# Mean and standard deviation answer 4 questions

1-The Mean and Standard Deviation for Test for a well-known depression measure are 14 and 5 respectively, with the mean of 14 representing moderately depressed. according to the test manual, a lower score indicates less likelihood that your client is dealing with depression and a higher score indicates a greater likelihood that your client is dealing with depressionWhat percentile would your client be at if she scored at 9 ?, at 19 ? at 24? How would you feel if you scored a 19? How would you explain a score of 19 to your client referencing percentages?

2-A reading aptitude test has a Mean of 50 and a standard deviation of 4. Your client scores 58 on the aptitude test. Your client also takes a reading achievement test with a mean of 30 and the standard deviation of 3, scoring a 27 on the reading achievement test. What percentage of aptitude test takers is your clients score higher than?

What percentage of achievement test takers is your clients score higher than? What thoughts does this give you about your client? How would you present this information using specific percentages to your client? What results would you hope for?

3-Your 16-year-old child scores of 75 on the New York State Mathematics Regents Examination where the mean score is 81 with a standard deviation of 4. Approximately, what percentage of students who took the examination finished higher than your child?How would you explain these results to your own child using percentages?

Your child also took a  Mathematics Aptitude Test the previous month with a mean of 75 and a standard deviation of 15. Your a child scored a 44 on the mathematics aptitude test. Approximately what percentage of students who took this examination finished higher than your child? How would knowing the results of the aptitude test influence your answer when explaining the results of the Regents examination to your child? Was your explanation different knowing this information?

4-Mary, an Art Therapy student finish this semester with 10 completed paintings. The  class average for completed paintings was 8, with a standard deviation of 2. What percentage of students in the class did Mary finish higher than?

The semester before Mary completed 12 paintings when the class average was 9 paintings
With a standard deviation of 6. Approximately what percentage of students in the class did marry finish higher than?

Finally, in terms of first the ending in the class (class percentage) which semester, 10 completed or 12 completed was most successful for Mary in terms of class standing (highest percentage)?

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