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Transcript 
Chapter 3: Descriptive Statistics
19
µ ± 3 = 125 ± 3(12) = 125 ± 36
between 89 and 161
3.22
=6
µ = 38
between 26 and 50:
x1 - µ = 50 - 38 = 12
x2 - µ = 26 - 38 = -12
x1  

x2  


12
= 2
6

 12
= -2
6
K = 2, and since the distribution is not normal, use Chebyshev’s theorem:
1
1
1
1 3
 1 2  1 
= .75
2
K
2
4 4
at least 75% of the values will fall between 26 and 50
between 14 and 62?
µ = 38
 =6
x1 - µ = 62 - 38 = 24
x2 - µ = 14 - 38 = -24
x1  

x2  


24
= 4
6

 24
= -4
6
K=4
1
1
1
1 15
 1 2  1

= .9375
2
K
4
16 16
at least 93.75% of the values fall between 14 and 62
between what 2 values do at least 89% of the values fall?
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