Regions Under Normal Curve Distribution PDF

REGIONS UNDER NORMAL CURVE DISTRIBUTION  The Z-Score Table: Z-score less than '0' signifies an element less than the mean. A z-score more than '0' symbolizes an element bigger than the mean. Z-score equivalent to '0' denotes an element that is equal to the mean. Z-score which is...

REGIONS UNDER NORMAL CURVE DISTRIBUTION  The Z-Score Table: Z-score less than '0' signifies an element less than the mean. A z-score more than '0' symbolizes an element bigger than the mean. Z-score equivalent to '0' denotes an element that is equal to the mean. Z-score which is equal to '1' represents an element which is one standard deviation superior to the mean. When a z-score is equal to -1' it represents an element which is one standard deviation less than the mean. If the quantity of elements in the set is huge, hence, about 68 percent of all the elements have a z-score between '-1' and '1'. Moreover, about 95 percent will be having a z-score between '-2' and '2', and lastly, about 99 percent of them will be having a z-score between '-3' and '3'.  hundredth place of a z-values z-values Example 1: Find the area that corresponds z = 2. The area that corresponds z = 2 is 0.4772 (47.72%) Example 2: Find the area that corresponds z = 2.47 The area that corresponds z = 2.47 is 0.4932 (49.32%) Example 3: Find the area that corresponds z = -2.47 The area that corresponds z = -2.47 is 0.4932 (49.32%) Example 4: Find the area that corresponds below 1.87 1.87 = 0.4693 0.5000 + 0.4693 = 0.9693 = 96.93% Example 5: Find the area that corresponds above 0.21 0.21 = 0.0832 0.5000 - 0.0832 = 0.4168 = 41.68% Example 6: Find the area that corresponds between -2.23 and -0.49 -2.23 = 0.4871 -0.49 = 0.1879 0.4871 - 0.1879 = 0.2992 = 29.92% Example 7: Find the area that corresponds outside -2.00 and 1.00  -2.00 = 0.4772 1.00 = 0.3413 (0.5000-0.4772) = 0.0228 (0.5000-0.3413) = 0.1587 0.0228 + 0.1587 = 0.1815 = 18.15%