Applied maths chapter 2

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1
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what is the formula for the mean
x bar = sum of x/n
2
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mean in frequency tables
sum of products of values and frequencies/sum of the frequencies
3
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to find the lower quartile for discrete data…
divide n by 4

if whole, the LQ is halfway between this data point and the one above

if not, round **up** and pick this data point

same with UQ but 3/4

if grouped data, interpolate and don’t round anything
4
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the variance is
the mean of the squares minus the square of the mean
5
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the standard deviation is
root variance
6
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if data is coded with the formula y = x-a/b, the mean of the coded data is given by…
y bar = x bar - a /b
7
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if data is coded with the formula y = x-a/b, the SD of the coded data is given as
SDy = SDx/b where SDx is the SD of the original data

can rearrange these to find the original means/SDs