Mean, Median, Mode

10
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Definition
• Mode – the number that appears most often in a set of numbers.
1, 1, 3, 7, 10, 13
Mode = 1
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How to Find the Mode in a Group of Numbers
Minimum
End of 1st quartile
Median
End of 3rd quartile
Maximum
76, 78,
82,87,ຫໍສະໝຸດ 88,88,89,
90,
91,
95
65
70
75
80
85
90
95 100 105
Now for the box and whisker
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
• 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.
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What is the range?
22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 32 – 21 = 11
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What is the range?
31, 8, 3, 11, 19 3, 8, 11, 19, 31 31 – 3 = 28
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Range = 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, 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.
21+ 25 = 46 median 23 2) 46
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What is the median of these numbers?
16, 10, 7 7, 10, 16
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
• 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
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
Mean, Median, Mode & Range
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sum
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Definition
• Median – the middle number in a set of ordered numbers.
1, 3, 7, 10, 13
Median = 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.
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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
Histogram:
Bowling scores
3.5 3 2.5 2 1.5 1 0.5 0 140'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
13,15,18,19,22,25
L.Q. U.Q.
Interquart ile Range 22 15 7
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Key Skills
Use data to construct a histogram.
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Jose bowled 11 games: 172, 152, 168, 157,143, 175,144, 164, 142, 172, 168.
2, 5, 2, 1, 5
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Mean is found by evening out the numbers
2, 5, 2, 1, 5
mean = 3
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How to Find the Mean of a Group of Numbers
• Step 1 – Add all the numbers.
What is the range?
23, 7, 9, 41, 19 7, 9, 23, 19, 41 41 – 7 = 34
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17, 18, 19, 21, 24,26, 27
The lower quartile (LQ) is the median of the lower half of the data.
The LQ is 18. The UQ is 26.
The upper quartile (UQ) is the median of the upper half of the data.
The interquartile range is UQ-LQ
26 18 8
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Even amounts divide in 2 equal halves.
21, 18, 24, 19, 18 18, 18, 19, 21, 24
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Definition
• Range – the difference between the greatest and the least value in a set of numbers.
1, 1, 3, 7, 10, 13
Definition
• Mean – the average of a group of numbers.
2, 5, 2, 1, 5
Mean = 3
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Mean is found by evening out the numbers
2, 5, 2, 1, 5
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Mean is found by evening out the numbers
• Step 3 – Find the difference between these 2 numbers.
18, 19, 21, 24, 27 27 – 18 = 9 The range is 9
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What is the range?
29, 8, 4, 8, 19 4, 8, 8, 19, 29 29 – 4 = 25
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.
# of addends
16 6) 96 6 36 36
1721681681723rdquartilemeanmedianmoderangeback谢谢你的阅读?知识就是财富?丰富你的人生
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