iqr - gorski compscigorskicompsci.ca/mdm4u/4_dist/ppt_3_iqr.pdf · two men are sitting in a bar...
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IQRMeasure of Spread for Medians
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Group A:1. Find the standard deviation of 5, 9, 10, 12, 14 162. Find the standard deviation of:
x 40 45 50 60
Frequency 2 4 5 4Group B:1. Find the standard deviation of 2, 3, 5, 7, 8, 112. Find the standard deviation of:
x 20 25 30 35
Frequency 3 1 8 7
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When my stats teacher said that I was average,
she was just being mean.
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With my head in a fireAnd my feet on some ice,I’d say that, on average,
I feel rather nice.
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Two men are sitting in a bar when Mark Zuckerberg walks in. One of the men says to
his friend, “How awesome! On average, everyone in this bar is a billionaire!”
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Most people have an above-average number of legs.
(The average person only has 1.99 legs. Most have 2, but some have 1 or 0, making
the average less than 2)
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Did you hear about the politician who promised that, if he was elected, he'd
make certain that everybody would get an above average income?
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Mean
Median
Standard Deviation
Inter Quartile Range
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Quartile Quarter
Quartet
Quartered
Quarter final
Latin: Quattuor: FourOld French: Quartier
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Essentially, Quartiles divide the data into quarters. The inter-quartile range goes from Q1 to Q3.
Inter-Quartile Range
MedianQ1 Q3
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23 26 26 29 30 31 31 31 33 33 34 35 38
1 2 3 4 5 6 7 8 9 10 11 12 13
39 41
14 15
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23 26 26 29 30 31 31 31 33 33 34 35 38
1 2 3 4 5 6 7 8 9 10 11 12 13
Min Q1 Median Q3 Max
39 41
14 15
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What was the lowest
mark?
What was the highest
mark?
What was the
median?
What is the Q1? What is the Q3?
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Percentile
Is similar to Quartiles, except instead of there being only 4 groups, there are 100.
It is used a lot to process Standardized Test Scores.
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SATscoresuse percentiles
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But we used to say that only the top percentile (99th) made the honours list.
In 2014, about 72 out of 6939 made the list
which was 1%.
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