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D1.5 determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers and decimal numbers, and explain what each of these measures indicates about the data.
Range of a data set is a stepping stone to measuring the standard deviation.
Range shows the spread of the data
Range is not always a good indicator of the spread and needs to be paired with average (median, mean) to better describe a data set.
know how to calculate the range. (The range is the difference between the least value and the greatest value so it shows the spread of the data.)
I know how to calculate the range.
I know how to calculate the measures of central tendency (mean, median and mode of a data set) and use the range to give a good picture of the data.
Exploring Mean, Median and Mode using playing cards. Grade 4 students will not calculate the Range.
Activity with Student Assignment:
Review how to read stem and leaf plots.
Have students determine the range and the mean, median and mode of the data set below. What do you notice about the two data sets?
Have them sort the data from each class. What do they notice? Then have to find the mean, median and mode for each class. What do they notice? Are the noticings the same?
What measure of central tendency (mean, median or mode) represents the data from both classes and would be used to compare the data sets properly?