The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
Interquartile Range:
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
Range: 8 - 1 = 7
Variance:
We start by determining the mean,
[tex]\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57[/tex]
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.
[tex]\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571[/tex]
5.3
Standard Deviation
We take the square root of the variance,
[tex]\sqrt{5.28571} = 2.29906[/tex]
2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
the one above is right lol
Step-by-step explanation:
Simplify expression below (7 + i)-(6-4)
Answer:
5 + i
Step-by-step explanation:
Answer:
5+i is the answer
Step-by-step explanation:
cause 6-4=2-7=5+i
What is this trying to ask me ???
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
which one is weight?
1 kg stone
1 kg cotton
Answer:
1kg stone
Step-by-step explanation:
Answer:
1kg stone is heavy so it is weight
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.
26 I think (i'm not sure please correct me.)
What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
help plsss(+Brainliest too.)
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Answer:
the answer is 256
Step-by-step explanation:
Mark Me Brainliest Please.answer the questions below