Chapter5

# Chapter5 - Chapter 5 Describing Distributions Numerically...

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Chapter 5 Describing Distributions Numerically

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Describing the Distribution Center Median Spread Range Interquartile Range
Median Literally = middle number Different calculation when n is odd n is even

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Median (n is odd) Order the data from smallest to largest. Median is the middle number on the list. (n+1)/2 number from the bottom Ex: If n=11, median is the (11+1)/2 = 6 th number from the bottom. Ex: If n=37, median is the (37+1)/2 = 19 th number from the bottom.
Sammy Sosa Career HRs (per year) Year HR Year HR 89 4 96 40 90 15 97 36 91 10 98 66 92 8 99 63 93 33 00 50 94 25 01 64 95 36 02 49 03 40

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Sammy Sosa Order the values 4 8 10 15 25 33 36 36 40 40 49 50 63 64 66 n = 15, (n+1)/2 = (15+1)/2 = 8 th observation from bottom. Median = 36
Median (n is even) Order the data from smallest to largest. Median is the average of the two middle numbers. (n+1)/2 will be halfway between these two numbers. Ex: If n=10, (10+1)/2 = 5.5, median is average of 5 th and 6 th numbers from bottom.

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Barry Bonds Season Career HRs Year HR Year HR 86 16 95 33 87 25 96 42 88 24 97 40 89 19 98 37 90 33 99 34 91 25 00 49 92 34 01 73 93 46 02 46 94 37 03 45
Barry Bonds Order the values 16 19 24 25 25 33 33 34 34 37 37 40 42 45 46 46 49 73 n = 18, (n+1)/2 = (18+1)/2 = 9.5 average of 9 th and 10 th observations from bottom Median = (34 + 37)/2 = 35.5

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Spread Range Find minimum value Find maximum value Range = maximum - minimum
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Chapter5 - Chapter 5 Describing Distributions Numerically...

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