Math, asked by meghanamarathe30, 5 months ago

What percentage of a normal distribution is found within a range of z scores from -2 to +2?​

Answers

Answered by amitnrw
1

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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