Some measures I believe you are talking about are mean, median, mode, and range.
Mean is the average of all values. This is found by adding up all numbers and dividing by the amount of numbers. Outliers greatly affect and "throw off" the mean, making it inaccurate at calculating the average without an outlier.
Example:
1, 2, 4, 6, 10
(1 + 2 + 4 + 6 + 10)/5 = mean = 4.6
1, 2, 4, 6
(1 + 2 + 4 + 6)/4 = mean = 3.25
Because of this, mean does change when adding and removing outliers, and is therefor not the answer.
Median is the middle of the data. This is found by ordering the values in the data set from least to greatest (or greatest to least, either one works) and finding the number in the center of all the values. If there were an outlier, the median wouldn't be skewed as the mean is by outliers, but it would change.
Example:
1, 2, 4, 6, 10 Median = 4
1, 2, 4, 6 Median = 3
So median is not the answer, because it is affected by adding and removing outliers.
Mode is the value in a data set that appears the most. Outliers are numbers that are significantly lower or higher than most or all of the other numbers in a data set. Because of this, there can't be more outliers than other numbers, so it is impossible for the mode to be an outlier.
Example:
1, 1, 1, 2, 3, 4, 4, 86 Mode = 1
1, 1, 1, 2, 3, 4, 4 Mode = 1
This means the mode is not affected by adding and removing outliers.
Mode is a possible answer, but let's take a look at range before coming to a conclusion.
Range is the spread of values in a data set. In other words, the difference between the highest and lowest value. A high range can signal a possible outlier is present.
Example:
1, 2, 4, 6, 10
10 - 1 = highest value - lowest value = range = 9
1, 2, 4, 6
6 - 1 = highest value - lowest value = range = 5
The range is certainly affected by outliers, so it is not the answer.
Out of mean, median, mode, and range, the answer to this question is mode.
If an outlier is removed, mode will not change.
Hope this helps!
The surface area is 870 cm².
Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:
60/4 = 15
To find the area, we square the side length:
15² = 225
There are two bases, so the area of these is 2(225) = 450
There are 4 lateral faces, so the lateral area is 4(105) = 420
Together, this gives us a total surface area of 870.
Answer:
Step-by-step explanation:
We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.
ax^2 + bx + c
so
a=4
b=-9
c=2
you can try it by hand or use this:
https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php
you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)
so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis
Use one of those random apps search the question up and the first link should tell you I guess it depends
