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This page shows questions in the Math 6 Statistics and Probability public release module at MSDE. 6th Grade Math
"Math 6 Statistics and Probability"

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This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

Students separated all the students in their class into two groups, Group A and Group B. Then they conducted an experiment using these steps.

  • Step 1: They measured the number of seconds each student took to count forward from 0 to 100.
  • Step 2: They measured the number of seconds each student took to count backward from 100 to 0.
  • Step 3: They calculated the difference, in seconds, between counting forward and counting backward for each student.

The two histograms show the differences, in seconds, for Group A and for Group B.

1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 Frequency Number of Seconds Group A Image The top histogram is titled Group A. It shows a frequency of 0 at 1 and 2 seconds and at 10 and 11 seconds. It shows a frequency of 1 at 3 seconds, goes up to a frequency of 5 at 6 seconds, and comes down to a frequency of 1 at 9 seconds.
1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 Frequency Number of Seconds Group B Image The bottom histogram is titled Group B. It shows a frequency of 1 at 1 second, goes up to a frequency of 5 at 6 seconds, and comes down to a frequency of 2 at 11 seconds.

Which phrases make each sentence true?

Select from the drop-down menus to correctly complete each sentence.

The center of Group A's data is  
  the center of Group B's data. The spread of Group A's data is  
  the spread of Group B's data.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

This is a multiple choice question that allows you to select only one option.

The lengths, in minutes, of the 14 movies currently showing at a movie theater are shown in the data set.

89 98 109 123 123 125 125
128 130 135 137 140 143 143

Which histogram correctly represents this data?

  1. A.
    1 2 3 4 5 6 7 8 9 10 Number of Movies Number of Minutes 85–99 100–114 115–129 130–144 Movie Lengths Image The histogram titled movie lengths. The horizontal axis is labeled number of minutes, and the vertical axis is labeled number of movies. 85 to 99 minutes, 2 movies, 100 to 114 minutes, 1 movie, 115 to 129 minutes, 5 movies, 130 to 144 minutes, 6 movies.
  2. B.
    1 2 3 4 5 6 7 8 9 10 Number of Movies Number of Minutes 85–99 100–114 115–129 130–144 Movie Lengths Image The histogram titled movie lengths. The horizontal axis is labeled number of minutes, and the vertical axis is labeled number of movies. 85 to 99 minutes, 1 movie, 100 to 114 minutes, 2 movies, 115 to 129 minutes, 6 movies, 130 to 144 minutes, 5 movies.
  3. C.
    1 2 3 4 5 6 7 8 9 10 Number of Movies Number of Minutes 85–99 100–114 115–129 130–144 Movie Lengths Image The histogram titled movie lengths. The horizontal axis is labeled number of minutes, and the vertical axis is labeled number of movies. 85 to 99 minutes, 2 movies, 100 to 114 minutes, 1 movie, 115 to 129 minutes, 6 movies, 130 to 144 minutes, 5 movies.
  4. D.
    1 2 3 4 5 6 7 8 9 10 Number of Movies Number of Minutes 85–99 100–114 115–129 130–144 Movie Lengths Image The histogram titled movie lengths. The horizontal axis is labeled number of minutes, and the vertical axis is labeled number of movies. 85 to 99 minutes, 1 movie, 100 to 114 minutes, 2 movies, 115 to 129 minutes, 5 movies, 130 to 144 minutes, 6 movies.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

This is a question with 2 parts, including a multiple choice question that allows you to select only one option.

The box plot summarizes the lengths of twelve fish caught in a lake.

22 28 40 0 10 20 30 40 50 Length (centimeters) Image The box plot is labeled length in centimeters. The number line ranges from 0 to 50 in increments of 10. The whiskers range from a little less than 10 centimeters to a little more than 40 centimeters, and the box ranges from 22 to 40 with a vertical line drawn at 28 centimeters.

Part A

Which statement about the mean and median lengths of the fish caught in the lake is true?

  1. A.
    There is not enough information to determine the mean, and the median is 28 centimeters.
  2. B.
    There is not enough information to determine the mean, and the median is 31 centimeters.
  3. C.
    The mean is 28 centimeters, and there is not enough information to determine the median.
  4. D.
    The mean is 31 centimeters, and there is not enough information to determine the median.

Part B

Which statement is true about the mean absolute deviation and interquartile range of the data on the box plot?

  1. A.
    The mean absolute deviation is 6, and the interquartile range is 18.
  2. B.
    There is not enough information to determine the mean absolute deviation, and the interquartile range is 18.
  3. C.
    The mean absolute deviation is 18, and there is not enough information to determine the interquartile range.
  4. D.
    There is not enough information to determine the mean absolute deviation, and the interquartile range is 6.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.