A distribution of scores has a mean of 90 and a standard deviation of 30. Fill-i

Question

A distribution of scores has a mean of 90 and a standard deviation of 30. Fill-in the table below with the z-scores that correspond to each position in the distribution. Suppose you also want to standardize the scores to a "k" scale where the mean of k is 100 and the standard deviation is 20. Fill-in the table below with the K scores that correspond to each position in the distribution.

For this distribution, a score of 105 would place the tail on the (right/left)  of the score and a percentage of  (.7734/ .2266) would be in the tail.

scale z score k score 30 60 80 90 120 1 150

Explanation / Answer

for z score =(scale-90)/30

and k score =100+z*20

therefore

  a score of 105 would place the tail on the right of the score and a percentage of  .2266) would be in the tail.

scale z score k score 30 -2 60 60 -1 80 90 0 100 120 1 120 150 2 140

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