Determine the impact of adding or removing data from a data set on a measure of central tendency, and describe how these changes alter the shape and distribution of the data
30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.
Sample: the first question, solved
A data set is 3, 5, 7 (mean=5). If you add 20, find the new mean.
📘 Worked solution
✓New mean = (3+5+7+20) ÷ 4 = 35 ÷ 4 = 8.75.
And one from the hard end
A data set is 10, 20, 30, 40, 50, 60 (mean=35, median=35). An outlier of 200 is added, then the two smallest values (10 and 20) are removed. Find the final mean, and explain how these combined changes affect the shape of the distribution.
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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