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64 64 64 65 65 65 65 67 67 68 68 70 70 72 73 76 79 80.

NB Place the numbers in RANK order. In this case it is already done

#1 MODE ; is the term that occurs most frequently. In this case it is '65' , as there are four lots of '65'

#2 MEDIAN ; is the term that occurs at the ABSOLUTE middle of the ranked order. Since there are eighteen terms, there is no absolute middle term. So we take the two middle terms that have the same number of terms to their side, that is terms nine & ten. They are 67 & 68. We then add these two together and halve the result. Hence (67 + 68) / 2 = 67.5. This is the median term.

#3 MEAN ; is the sum of all the terms, which is the divided by the number of terms. Hence

(64+64+64+65+65+65+65+67+67+68+68+70+70+72+73+76+79+80)/18 =

69'

NB Another way of calculating the mean is

((3x64)+(4x65)+(2x67)+(2x68)+(2x70)+72+73+76+79+80)/18 = 69

NNB The word 'average' is casually used in the non-mathematical world, but the correct term is MEAN.

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lenpollock

Lvl 16
1y ago

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