does Exercise 2.3. (a ) In a class, every student received a grace score of this
ID: 3329823 • Letter: D
Question
does Exercise 2.3. (a ) In a class, every student received a grace score of this affect the average score? How does this affect the standard deviation of the scores? DGC-....marks. How I to one of the values in the sample? If so, explain why? If not, give an example. ( c ) In a class of 15 students, the average score is 78· Later, the teacher found that he made mistakes by typing the value of DGC..... instead of 56 and 85 instead of DGC-.... value. Help the teacher by computing the correct score of the class.Explanation / Answer
2.3)
a) DGC = 45
giving everyone grace marks will increase average marks of 45
the standard deviation will remain same
b)
No , in case of total number of sample being even , it may not be possible
say data is
3,4,6,8
it is sorted , hence median = (4+6)/2 = 5 which is not in the sample
d)
total number = 15 , average = 78
45 instead of 56 and 85 instead of 45
Sum of wrongly calculated sample = 15*78 = 1170
Sum of right calculated sample = 1170 +56-45+45-85=1170 +56 -85 = 1141
hence actual average = 1141/15 = 76.06666
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