Mean, Median, Mode & Range

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Transcript of Mean, Median, Mode & Range
Outlier
• An outlier is a data item that is much higher or much lower than items in a data set.
• 1, 2, 5, 27, 3, 4
How to Find the Mean of a Group of Numbers
• Step 1 – Add all the numbers.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
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How to Find the Mean of a Group of Numbers
• Step 2 – Divide the sum by the number of addends.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96 How many addends are there?
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How to Find the Mean of a Group of Numbers
• Step 2 – Divide the sum by the number of addends.
6)96 sum# of addends1
636
6
63BACK
Definition
• MedianMedian – the middle number in a set of ordered numbers.
1, 3, 7, 10, 13Median = 7Median = 7
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How to Find the Median in a Group of Numbers
• Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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How to Find the Median in a Group of Numbers
• Step 2 – Find the middle number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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How to Find the Median in a Group of Numbers
• Step 2 – Find the middle number.
18, 19, 21, 24, 27
This is your median number.
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How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
18, 19, 21, 25, 27, 28
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How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
21+ 25 = 46
2) 46 23 median
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Definition• ModeMode – the number that
appears most often in a set of numbers.
1, 1, 3, 7, 10, 13Mode = 1Mode = 1
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How to Find the Mode in a Group of Numbers
• Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
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How to Find the Mode in a Group of Numbers
• Step 2 – Find the number that is repeated the most.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
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Definition• RangeRange – the difference between
the greatest and the least value in a set of numbers.
1, 1, 3, 7, 10, 13Range = 12Range = 12
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How to Find the Range in a Group of Numbers
• Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27BACK
How to Find the Range in a Group of Numbers
• Step 2 – Find the lowest and highest numbers.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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How to Find the Range in a Group of Numbers
• Step 3 – Find the difference between these 2 numbers.
18, 19, 21, 24, 27
27 – 18 = 9The range is 9
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17, 18, 19, 21, 24,26, 27The lower quartile (LQ) is the median of the lower half of the data.
The LQ is 18.The upper quartile (UQ) is the median of the upper half of the data. The UQ is 26.
The interquartile range is UQLQ
81826 BACK
Key SkillsUse data to construct a histogram.
Jose bowled 11 games: 172, 152, 168, 157,143, 175,144, 164, 142, 172, 168.
Histogram:
TRY THIS
Bowling scores
00.5
11.5
22.5
33.5
140's 150's 160's 170's
Find the median
76, 78, 82, 87, 88, 88, 89, 90, 91, 95
88
Find the median of this segment
82
76,78, 82
1st quartile
Find the median of this segment.
90
88, 89,90
3rd quartile
76, 78, 82, 87, 88, 88, 89, 90, 91, 95
Now for the box and whisker
65 70 75 80 85 90 95
Minimum End of 1st quartile
Median End of 3rd quartile
Maximum
100 105
Find the median
142, 143, 144, 152, 157, 164, 168, 168, 172, 172 175.
164
Find the median of this segment
144
142, 143, 144
1st quartile
Find the median of this segment.
172
168, 168, 172
3rd quartile