.In a normally distributed group of 450 students with mean 42 and standard deviation 8, the
number of students less than 48 marks is
(Given: Area corresponding to z = 0.75 is 0.2734)
Answers
Given : In a normally distributed group of 450 students with mean 42 and standard deviation 8,
To Find : number of students less than 48 marks
Solution:
Mean = 42
SD = 8
Z score = ( Value - Mean) /SD
Value = 48
=> Z score = (42 - 48) / 8 = 0.75
=> Z score corresponding to 0.75 = 0.7734 or 77.34 %
in Question Area corresponding to z = 0.75 is 0.2734 ( this above 50 % )
Hence 0.5 + 0.2734 = 0.7734
0.7734 students less than 48 marks
Total Students = 450
=> students less than 48 marks = 450 * 0.7734
= 348.03
= 348
number of students less than 48 marks is = 348
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