La Suppose the midterm grades for 10 students are the following: 70, 65, 75, 80, 63, 90, 71, 75, 93, 83. Treat these data as sample data. Using R, show what happens to the variance of the grades if each of the following happens. Attach R code. (a) The teacher added 5 marks to everyone's grades. (b) The teacher subtracted 5 marks from everyone's grades. (c) The teacher multiplied everyone's grades by 5. (d) The teacher divided everyone's grades by 5.

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La Suppose the midterm grades for 10 students are the following: 70, 65, 75, 80,
63, 90, 71, 75, 93, 83. Treat these data as sample data. Using R, show what happens to
the variance of the grades if each of the following happens. Attach R code.
(a) The teacher added 5 marks to everyone's grades.
(b) The teacher subtracted 5 marks from everyone's grades.
(c) The teacher multiplied everyone's grades by 5.
(d) The teacher divided everyone's grades by 5.
26
What happens to the variance of a set of scores if
(a) A constant a is added to each score in the set?
(b) A constant a is subtracted from each score in the set?
(c) Each score is multiplied by a constant a?
(d) Each score is divided by a constant a?
Transcribed Image Text:La Suppose the midterm grades for 10 students are the following: 70, 65, 75, 80, 63, 90, 71, 75, 93, 83. Treat these data as sample data. Using R, show what happens to the variance of the grades if each of the following happens. Attach R code. (a) The teacher added 5 marks to everyone's grades. (b) The teacher subtracted 5 marks from everyone's grades. (c) The teacher multiplied everyone's grades by 5. (d) The teacher divided everyone's grades by 5. 26 What happens to the variance of a set of scores if (a) A constant a is added to each score in the set? (b) A constant a is subtracted from each score in the set? (c) Each score is multiplied by a constant a? (d) Each score is divided by a constant a?
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