To answer this question let's remember the definitions of the mean and the median.
The mean is defined as the sum of all the values is the data set divided by the number of values we have in the data set, that is:
On the other hand, the median is defined as the central number of the data set, that is, it the number that divides the ordered data set in two subsets of equal length.
From this definition we conclude that the mean is more affected by outliers; this comes from the fact that for this central tendency measure we need to add the values and hence the outliers will affect this sum.
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:
As the slope-intercept form of the line is
putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.
So putting and in the slope-intercept form of the line
Therefore, the equation for the linear function will be:
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Step-by-step explanation:
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