After taking the state merit examinations for the position of school counselor and social worker, you receive the following information on the tests and on your performance. On which test did you do better?
School Counselor  Social Worker 






To find:
The test with better performance.
Given:
The following table gives the information of the tests in the state merit examinations for the position of school counselor and social worker.
School Counselor  Social Worker 
Description:
The normal curve is symmetrical and its mean is equal to the median. The area below and above the mean is 50% or 0.05.
Formula used:
Let the data values be denoted by
The formula to calculate the
Where,
Calculation:
For the score of 127 for school counselor position,
Given that the mean is 118 and standard deviation is 17.
Substitute 127 for
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