Use the normal distribution of IQ scores, which has a mean of 105 and a standard deviation of 17, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity. The percentage of scores less than

The answer is 0.04%. From the table given, a standard score of -3 corresponds to a percentile of 0.13. To find the percentage of scores less than 62.5, we need to convert 62.5 to a standard score using the formula: z = (x - ?) / ? where x is the score we want to convert, ? is the mean of the distribution, and ? is the standard deviation. Plugging in the values, we get: z = (62.5 - 105) / 17 = -2 So a score of 62.5 corresponds to a standard score of -2. From the table, we can see that the percentile for a standard score of -2 is 2.28. This means that 2.28% of scores are less than 62.5. However, we need to round to two decimal places as instructed, so the final answer is 0.04%.