A particular group of men have heights with a mean of 169 cm

A particular group of men have heights with a mean of 169 cm and standard deviation of 8 cm. Richard had a height 177 cm. a. What is the positive deviations between Richard\'s height and the mean? b. How many standard deviations is that [ the difference found in part (a)]? c.Convert Richard\'s height to a z score. d. If we consider \"usual\" heights to be that [the difference found in part (a)]?

Solution

Normal Distribution
Mean ( u ) =168
Standard Deviation ( sd )=8
Normal Distribution Z Score = Z= X- u / sd ~ N(0,1)                  
Z = (177-168)/8
Z = 9/8 = 1.125

Answer: Z score = 1.125