Question

The scores on a psychology exam were normally distributed with a mean of 58 and a standard deviation of 9. What is the standard score for an exam score of 57​? The standard score is ______

Answer 1

SOLUTION

From given data,

The scores on a psychology exam were normally distributed with a mean of 58 and a standard deviation of 9. What is the standard score for an exam score of 57​? The standard score is ______

Where,

Mean = =58

standard deviation= = 9

The standard score for an exam score= X = 57​

We know that

X~N(    , ² ) => Z =[ (X-)/] ~N(0,1)

By substituting the values we get,

Z=[ (57-58)/9]

=-1/9

= -0.111

The standard score is -0.111