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Curve the sample of scores assuming grades are normally dist

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Consider this a sample of scores and let's curve these grades using the following approach:

Grades: 82,99,76,87,80,76,91,97,74,72,47,95,87,51,82,104,66,20,65,96,71,82,92,90,98, 68,67,83,94,98,74,84,90,35,92,101,77,96,100,49,98,82,105,104

1- Assume these grades are normally distributed
2- Give a C to the students in the middle 50%
3- Give a A to the students in the top 10%
4- Give a F to the students in the bottom 10%
5- Give the appropriate B and D to the remaining students

Draw a picture of a normal curve and determine the cutoff grades for an A,B,C,D, and F

Now, what do you think of this curving process? Is it benficial to most students? Why, or why not?

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