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Mathematics > Grade 8 > Statistics and Probability

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Mathematics | Grade : 8

Domain - Statistics and Probability

Cluster - Investigate patterns of association in bivariate data.

[8.SP.A.4] - Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?


Resources:


  • Bivariate data
    Pairs of linked numerical observations. Example: a list of heights and weights for each player on a football team.
  • Relative frequency
    The empirical counterpart of probability. If an event occurs N' times in N trials, its relative frequency is N'∕N.
  • Variable
    A quantity that can change or that may take on different values. Refers to the letter or symbol representing such a quantity in an expression, equation, inequality, or matrix.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

  • AI.S-ID.B.5
    Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.*
  • AI.S-ID.C.8
    Compute (using technology) and interpret the correlation coefficient of a linear fit.*
  • AI.S-ID.C.9
    Distinguish between correlation and causation.
  • GEO.S-CP.A.4
    Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.* For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
  • MI.S-ID.B.5
    Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.*
  • MI.S-ID.C.8
    Compute (using technology) and interpret the correlation coefficient of a linear fit.*
  • MI.S-ID.C.9
    Distinguish between correlation and causation.*
  • MII.S-CP.A.4
    Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.* For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.

Same Level Standards:

No Same Level Standards found.