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If a new data point at 12 is added to the graph, which
will be true?
O The mean will increase, and the median will stay the
same.
O The median will increase, and the mean will stay the
same.
O The mean will increase more than the median, but
both will increase.
O The median will increase more than the mean, but
both will increase.
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User Andy Lowry
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4 votes

Answer: Choice C

The mean will increase more than the median, but both will increase.

===================================================

Step-by-step explanation:

The original set is {1,2,3,4,5,6,7}

The mean is found by adding up the values and dividing by the number of values 7. The items add up to 1+2+3+4+5+6+7 = 28, so the mean is 28/7 = 4.

The median is the middle-most value. Cross off the first and last values to get the smaller subset {2,3,4,5,6}. Repeat again to get {3,4,5} and it should be clear that 4 is the median.

mean = 4

median = 4

--------------

Now let's introduce the value "12"

The set is {1,2,3,4,5,6,7,12}

mean = (1+2+3+4+5+6+7+12)/8 = 40/8 = 5

median = 4.5 since it is halfway between the middle-most items 4 and 5

Both mean and median have increased. The mean has increased more.

User Supa
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