Common Core: High School - Statistics and Probability : Represent Data with Plots: CCSS.Math.Content.HSS-ID.A.1

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 #1 : Interpreting Categorical & Quantitative Data

Represent data with plots on the real number line (dot plots, histograms, and box plots).

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

\(\displaystyle 1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2\)

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

Possible Answers:

Runchart2

Runchart3

Runchart5

Runchart1

Correct answer:

Runchart1

Explanation:

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

\(\displaystyle 1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2\)

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

\(\displaystyle 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8, 9, 10\)

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

Screen shot 2015 11 23 at 6.06.45 pm

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

Runchart1

Example Question #1 : Interpreting Categorical & Quantitative Data

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

\(\displaystyle 1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2\)

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

Possible Answers:

Runchart5

Runchart4

Runchart3

Runchart1

Runchart2

Correct answer:

Runchart1

Explanation:

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

\(\displaystyle 1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2\)

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

\(\displaystyle 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8, 9, 10\)

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

Screen shot 2015 11 23 at 6.06.45 pm

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

Runchart1

Example Question #1 : Interpreting Categorical & Quantitative Data

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

\(\displaystyle 11,11,12,10,10,9,4,10,6,7,10,2,10,9,2,11,11,4,8,6,8\)

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

Possible Answers:

Hist1.1

Hist1.4

Hist1.2

Hist1.3

Hist1.5

Correct answer:

Hist1.1

Explanation:

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

\(\displaystyle 11,11,12,10,10,9,4,10,6,7,10,2,10,9,2,11,11,4,8,6,8\)

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

\(\displaystyle 2,2,4,4,6,6,7,8,8,9,9,10,10,10,10,10,11,11,11,11,12\)

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

 \(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 2 \\ \hline 4 & 2 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 9 & 2 \\ \hline 10 & 5 \\ \hline 11 & 4 \\ \hline 12 & 1 \\ \hline \end{tabular}\)

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

Hist1.1

Example Question #4 : High School: Statistics & Probability

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

\(\displaystyle 5,3,9,14,10,14,11,2,13,2,14,13,4,9,10,9,9,2,4,10,7\)

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

Possible Answers:

Hist2.5

Hist2.2

Hist2.1

Hist2.4

Hist2.3

Correct answer:

Hist2.1

Explanation:

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

\(\displaystyle 5,3,9,14,10,14,11,2,13,2,14,13,4,9,10,9,9,2,4,10,7\)

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

\(\displaystyle 2,2,2,3,4,4,5,7,9,9,9,9,10,10,10,11,13,13,14,14,14\)
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

\(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 3 \\ \hline 3 & 1 \\ \hline 4 & 2 \\ \hline 5 & 1 \\ \hline 7 & 1 \\ \hline 9 & 4 \\ \hline 10 & 3 \\ \hline 11 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}\)

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Insert hist1.1 here.
Hist2.1

Example Question #1 : High School: Statistics & Probability

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

\(\displaystyle 11,11,10,3,3,14,9,6,1,14,4,4,13,1,14,6,3,7,3,13,5\)

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

Possible Answers:

1

Hist3.1

Correct answer:

Hist3.1

Explanation:

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

\(\displaystyle 11,11,10,3,3,14,9,6,1,14,4,4,13,1,14,6,3,7,3,13,5\)

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

\(\displaystyle 1,1,3,3,3,3,4,4,5,6,6,7,9,10,11,11,13,13,14,14,14\)

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

 \(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 3 & 4 \\ \hline 4 & 2 \\ \hline 5 & 1 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 9 & 1 \\ \hline 10 & 1 \\ \hline 11 & 2 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}\)

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist3.1

Example Question #1 : High School: Statistics & Probability

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

\(\displaystyle 7,10,2,11,5,11,6,5,8,8,14,14,13,4,9,2,4,14,4,11,11\)

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

Possible Answers:

Hist1.5

Hist1.3

Hist1.1

Hist1.4

Hist1.2

Correct answer:

Hist1.1

Explanation:


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

\(\displaystyle 7,10,2,11,5,11,6,5,8,8,14,14,13,4,9,2,4,14,4,11,11\)

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

\(\displaystyle 2,2,4,4,4,5,5,6,7,8,8,9,10,11,11,11,11,13,14,14,14\)

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

\(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 2 \\ \hline 4 & 3 \\ \hline 5 & 2 \\ \hline 6 & 1 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 9 & 1 \\ \hline 10 & 1 \\ \hline 11 & 4 \\ \hline 13 & 1 \\ \hline 14 & 3 \\ \hline \end{tabular}\)

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

Hist1.1

Example Question #6 : High School: Statistics & Probability

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

\(\displaystyle 7,1,6,4,12,6,12,7,7,5,14,6,6,12,7,8,12,3,7,6,11\)

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

Possible Answers:

Hist2.4

Hist2.2

Hist2.5

Hist2.3

Hist2.1

Correct answer:

Hist2.1

Explanation:

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

\(\displaystyle 7,1,6,4,12,6,12,7,7,5,14,6,6,12,7,8,12,3,7,6,11\)

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

\(\displaystyle 1,3,4,5,6,6,6,6,6,7,7,7,7,7,8,11,12,12,12,12,14\)
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

\(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 1 \\ \hline 3 & 1 \\ \hline 4 & 1 \\ \hline 5 & 1 \\ \hline 6 & 5 \\ \hline 7 & 5 \\ \hline 8 & 1 \\ \hline 11 & 1 \\ \hline 12 & 4 \\ \hline 14 & 1 \\ \hline \end{tabular}\)

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist2.1

Example Question #7 : High School: Statistics & Probability

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

\(\displaystyle 11,9,1,1,13,4,8,2,2,14,3,2,10,2,13,12,5,5,8,2,10\)

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

Possible Answers:

Hist3.5

Hist3.4

Hist3.1

Hist3.3

Hist3.2

Correct answer:

Hist3.1

Explanation:

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

\(\displaystyle 11,9,1,1,13,4,8,2,2,14,3,2,10,2,13,12,5,5,8,2,10\)

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

\(\displaystyle 1,1,2,2,2,2,2,3,4,5,5,8,8,9,10,10,11,12,13,13,14\)

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

 \(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 2 & 5 \\ \hline 3 & 1 \\ \hline 4 & 1 \\ \hline 5 & 2 \\ \hline 8 & 2 \\ \hline 9 & 1 \\ \hline 10 & 2 \\ \hline 11 & 1 \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 1 \\ \hline \end{tabular}\)

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

Hist3.1

Example Question #1 : High School: Statistics & Probability

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

\(\displaystyle 6,3,12,6,5,12,8,2,14,13,3,11,11,2,3,14,1,7,14,3,8\)

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

Possible Answers:

Hist4.1

Hist4.2

Hist4.3

Hist4.4

Hist4.5

Correct answer:

Hist4.1

Explanation:

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

\(\displaystyle 6,3,12,6,5,12,8,2,14,13,3,11,11,2,3,14,1,7,14,3,8\)

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

\(\displaystyle 1,2,2,3,3,3,3,5,6,6,7,8,8,11,11,12,12,13,14,14,14\)
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

 \(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 1 \\ \hline 2 & 2 \\ \hline 3 & 4 \\ \hline 5 & 1 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 11 & 2 \\ \hline 12 & 2 \\ \hline 13 & 1 \\ \hline 14 & 3 \\ \hline \end{tabular}\)

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist4.1

Example Question #9 : High School: Statistics & Probability

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

\(\displaystyle 5,7,2,12,13,14,10,9,7,6,1,5,6,10,2,9,13,10,14,14,1\)

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

Possible Answers:

Hist5.1

Hist5.4

Hist5.2

Hist5.5

Hist5.3

Correct answer:

Hist5.1

Explanation:

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

\(\displaystyle 5,7,2,12,13,14,10,9,7,6,1,5,6,10,2,9,13,10,14,14,1\)

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

\(\displaystyle 1,1,2,2,5,5,6,6,7,7,9,9,10,10,10,12,13,13,14,14,14\)
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

 \(\displaystyle \begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 2 & 2 \\ \hline 5 & 2 \\ \hline 6 & 2 \\ \hline 7 & 2 \\ \hline 9 & 2 \\ \hline 10 & 3 \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}\)

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

Hist5.1

All Common Core: High School - Statistics and Probability Resources

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