Is mean affected by outlier
2 answers:
Answer with explanation:
Mean of a data set is defined as sum of all the observation divided by total number of observation.
For, example
Consider the Data set,the cost of five pens,={3,5,8,10,14}
Mean
Now, Two pens having cost $ 47 and $ 53 is included in the Data set
New data set of Seven pens,={3,5,8,10,14,47,53}
Mean
So, you can see there is variation or Difference between two means.
We can conclude from above two results ,that mean is affected by outlier.
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<u><em>Answer:</em></u>
Area of the polygon = 59 in²
<u><em>Explanation:</em></u>
From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle
<u>Therefore:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>1- getting the area of the upper triangle:</u>
<u>We have:</u>
base of triangle = 7 in
height of triangle = 6 in
<u>Therefore:</u>
Area of upper triangle = in²
<u>2- getting the area of the side triangle:</u>
<u>We have:</u>
base of triangle = 4 in
height of triangle = 5 in
<u>Therefore:</u>
Area of upper triangle = in²
<u>3- getting the area of the rectangle:</u>
<u>We have:</u>
length of rectangle = 7 in
width of rectangle = 4 in
<u>Therefore:</u>
Area of rectangle = length x width = 7 x 4 = 28 in²
<u>4- getting the total area of the polygon:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>Therefore:</u>
Area of polygon = 21 + 10 + 28 = 59 in²
Hope this helps :)