Finding Areas Above the Normal Curve

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Finding Areas Above the Normal Curve:

Finding Areas Above the Normal Curve Andrew Vest

Normal Curve :

Normal Curve

Find the Mean and Standard Deviation:

Find the Mean and Standard Deviation Calculate the Mean and the Standard Deviation These are necessary to convert the raw scores into Z-scores

Computing the Z Score:

Computing the Z Score Compute the Z score using this formula: Subtract the mean from the raw score then divide by the standard deviation

Finding the Area:

Finding the Area Find the Z score on the normal curve table and look for the area beyond the Z score

Example 1:

Example 1

PowerPoint Presentation:

Compute the Z score for an IQ score of 120: 120-100= 20/20= +1.00 Find the 1.00 Z score on the chart. The area beyond the Z (above the normal curve) is .1587 or 15.87%

Example 2:

Example 2

PowerPoint Presentation:

Compute the Z score for an IQ score of 110 : 110-100 = 10/10 = +1.00 Find the 1.00 Z score on the chart. The area beyond the Z (above the normal curve) is .1587 or 15.87%

Side Note:

Side Note A normal curve is symmetrical which means it’s identical on either side of the mean. So whatever area is ABOVE the normal curve is the same area UNDER the normal curve. So for example 1 the area under the curve is: 80-100= -20/20= -1.00 Z= -1.00= .1587 And for Example 2: 90-100= -10/10= -1.00 Z= -1.00= .1587

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