Final answer:
To find out what percent 122 is less than the mean IQ of 100, we need to calculate the standard deviation units from the mean to 122 and then convert it into a percentile.
Step-by-step explanation:
To find out what percent 122 is less than the mean IQ of 100, we need to calculate the standard deviation units from the mean to 122 and then convert it into a percentile. We can use the formula:
Percentile = (Z-Score) x 100
where Z-Score = (Value - Mean) / Standard Deviation. Plugging in the values, we have Z-Score = (122 - 100) / 15 = 22 / 15 = 1.47. Now we can calculate the percentile:
Percentile = (1.47) x 100 = 147%