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felippemed
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Median of 19, 24, 27, 29 and 31 is 27 (middle value in the list)

Mean = (19+24+27+29+31) / 5 = 130/5 = 26

Difference = 27-26 = 1
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To find the Median, first of all arrange the data in ascending or descending order

(19,24,27,29,31) Median value is the middle value of the series

Median = 27

Mean= \(\frac{(19+24+27+29+31)}{5}\)= 26

Difference between Median and Mean = 27 - 26= 1

Answer: A.

Kudos please if you like my explanation!
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Abhishek009 VeritasPrepKarishma Bunuel Engr2012


Quote:
Mean= \(\frac{( 31 + 27 + 29 + 24 + 19 )}{5} = 26\)


There is no shortcut to this? for eg: for AP, ,mean = \(\frac{(first term + last term)}{2}\)
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felippemed
For the 5 days shown in the graph, how many kilowatt-hours greater was the median daily electricity use than the average (arithmetic mean) daily electricity use?

A) 1
B) 2
C) 3
D) 4
E) 5


Listing the numbers from smallest to largest, we have: 19, 24, 27, 29 and 31. So 27 is the median. The average is (19 + 24 + 27 + 29 + 31)/5 = 130/5 = 26. Therefore, the median exceeds the average by 1.

Answer: A
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This is what I did, not sure if its faster:

27-(27+((-4+-2+0+3+8)/5)) = (-6+11)/5 = 1

The median is 27, and I took the base as 27.

To get the mean , you can find the average of the differences of each of the other terms from the base to the base.
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