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Measures of central tendency mean
1. Copyright ยฉ 2012 Pearson Canada Inc., Toronto, Ontario
Slide 4- 1
Measures of Central Tendency
๏ฎ Measures of central tendency provide information
about typical or average values of a data set.
๏ฎ Mean, Median and Mode are the most commonly
used measures of central tendency.
๏ฎ It is unique that a data set has one and only one
mean
๏ฎ The value of the mean is influenced by all
observations in the data set
2. Copyright ยฉ 2012 Pearson Canada Inc., Toronto, Ontario
Slide 4- 2
Centre of a Distribution - Mean
๏ฎ When a distribution is unimodal and symmetric,
most people will point to the centre of a
distribution.
๏ฎ If we want to calculate a number, we can average
the data.
๏ฎ We use the Greek letter sigma to mean โsumโ and
write:
yTotal
y
n n
๏ฝ ๏ฝ
๏ฅ
The formula says that to find the
mean, we add up the numbers
and divide by n.
3. Copyright ยฉ 2012 Pearson Canada Inc., Toronto, Ontario
Mean of a frequency distribution
๏ฎ Mean =
๐๐ฅ
๐
Slide 4- 3
4. Copyright ยฉ 2012 Pearson Canada Inc., Toronto, Ontario
Slide 4- 4
Centre of a Distribution โ Mean (cont)
๏ฎ The mean feels like the centre because it is the point
where the histogram balances: