What percentage of a normal distribution is found within a range of z scores from -2 to +2?
Answers
Given : a normal distribution is found within a range of z scores from -2 to +2
To Find : percentage of data lying between
Solution:
Z score = ( Value - Mean ) / SD
Z score 2 => 2 deviation Right of Mean
Z score - 2 => 2 deviation Left of Mean
Refer z score table :
Z score 2 => 0.9772 = 97.72 % data is below this
Z score -2 => 0.0228 = 2.28 % data is below this
Hence Data within a range of z scores from -2 to +2
= 97.72 - 2.28
= 95.44 %
percentage of a normal distribution is found within a range of z scores from -2 to +2 = 95.44 %
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