Answer to Question #186286 in Statistics and Probability for leonardo

Question

convert the raw score of 30 and 48 to a z-score

Answer 1

Z score= (X_i-μ )/ δ 

Where μ is the mean

δ  is the standard deviation

Mean =30+48=78/2=39

Standard deviation= sqrt81=9

Z score of 30 = (30-39)/9

=-9/9= -1

Z score of 48 =(48-39)/9

= 9/9= 1