UP:MA19.7A.28

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.

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.

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.