Question

15 multiple choice 0.84 points the iq scores on the weschler adult intelligence scale (wais) follow a normal distribution with a mean of 100 and a standard deviation of 12. without standardizing the value(s), determine the iq scores that make up the middle 95% of iq scores. between 76 and 124 between 89 and 111 between 64 and 136

Explanation:

Step1: Recall the empirical rule for normal distributions

The empirical rule states that for a normal distribution, approximately 95% of the data lies within 2 standard deviations of the mean.

Step2: Calculate the lower and upper bounds

The mean ($\mu$) is 100 and the standard deviation ($\sigma$) is 12.
The lower bound is $\mu - 2\sigma=100 - 2\times12=100 - 24 = 76$.
The upper bound is $\mu + 2\sigma=100 + 2\times12=100 + 24 = 124$.

Answer:

Between 76 and 124