Description
According to the National Center for Health Statistics, the mean height of an American male is 69.3 inches and the mean height of an American female is 63.8 inches. The standard deviation for both genders is 2.7 inches.
- According to Chebyshev’s Theorem 75% of the data for your gender lies between what two heights?
- If height is assumed to be normal, what percentage of the data lies between those same two heights?
Help explaining how I arrived to my conclusions with the percentages as well.
Heights In Inches
Female Height
Female Height
Mean μ
63,8
STDV
2,7
Chebyshev’s Theorem
+/- 2σ STVD Low Value
5,4
58,4
-2σ
58,4
-1σ
61,1
1σ
66,5
2σ
69,2
The data percentage between the two heights is 95%
High Value
69,2
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Female Height
Female Height
Mean μ
63,8
STDV
2,7
Chebyshev’s Theorem
+/- 2σ STVD Low Value
5,4
58,4
-2σ
58,4
-1σ
61,1
1σ
66,5
2σ
69,2
The data percentage between the two heights is 95%
High Value
69,2
Purchase answer to see full
attachment
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