Answer to Question #203438 in Statistics and Probability for NONHLANHLA BERNICE

Question #203438

What z score values represents the middle 90% of the values in a normal distribution?


1
Expert's answer
2021-06-14T19:14:50-0400

Solution:

Middle 90% of the value in a normal distribution



Middle grey area = 90% =0.90

Left white area= 5%=0.05

Right white area= 5%=0.05

We know that

"Z_{0.0505}=-1.64\\\\\n\\text{and}\\\\\nZ_{0.0495}=-1.65\\\\\n\n\\text{then \\space average} \n\\\\\nZ_{0.05 \\space left}=-1.645\\\\\n\n\\text{so}\\\\\nZ_{0.05 \\space right}=+1.645\\\\"

So we get, z- score value represents the middle 90% of the value in a normal distribution

-1.645 to +1.645


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