At St. Algebra College, the 200 freshmen enrolled in introductory biology took a final exam on which their mean score was 72 and their standard deviation was 6. The following table presents the grades of 10 students. Convert each into a


Number of Students Above  Number of students Below 
60  
57  
55  
67  
70  
72  
78  
82  
90  
95 
To find:
The
Given:
The grades of 200 freshmen with a mean of 72 and standard deviation of 6 are
Description:
The normal curve is symmetrical and its mean is equal to the median. The area below and above the mean is 50% or 0.05.
Formula used:
Let the data values be denoted by
The formula to calculate the
Where,
Calculation:
Given that the mean is 72 and standard deviation is 6.
For the score of 60,
Substitute 60 for
From the normal distribution table the area below the score of
The area between the mean and the score
Use the concept of symmetry, the area above the score of
The number of students below 60 is,
The number of students above 60 is,
For the score of 57,
Substitute 57 for
From the normal distribution table the area below the score of
The area between the mean and the score
Use the concept of symmetry, the area above the score of
The number of students below 57 is,
The number of students above 57 is,
For the score of 55,
Substitute 55 for
From the normal distribution table the area below the score of
The area between the mean and the score
Use the concept of symmetry, the area above the score of
The number of students below 55 is,
The number of students above 55 is,
For the score of 67,
Substitute 67 for
From the normal distribution table the area below the score of
The area between the mean and the score
Use the concept of symmetry, the area above the score of
The number of students below 67 is,
The number of students above 67 is,
For the score of 70,
Substitute 70 for
From the normal distribution table the area below the score of
The area between the mean and the score
Use the concept of symmetry, the area above the score of
The number of students below 70 is,
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