Question

Scores on a certain iq test have a bell shaped distribution with a mean =100 and a standard deviation =15 use emprical rule to specify the interval into which 68% of iq scores fall

Answer 1

68% of IQ scores on a test with a mean of 100 and a standard deviation of 15 fall within the range of 85 to 115.

Step-by-step explanation:

The empirical rule states that for a bell-shaped distribution, about 68% of the data will fall within one standard deviation of the mean. Since scores on a certain IQ test have a bell-shaped distribution with a mean (μ) of 100 and a standard deviation (σ) of 15, we can calculate the interval into which 68% of IQ scores fall. To find this interval, we add and subtract one standard deviation from the mean.

Mean + 1 Standard Deviation = 100 + 15 = 115

Mean - 1 Standard Deviation = 100 - 15 = 85

Therefore, 68% of IQ scores are between 85 and 115.