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
