Common Core: High School - Statistics and Probability : High School: Statistics & Probability

Study concepts, example questions & explanations for Common Core: High School - Statistics and Probability

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All Common Core: High School - Statistics and Probability Resources

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Example Questions

Example Question #11 : Interpreting Categorical & Quantitative Data

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist6.5

Hist6.2


Hist6.4

Hist6.1


Hist6.3

Correct answer:

Hist6.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:


Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

Hist6.1

 

Example Question #12 : Interpreting Categorical & Quantitative Data

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist7.4

Hist7.3

Hist7.1

Hist7.2

Hist7.5

Correct answer:

Hist7.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:


Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure: 

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

Hist7.1

Example Question #13 : High School: Statistics & Probability

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist8.3

Hist8.2

Hist8.1

Hist8.4

Hist8.5

Correct answer:

Hist8.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

 

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

Hist8.1

Example Question #14 : High School: Statistics & Probability

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist9.5

Hist9.4

Hist9.2

Hist9.1

Hist9.3

Correct answer:

Hist9.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:


Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

 

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist9.1

Example Question #15 : High School: Statistics & Probability

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist10.3

Hist10.5

Hist10.1

Hist10.4

Hist10.2

Correct answer:

Hist10.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:


Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:


Hist10.1

Example Question #16 : High School: Statistics & Probability

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Possible Answers:

Hist11.3

Hist11.4

Hist11.1

Hist11.5

Hist11.2

Correct answer:

Hist11.1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

Hist11.1

Example Question #11 : High School: Statistics & Probability

Which statement about the two sets is TRUE?

Possible Answers:

Of the two sets, Set B has the smaller mean, median, and standard deviation.

In Set B, the mean is larger than the median.

The standard deviation of Set B is twice the standard deviation of Set A.

Of the two sets, Set A has the smaller mean, median, and standard deviation.

Set A has a smaller standard deviation but larger range than Set B.

Correct answer:

Of the two sets, Set A has the smaller mean, median, and standard deviation.

Explanation:

 

 

 

 

Example Question #2 : Use Statistics To Compare Center And Spread Of Data Distribution: Ccss.Math.Content.Hss Id.A.2

A plumber salvages old brass fittings in order to make extra money by selling scrap metal. He tallies his scrap totals for a five month period. The plumber collected the following pounds of brass in a five month period:

Screen shot 2015 11 25 at 11.15.38 am

Find the proper measure of center and spread for this data set.

Possible Answers:

Correct answer:

Explanation:

There are several common measures of center and spread for a given data set. The most common measures of center are the mean and median. The mean represents the arithmetic average of a set and the median is the middlemost value. On the other hand the most common measures of spread are the mean absolute deviation (MAD) and inter-quartile range (IQR).

The measures of center and spread vary for different sets of data. The mean and MAD are used together to analyze data presented in bar charts or histograms while the median and IQR are most commonly used for box and whisker plots.

Lets look at our data. We have the following pounds of brass for the five-month period starting in January:

First let's plot this data on a bar graph.

 

Brass

Now, let's use the mean and MAD to calculate the center and spread of the data respectively.

The center should be calculated using the mean. The mean is the arithmetic average and is found by adding all of the values together and dividing by the number of values in the series. 

Now, let's find the spread of the data using the MAD. The MAD describes how data varies about the mean. The MAD is calculated by finding out how much each data points deviates from the mean and dividing by the total number of values in the series. 

First, let's find out how much each value varies from the mean by taking the absolute value of the mean minus each individual value.

Now, we need to add up these values and divide that total by the number of values in the series.

The MAD is the value that each individual number in the set deviates from the mean; therefore, it represents the spread of the series.

The correct answer for this problem is the following:

Example Question #2 : Use Statistics To Compare Center And Spread Of Data Distribution: Ccss.Math.Content.Hss Id.A.2

A plumber salvages old brass fittings in order to make extra money by selling scrap metal. He tallies his scrap totals for a five month period. The plumber collected the following pounds of brass in a five month period:

Screen shot 2015 11 25 at 11.15.38 am

Find the proper measure of center and spread for this data set.

Possible Answers:

Correct answer:

Explanation:

There are several common measures of center and spread for a given data set. The most common measures of center are the mean and median. The mean represents the arithmetic average of a set and the median is the middlemost value. On the other hand, the most common measures of spread are the mean absolute deviation (MAD) and inter-quartile range (IQR).

The measures of center and spread vary for different sets of data. The mean and MAD are used together to analyze data presented in bar charts or histograms while the median and IQR are most commonly used for box and whisker plots.

Let's look at our data. We have the following pounds of brass for the five-month period starting in January:

First, let's plot this data on a bar graph.

Brass

Now, let's use the mean and MAD to calculate the center and spread of the data respectively.

The center should be calculated using the mean. The mean is the arithmetic average and is found by adding all of the values together and dividing by the number of values in the series. 

Now, let's find the spread of the data using the MAD. The MAD describes how data varies about the mean. The MAD is calculated by finding out how much each data points deviates from the mean and dividing by the total number of values in the series. 

First, let's find out how much each value varies from the mean by taking the absolute value of the mean minus each individual value.

Now, we need to add up these values and divide that total by the number of values in the series.

The MAD is the value that each individual number in the set deviates from the mean; therefore, it represents the spread of the series.

The correct answer for this problem is the following:

Example Question #3 : Use Statistics To Compare Center And Spread Of Data Distribution: Ccss.Math.Content.Hss Id.A.2

A plumber salvages old brass fittings in order to make extra money by selling scrap metal. He tallies his scrap totals for a five month period. The plumber collected the following pounds of brass in a five month period:

Screen shot 2015 11 25 at 11.15.38 am

Find the proper measure of center and spread for this data set.

Possible Answers:

Correct answer:

Explanation:

There are several common measures of center and spread for a given data set. The most common measures of center are the mean and median. The mean represents the arithmetic average of a set and the median is the middlemost value. On the other hand the most common measures of spread are the mean absolute deviation (MAD) and inter-quartile range (IQR).

The measures of center and spread vary for different sets of data. The mean and MAD are used together to analyze data presented in bar charts or histograms while the median and IQR are most commonly used for box and whisker plots.

Lets look at our data. We have the following pounds of brass for the five-month period starting in January:

First let's plot this data on a bar graph.

 

Brass

Now, let's use the mean and MAD to calculate the center and spread of the data respectively.

The center should be calculated using the mean. The mean is the arithmetic average and is found by adding all of the values together and dividing by the number of values in the series. 

Now, let's find the spread of the data using the MAD. The MAD describes how data varies about the mean. The MAD is calculated by finding out how much each data points deviates from the mean and dividing by the total number of values in the series. 

First, let's find out how much each value varies from the mean by taking the absolute value of the mean minus each individual value.

Now, we need to add up these values and divide that total by the number of values in the series.

The MAD is the value that each individual number in the set deviates from the mean; therefore, it represents the spread of the series.

The correct answer for this problem is the following:

All Common Core: High School - Statistics and Probability Resources

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