If each student's score is increased by 5, the mean would become 85 while the standard deviation would remain the same as 10.
A mean is also referred to as arithmetic average and it can be defined as a ratio of the sum of the total number in a data set to the frequency of the data set.
Mathematically, the mean for this test can be calculated by using the following formula:
Mean = [F(x)]/n
If each student's score is increased by 5, the mean would become:
Mean = [F(x)]/200 + 5
Mean = 80 + 5
Mean = 85.
Therefore, if each student's score is increased by 5, the mean would become 85.
However, the standard deviation would remain the same as 10 because the distance between each score is unaffected by the increase.
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