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Let’s calculate the Z-score and use the Z-table with some real life examples. Be sure to...

Let’s calculate the Z-score and use the Z-table with some real life examples. Be sure to show your work.

  1. 500 University student’s exam scores are determined at the end of the semester. Patty scored 850 marks (X) in total out of 1000. The average score for the tests was 725 (µ) and the standard deviation was 180 (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 batch mates.

To find out the Z score we use the formula: Z score = ( x – µ ) / σ

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