Worked Example 1
Find the mean, median and mode of 8, 6, 9, 5, 7, 6 and 8.
MeanTotal 49 ÷ 7 = 7
MedianIn order: 5, 6, 6, 7, 8, 8, 9. The middle value is 7
Mode6 and 8, since both appear twice
What the three tell youThe mean and median agree, a sign that nothing in the set is extreme.
Worked Example 2
Nine students have a mean mark of 64. A tenth student scores 46.
Recover the total firstTotal = 64 × 9 = 576
Add the new markNew total = 576 + 46 = 622, over 10 students
Divide againNew mean = 622 ÷ 10 = 62.2
Sense checkA mark below the old mean must pull the mean down, and it did.
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