If you have a mean of 100 and a standard deviation of 15, find the value...

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If you have a mean of 100 and a standard deviation of 15, find the value...

If you have a mean of 100 and a standard deviation of 15, find the value corresponding to the 88th percentile, then explain each step in finding that number. Remember to respond to your classmates as well.

math Statistics-And-Probability

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Answer 1

Answer #1

Solution :

Given that ,

mean = = 100

standard deviation = = 15

The z - distribution of the 88 % is,

P( Z < z ) = 88%

P( Z < z ) = 0.88

P( Z < 1.175 ) = 0.88

z = 1.175

Using z - score formula,

X = z * +

= 1.175 * 15 + 100

= 117.63

88th percentile is 117.63

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Answer 2

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