And How to Use Them to Calculate the Area Under the Curve Chapter 5 Lesson

Numerical Reasoning Spatial Relations Verbal Fluency Score x A student wanted to determine which of 3 scores on her report was actually a better score than that of her peers…she needs to standardiz e the scores first as each test is graded differentl y.

* The higher ( or lower ) the score, the more extreme the value. * So what will it be for * Numerical Reasoning? * Spatial Relations? * Verbal Fluency?

1. numerical reasoning = 105 z - score = spatial relations = 90 z - score = verbal fluency = 70 z - score = 1.67 * So the score of 70 on the verbal fluency test is actually the best score of the 3.

* So now if you want to find out how many students earned at most 70 points on their verbal fluency test * Since it’s not on the line of the bars, you may need more math for the answer. * For students earning at most 70 points, everything to the left can be a possibility. Shade it

* Look at the z score table… * Find the value * What is the value in the table? or 95.25% * 95.25% of students scored 70 points or lower on the exam. This is represented by the area under the curve. * How could you calculate the area to the right (those that scored higher than 70)?

* Now draw the curve and use the table to calculate the area to the left for the other two z-scores 1. numerical reasoning = 105 points standard deviation = 10 points z - score = spatial relations = 90 points standard deviation = 20 points z - score = 1.0