The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,
![\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57](https://tex.z-dn.net/?f=%5C%3A1%2B%5C%3A2%2B%5C%3A3%2B%5C%3A3%2B%5C%3A3%2B%5C%3A5%2B%5C%3A8%20%2F%207%20%3D%203.57)
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
![\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571](https://tex.z-dn.net/?f=%5Csum%20_%7Bi%3D1%7D%5En%5Cfrac%7B%5Cleft%28x_i-%5Cbar%7Bx%7D%5Cright%29%5E2%7D%7Bn-1%7D%2C%5C%5C%5C%5C%3D%3E%20SS%2Fn%20-%201%5C%5C%5C%5C%3D%3E%2031.714%2F7%20-%201%5C%5C%3D%3E%205.28571)
5.3
<u>Standard Deviation</u>
We take the square root of the variance,
![\sqrt{5.28571} = 2.29906](https://tex.z-dn.net/?f=%5Csqrt%7B5.28571%7D%20%3D%202.29906)
2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
C) x=1
Step-by-step explanation:
The given equation is :
6^2x-3 = 6^-2x+1
In such type of equations where the base value is same on both the sides of the equation we can directly equate their powers. As on both the sides the base value is same i.e 6.
So, equating the power of 6
![2x-3 = -2x+1](https://tex.z-dn.net/?f=2x-3%20%3D%20-2x%2B1)
![4x=4](https://tex.z-dn.net/?f=4x%3D4)
![x=1](https://tex.z-dn.net/?f=x%3D1)
By solving the equation we get x=1.
Answer:
she earn a total of $ 45 from the eggs she sold
Step-by-step explanation:
First we have to calculate how many dozen eggs he sold
for this we will multiply the number of total dozens by the 5/6 that sold
12 * 5/6 = 10
She sold 10 dozen eggs
each dozen eggs comes out $4.50 so we multiply the number of dozens of eggs that sold (10) by the price of each ($4.50) and we will get the money that was obtained from the sale
$4.50 * 10 = $45
she earn a total of $ 45 from the eggs she sold
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation: