92) In a certain exam 500 students appeared average score is 68 with S.D is 8.
Find the number of students scoring a)more than 60.
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Given : In a certain exam 500 students appeared
average score is 68
SD = 8
To Find : number of students scoring more than 60.
Solution:
Mean = 68
SD = 8
Z score = ( Value - Mean)/SD
Value = 60
=> Z score = ( 60 - 68)/8
=> Z score =-8/8
=> Z score = - 1
0.1587 proportion of 500 below 60
=> 0.8413 proportion of 500 above 60
= 420.65
≈ 421
number of students scoring a)more than 60 = 421
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