

11.1b Range and Outliers
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Albert Lai
Used 36+ times
FREE Resource
12 Slides • 5 Questions
1
11.1b Range and Outliers

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Range - the range of the data set is the largest value minus the lowest value.
Find the largest number
Find the smallest number
subtract the two numbers
3
Find the range of the data set.
90, 80, 70, 65, 88, 93, 78, 83, 79, 92
largest number is 93
smallest number is 65
93 - 65 = 28
The range of value is 28
4
Find the range of the data set.
5, 3, 4, 8, 8, 7, 9, 9, 10, 7, 9, 9
largest number is 10
smallest number is 3
10 - 3 = 7
The range of value is 7
5
Fill in the Blanks
Find the range of the data set
18 16 14 13 15 17 20 19 18 19 20
answer is one number
Type answer...
6
Mean - remember mean is the average of the numbers.
Add them up.
divide by total number of values.
7
Find the mean of the data set
10 5 6 7 8 9 7 8 8 10
10+5+6+7+8+9+7+8+8+10=78
78 divided by 10 = 7.8
The mean is 7.8
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Fill in the Blanks
What is the mean of the data set?
4 5 6 3 5 7 8 8 9 9
Type answer...
9
Outlier - is a value that is much greater or smaller than the other values of the data set.
Like one person doing super bad in the class.
Or like only one person got an A while everyone else got a C or below.
Outliers affect the mean by a lot.
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Is there an outlier? If so what is it?
73 75 89 91 87 79 82 83 86 92
No outlier
everyone got a A B or C
so everyone did well
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Is there an outlier? If so what is it?
92, 88, 96, 86, 89, 90, 95, 97, 42, 83
42 is the outlier
everyone got a A B except that 42
so everyone did well except that one person
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Multiple Choice
Is there an outlier in the data set?
22, 34, 26, 50, 20, 30, 35, 29, 21, 23
No
21
50
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Remember we said outliers affect the mean? So we will find the mean with and without the outlier.
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In this data set we said 42 is the outlier
92, 88, 96, 86, 89, 90, 95, 97, 42, 83
Mean with everyone
(92+88+96+86+89+90+95+97+42+83)/10 = 85.8
Mean without outlier
(92+88+96+86+89+90+95+97+83)/9=81.6
see that one person brought down class average or mean 4%
15
Fill in the Blanks
Find the mean.
5 7 8 9 5 6 8 6 4 32
Type answer...
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Multiple Choice
Find the mean. Without the outlier.
5 7 8 9 5 6 8 6 4 32
Hint don't add the 32
Hint 9 total now
4.8
6.4
5.7
7.3
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So that 32 changed the average alot.
Imagine that data set was weight of a turtle. Most are all small and weigh about 6 pounds. Then we got a HUGE one at 32 pounds. That huge turtle would be the outlier!
11.1b Range and Outliers

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