A distribution with p 55 and a 6 is being standardized so

A distribution with p = 55 and a = 6 is being standardized so that the new mean and standard deviation will be mu = 50 and sigma = 10. When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution? a. X= 55 b. X =58 c. X= 53 d. X = 61

Solution

X = 58 is half a standard deviation above the mean, initially. (55 + (1/2)(6) = 58)

Now, then, the new value has to be half a standard deviation from the mean, still.

Hence,

X = 50 + (1/2)(10) = 55 [ANSWER, OPTION A]