The average score on a test taken by 200 students is 80 and standard deviation is 10. if each student's score is increased by 5, what would be the new mean and standard deviation
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Answer:
If each student's score is increased by 5, the mean would become 85 while the standard deviation would remain the same as 10.What is a mean?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. How to calculate the mean of a test?Mathematically, the mean for this test can be calculated by using the following formula:Mean = [F(x)]/nIf each student's score is increased by 5, the mean would become:Mean = [F(x)]/200 + 5Mean = 80 + 5Mean = 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.Read more on mean here:
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