Dgc= 42 Exercise 2.3. (a) In a class, every student received a grace score of DG

Question

Dgc= 42 Exercise 2.3. (a) In a class, every student received a grace score of DGC- th .marks. How does is affect the average score? How does this affect the standard deviation of the scores? (b) Is the sample median always equal 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- Help the teacher by computing the correct score of the class. instead of 56 and 85 instead of Doo.... value.

Explanation / Answer

a) As all the scores are same, average will also be same and variance will be zero.

Average score = 42

Standard deviation = 0

b) Median will also be 42. Because all scores are 42.

c) Total score = 15 * 78 = 1170

Subtracting the wrong data and adding correct data to the sum = 1170 - (42 + 85) + (56 + 42) = 1141

So new average score = 1141/15 = 76.1

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