Math, asked by siddharth3414, 1 year ago

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data greater than 6.9.

Answers

Answered by danielochich
5
Solution:

z = (X-Mean)/SD

z = (6.9-5.1)/0.9 = + 2.0

According to the Empirical Rule 68-95-99.7

Mean +/- 2*SD covers 95% of the values

Percent of the values below the mean = Percent of the values above the mean = 50%


Therefore, 

Required percent = 50% - 95%/2

= 50% - 47.5%

= 2.5%
Answered by Anonymous
8

Answer:

Step-by-step explanation:

Solution:

z = (X-Mean)/SD

z = (6.9-5.1)/0.9 = + 2.0

According to the Empirical Rule 68-95-99.7

Mean +/- 2*SD covers 95% of the values

Percent of the values below the mean = Percent of the values above the mean = 50%

Therefore,

Required percent = 50% - 95%/2

= 50% - 47.5%

= 2.5%

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