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The mean for the first seven weeks is given:
The median for the first seven weeks is given by the middle value of the data after being set in ascending order
277 481 647 684 712 770 853
The middle value is the 4th value, so Median = 684
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Assuming Jerry wins the price for the 8th week, the new mean is given
The new Median is now located between the 4th and 5th value, which is the mid value between 684 and 712.
A quick way to work this out is (684+712)÷2 = 698
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The increase in mean is 1803-632 = 1171
The increase in Median is 698 - 684 = 14
Correct answer is d
The median for the first seven weeks is given by the middle value of the data after being set in ascending order
277 481 647 684 712 770 853
The middle value is the 4th value, so Median = 684
----------------------------------------------------------------------------------------------------------------
Assuming Jerry wins the price for the 8th week, the new mean is given
The new Median is now located between the 4th and 5th value, which is the mid value between 684 and 712.
A quick way to work this out is (684+712)÷2 = 698
---------------------------------------------------------------------------------------------------------------
The increase in mean is 1803-632 = 1171
The increase in Median is 698 - 684 = 14
Correct answer is d