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Suppose x has a normal distribution with mean 80 and standard deviation 5. What is the 90th percentile of x?.

Sagot :

The 90th percentile of x is 70.

What is standard deviation?

A set of values' variance or dispersion is measured by the standard deviation. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given:  Mean = 80, s = 5.

Computing values to standard deviation from mean,

Lower limit = mean - 2s

                  = 80 - 2(5)

                  = 80 - 10

Lower limit = 70

Hence, if x has a normal distribution with mean 80 and standard deviation 5 then the 90th percentile of x is 70.

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