Statistics for Social Workers Let’s hand calculate the Z-score and use the Z-table with some real life examples. Be sure

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Statistics for Social Workers
Let’s hand calculate the Z-score and use the Z-table with some
real life examples. Be sure to show your work. Take a photo of your
calculations and send for grading. Be sure it is legible!
1. 700 University student’s test scores are
determined at the end of the semester. Patty scored 780 marks (X)
in total out of 1000. The average score for the tests was 715 (µ)
and the standard deviation was 150 (σ). Let’s find out how well
Patty scored compared to her peers.
Using the above data we need to first standardize his score and
use the respective z-table to determine how well he performed
compared to his class mates. You must interpret your findings for
full marks.
To find out the Z score we use the formula: Z score = ( x – µ )
/ σ
2. On Patty’s
calculus test she didn’t fare so well. Patty scored 510 marks
(X) in total out of 1000. The average score for the tests was 785
(µ) and the standard deviation was 165 (σ). Let’s find out how well
Patty scored compared to her peers.