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If the list of integers from 1 to 10 is multiplied by 3, the median of the new list will be how many times the average

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by VJesus12 » Fri Dec 11, 2020 2:15 am

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If the list of integers from 1 to 10 is multiplied by 3, the median of the new list will be how many times the average of that new list?

A. 1/3
B. 1
C. 3
D. 9
E. 27

Answer: B

Source: Economist
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Source: — Problem Solving |

VJesus12 wrote:
Fri Dec 11, 2020 2:15 am
If the list of integers from 1 to 10 is multiplied by 3, the median of the new list will be how many times the average of that new list?

A. 1/3
B. 1
C. 3
D. 9
E. 27

Answer: B

Solution:

When the list of integers from 1 to 10 is multiplied by 3, the new list of integers is 3, 6, 9, …, 30. We see that this new list is an evenly spaced set; therefore, the median is equal to the average. In other words, the median is 1 times the average.

Answer: B

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