In recording the self-reported lengths of a particular body part in a sample of male undergraduates, the largest was claimed to be 20 cm—a full 3 standard deviations from the mean length for the sample. The shortest alleged length was only 10 cm, which was equivalent to standard score of -2. What were the mean and standard deviation of the alleged index finger lengths?
Mean = 14
Standard deviation = 2
Two standard deviations below the mean would be 10. Three standard deviations above the mean would be 20.