Answer:
Mean = 75
Median = 73.5
Mode = 95
Range = 36
Step-by-step explanation:
Given:
Sort:
To find:
Mean:
![\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7B1%7D%7Bn%7D%5Csum_%7Bi%20%3D1%7D%5En%20x_i%20%3D%20%5Cdfrac%7Bx_1%2Bx_2%2Bx_3%2B...%2Bx_n%7D%7Bn%7D%7D)
Sum of all data divides by amount.
![\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7B59%2B60%2B70%2B77%2B89%2B95%7D%7B6%7D%3D%5Cdfrac%7B450%7D%7B6%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%20%5Clarge%7B%5Ctherefore%20mean%3D75%7D)
Therefore, mean = 75
Median:
If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:
![\displaystyle \large{\dfrac{x_1+x_2}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%7D)
From 59,60,70,77,89,95, since 70 and 77 are in middle:
![\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7B70%2B77%7D%7B2%7D%20%3D%20%5Cdfrac%7B147%7D%7B2%7D%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B%5Ctherefore%20median%20%3D%2073.5%7D)
Therefore, median = 73.5
Mode:
The highest value or/and the highest amount of data. Mode can have more than one.
From sorted data, there are no repetitive data nor same data. Consider the highest value:
Therefore, mode = 95
Range:
or highest value - lowest value
Thus:
![\displaystyle \large{95-59 = 36}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B95-59%20%3D%2036%7D)
Therefore, range = 36
![13x+15=11x-25 \\ \\ 13x-11x=-25-15 \\\\ 2x=-40 \\\\ \boxed{x=-\frac{40}{2}=-20}](https://tex.z-dn.net/?f=13x%2B15%3D11x-25%20%5C%5C%20%5C%5C%2013x-11x%3D-25-15%20%5C%5C%5C%5C%202x%3D-40%20%5C%5C%5C%5C%20%5Cboxed%7Bx%3D-%5Cfrac%7B40%7D%7B2%7D%3D-20%7D)
You pass the free terms wich don't contain 'x' in the othe part of the equal with changed signe ans the same for the terms wich contain x.
Answer:
6 11/24
Step-by-step explanation:
Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa
Answer:
x =20
Step-by-step explanation:
As a line is 180 degrees
So 7x + 40 would be 180, which would lead us with the equation:
7x+40=180
=7x =140 (minus both sides by 40)
=x =20 (divide both sides by 7)