explain while the total area of the region between z = negative 2 and z = positive 2 is 0.95 44 or 95 point 44%?
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Given : total area of the region between z = -2 and z = 2 is 0.9544 or 95.44%
To Find : Explain
Solution:
z score = ( Value - Mean ) / SD
Hence z = - 2 Means
That 2 SD left of Mean
Z = 2 means 2 SD right of Mean
Refer z score table
z = - 2 refers to 0.228
=> 2.28 % data if below z = - 2
z = - 2 refers to 0.9772
=>97.72 % data if below z = 2
Hence Data between z = - 2 and z = 2
is 97.72 % - 2.28 %
= 95.44 %
= 0.9544
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