MA19.7.12

Mathematics (2019) Grade(s): 7

MA19.7.12

Make informal comparative inferences about two populations using measures of center and variability and/or mean absolute deviation in context.

Unpacked Content

Knowledge

Students know:
  • measures of center are insufficient to compare populations. measures of variability are necessary to assess if data sets are significantly different or not.
  • Mean is the sum of the numerical values divided by the number of values.
  • Median is the number that is the midpoint of an ordered set of numerical data.
  • Mode is the data value or category occurring with the greatest frequency (there can be no mode, one mode, or several modes).
  • Mean absolute deviation of a data set is found by the following steps: 1) calculate the mean 2) determine the deviation of each variable from the mean 3) divide the sum of the absolute value of each deviation by the number of data points.
  • Range is a number found by subtracting the minimum value from the maximum. value.

Skills

Students are able to:
  • find the measures of center of a data set.
  • Find the interquartile range of a data set and use to compare variability between data sets.

Understanding

Students understand that:
  • outliers skew data, which in turn affects the display.
  • Measures of center give information about the location of mean, median and mode, whereas measures of variability give information about how spread out the data is.
  • The mean absolute deviation of a data set describes the average distance that points within a data set are from the mean of the data set.

Vocabulary

  • Mean
  • median
  • mode
  • Mean absolute deviation
  • Range
  • Interquartile range

Aligned Learning Resources

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