Question

The average salary for a Marriage and Family Therapist= is $49,270 / standard deviation of $12,000. you earn $46,000. Jun earns $45,500, Jaymee earns $49,270, Jan earns $36,000 p/y, and Juan earns $52,000 p/y. You are looking at the average of you and your MFT friends’ salaries within the normalized salary distribution located. What percentage of people make less money than your group average?

Answer 1

Group average = $46,000 + $45,500 + $49,270 + $36,000 + $52,000

= 228770/5

=45754

Now to calculate....

µ =    49270      
σ =    12000      
          
P( X ≤    45754   ) = P( (X-µ)/σ ≤ (45754-49270) /12000)  
=P(Z ≤   -0.293   ) =  

= 0.3847611

=38.48%

Please revert in case of any doubt.

Please upvote. Thanks in advance