (CEOs) of 60 corporations with annual sales between $5 million and $350 million. Which of the following is a correct statement about this distribution?

a. The distribution is skewed left

b. The oldest of the 60 CEOs is 70 years old

c. The median of the distribution is 51 years old

d. The range of the distribution is 42 years

The distribution of the number of points each of the 445 Freshman students earned during homecoming was approximately normal and had a mean of 20 and standard deviation of 6. What percentage of the freshman class earned more than 26 points?

a. Less than 1%

b. 16%

c. 32%

d. 84%

e. This percentage cannot be determined from the information given

For which of the following variables would it be more appropriate to use a bar graph than a histogram to display the distribution?

a. Annual income

b. Number of pets

c. Age

d. Marital status

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.
Which of the following could be the median of the waiting times, in minutes?

a.  2.50

b. 7.25

c. 12.25

d. 15.00

e. 17.50

Of the following dotplots, which represents the set of data that has the greatest standard deviation?
a.

b.

c.

d.

e.

a

b

c

d

e

Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given below.

Which of the following statements must be true for these customers?

a. At least half of the customers spent less than or equal to $44.27, and at least half spent greater than or equal to $44.27.

b. Seventy-five percent of the customers spent between $36.27 and $58.97.

c. Twenty-five percent of the customers spent less than or equal to $58.97, and the remaining 75 percent spent greater than or equal to $58.97.

d. The mean amount spent by customers is $44.27.

e. A majority of customers spent $44.27.

RS 1 Unit 1 Test

RS 1 Unit 1 Test

The mean can be determined from a boxplot.

The median and IQR are resistant to outliers.

Histograms are superior to stemplots because histograms retain the information contained in the data set.

The Empirical Rule applies to all data sets.

“What is your favorite color?” is a research question.

A sample of 100 men has an average height of 70 inches and a standard deviation of 2.5 inches. A sample of 100 women has an average height of 64 inches and a standard deviation of 2.5 inches. If both samples are combined, the standard deviation will be:

This stemplot shows the ages of Chief Executive Officers (CEOs) of 60 corporations with annual sales between $5 million and $350 million. Which of the following is a correct statement about this distribution?

The distribution of the number of points each of the 445 Freshman students earned during homecoming was approximately normal and had a mean of 20 and standard deviation of 6. What percentage of the freshman class earned more than 26 points?

For which of the following variables would it be more appropriate to use a bar graph than a histogram to display the distribution?

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.Which of the following could be the median of the waiting times, in minutes?

Of the following dotplots, which represents the set of data that has the greatest standard deviation?a.b.c.d.e.

Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given below.Which of the following statements must be true for these customers?

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.
Which of the following could be the median of the waiting times, in minutes?

Of the following dotplots, which represents the set of data that has the greatest standard deviation?
a.

b.

c.

d.

e.

Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given below.

Which of the following statements must be true for these customers?