THe Empirical Rule
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Last updated 6:10 PM on 7/17/23
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37 Terms
1
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Between -1 deviation and the mean
Where does 34% of the area of this normal curve lie?
2
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Between +1 and +2 deviations
Where Does 13.5% of the area of this normal curve lie?
3
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Between -2 and -3 devations
Where Does 2.35% of the area of this normal curve lie?
4
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Above +3 deviations
Where does 0.15% of the area of this normal curve lie?
5
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Within 1 Standard Deviation of the Mean; The Red Zone
Where can you find 68% of the area of this normal curve?
6
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Within 2 Standard Deviations of the Mean; The Red and Green Zones Combined
Where can you find 95% of the area of this normal curve?
7
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Within 3 Standard Deviations of the Mean; The Red, Green, and Blue Zones Combined
Where Can You Find 99.7% of the area of this normal curve?
8
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34
You are +1 standard deviation away from the mean. This is \___% of the area of the normal curve.
9
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47.5
You are +2 standard deviations away from the mean. This is \___% of the area of the normal curve.
10
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49.85
You are +3 standard deviations away from the mean. This is \___% of the area of the normal curve.
11
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0.15
You are beyond +3 standard deviations away from the mean. This is \___% of the area of the normal curve.
12
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34
You are -1 standard deviation away from the mean. This is \___% of the area of the normal curve.
13
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+2 or -2
You are \___ standard deviation(s) away from the mean. This accounts for 47.5% of the area of a normal curve.
14
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+1 or -1
You are \___ standard deviation(s) away from the mean. This accounts for 34% of the area of a normal curve.
15
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Above +3 or Below -3
You are \___ standard deviations away from the mean. This is 0.15% of the area of the normal curve.
16
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16
You are below -1 deviation. This is \___% of the area of the normal curve.
17
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2.5
You are above +2 standard deviations. This is \___% of the area of the normal curve.
18
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1
68% of the area of a normal curve within \___ standard deviation(s) away from the mean.
19
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2
95% of the area of a normal curve is within \___ standard deviation(s) away from the mean.
20
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95
\______% of the area of a normal curve is 2 standard deviations away from the mean.
21
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3
99.7% of the area of a normal curve is \___ standard deviation(s) away from the mean.
22
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68
1 standard deviation of the mean accounts for \___% of the area of a normal curve.
23
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99.7
3 standard deviations of the mean accounts for \___% of the area of a normal curve.
24
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x̄
The mean of a sample
25
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s
The standard deviation of a sample
26
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σ
The standard deviation of a population
27
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μ
The mean of a population
28
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Skewed Distributions
Use the median and IQR for center and spread
29
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Normal Distributions
Use the mean and standard deviation for center and spread.
30
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Mean \= 100, S.D. \= 10. 68% of the values will be between which two numbers?
90 and 110
31
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Mean \= 100 S.D. \= 10. 95% of the values will be between which two numbers?
80 and 120
32
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Mean \= 100 S.D. \= 10. 99.7% of the values will be between which two numbers?
70 and 130
33
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Mean \= 100 S. D. \= 10. The value 115 is how many deviations from the mean?
+1.5
34
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Mean \= 100 S. D. \= 10. The value 95 is how many deviations from the mean?
-0.5
35
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Mean \= 100 S.D. \= 10. 34% of the values will be between which two numbers?
90 and 100
36
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Mean \= 100 S. D. \= 10. The value 123 is how many deviations from the mean?
+2.3
37
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Mean \= 100 S. D. \= 10. The value 84 is how many deviations from the mean?
-1.6
