## In a standardized IQ test, the mean score is 100 and the standard deviation is 15. According to the Empirical rule, 95 % of all those who to

Question

In a standardized IQ test, the mean score is 100 and the standard deviation is 15. According to the Empirical rule, 95 % of all those who took the test should have scores between________________

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3 weeks 2021-10-01T05:00:42+00:00 1 Answer 0

According to the Empirical rule, 95 % of all those who took the test should have scores between 70 and 130.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 15

According to the Empirical rule, 95 % of all those who took the test should have scores

Within 2 standard deviations of the mean

100 – 2*15 = 70

100 + 2*15 = 130

According to the Empirical rule, 95 % of all those who took the test should have scores between 70 and 130.