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If 5 points were added to each score, which of the following would N
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28 Jul 2021, 10:40
28 Jul 2021, 10:40
Expert Reply
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Question Stats:
68% (00:39) correct
31% (00:40) wrong based on 16 sessions
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If 5 points were added to each score, which of the following would NOT be affected?
(A) The highest score
(B) The mean for all scores
(C) The median for the seniors’ scores
(D) The mode for the juniors’ scores
(E) The standard deviation for all scores
If 5 points were added to each score, which of the following would N
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28 Jul 2021, 18:42
28 Jul 2021, 18:42
If 5 points were added to each score, which of the following would NOT be affected?
Solution:
(A) The highest score----> If we add 5 to the old highest score the resulting score will also increase by 5. Thus there will be a change in the score- OUT
(B) The mean for all scores----> ----> As only the total score increase by 5 and the total number of students remain the same the mean will also have a proportionate increase- OUT
(C) The median for the seniors’ scores----> - We do not know the median for the senior's score. But if we add 5 the scores will surely rise- OUT
(D) The mode for the juniors’ scores----> - Similar to option C -OUT
(E) The standard deviation for all scores----> - An important thing to note about SD is if any value is add or subtracted to every score the standard deviation remains the same- Thus this is the correct answer
IMO E
Hope this helps!
Solution:
(A) The highest score----> If we add 5 to the old highest score the resulting score will also increase by 5. Thus there will be a change in the score- OUT
(B) The mean for all scores----> ----> As only the total score increase by 5 and the total number of students remain the same the mean will also have a proportionate increase- OUT
(C) The median for the seniors’ scores----> - We do not know the median for the senior's score. But if we add 5 the scores will surely rise- OUT
(D) The mode for the juniors’ scores----> - Similar to option C -OUT
(E) The standard deviation for all scores----> - An important thing to note about SD is if any value is add or subtracted to every score the standard deviation remains the same- Thus this is the correct answer
IMO E
Hope this helps!
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