Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Answers

Answer 1

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30


Related Questions

Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!

Answers

Answer:

Number cube, 5, and 3/16

Someone please help and choose correct answer

Answers

Answer:

The equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

Step-by-step explanation:

We need to write equation of line that passes through point (2,-1) and has a slope of -3

The equation is written in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We are given slope: m = -3

We need to find y-intercept (b)

Using the point (2,-1) and slope m=-3, we can find y-intercept

[tex]y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5[/tex]

So, we get y-intercept b = 5

Now, the required equation having slope m =-3 and y-intercept b = 5 will be:

[tex]y=mx+b\\y=-3x+5[/tex]

So, the equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

PLEASE HELP!!!!! I'LL MARK BRAINLIEST Which table represents a linear function with a greater y - intercept than that of the function represented in the graph?

A. X Y
0 3
6 -39

B. X Y
-2 0
0 0

C. X Y
0 5
5 -45

D. X Y
-2 1
0 4

E. X Y
0 -7
4 11


Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:the answer is c mark me brainiest remember  

Step-by-step explanation:

how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

Answers

Answer:

[tex]y = -2[/tex]

Step-by-step explanation:

Given

Horizontal Line

[tex](x_1,y_1) = (4,-2)[/tex]

Required

Determine the equation

The equation is calculated using:

[tex]y - y_1 =m(x-x_1)[/tex]

Where

[tex]m = slope[/tex]

Because the line is a horizontal line, then:

[tex]m = 0[/tex]

Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]

[tex]y - (-2) = 0(x -4)[/tex]

[tex]y +2 = 0(x -4)[/tex]

[tex]y +2 = 0[/tex]

Subtract 2 from both sides

[tex]y +2-2 = 0-2[/tex]

[tex]y = -2[/tex]

Hence, the equation is: [tex]y = -2[/tex]

Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x

Answers

This question is incomplete, the complete question is;

Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x  = 69.5.

Round your answer to two decimal places.

Answer: the z-score is -0.80

Step-by-step explanation:

Given that;

mean μ = 73.4

standard deviation σ = 4.9

x = 69.5

z-score = ?

z = (x - μ) / σ

we substitute

z =  (69.5 - 73.4) / 4.9

z = -3.9 / 4.9

z = - 0.7959 ≈ -0.80    { 2 decimal places }

Therefore, the z-score is -0.80

2/3 x 2/8 in the simplest form

Answers

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{2}{8} = \frac{2 \times 2}{3 \times 8} = \frac{4}{24} [/tex]

Lets divide the numerator and denominator with 4.

[tex] = > \frac{4 \div 4}{24 \div 4} = \frac{1}{6} [/tex]

Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.

Answers

Congruent
An angle
Sides
Proportional
Similar

please help me asap ​

Answers

Answer:

The answer to the question provided is 53°.

What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)

Answers

Answer:

52% of the shape is green

Step-by-step explanation:

13 out of 25 blocks are shaded green = 13/25

13/25 = 52%

Round 8,723 to the nearest thousand

Answers

Answer:

9,000

Step-by-step explanation:

What is the solution to −6x−4≥−2(x−4) ?

x≤−3

x≥3

x≥2

x≤−1

Answers

Answer:

The correct answer is: Option 1: x≤-3

Step-by-step explanation:

Given inequality is:

[tex]-6x-4\geq -2(x-4)[/tex]

First of all, we will distribute -2 into the bracket

[tex]-6x-4\geq -2x+8[/tex]

Then we will add 4 on both sides

[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]

Adding 2x on both sides

[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]

Dividing both sides by 4

[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]

As there should be only x on the left side of the inequality we will multiply the inequality with -1.

Multiplying the inequality with -1 reverses the sign of inequality

So,

[tex]x \leq -3[/tex]

Hence,

The correct answer is: Option 1: x≤-3

The shaded areas show the fraction of each of four shelves in a toy store that are stocked with toys and games.

Which mixed number represents the amount of shelf space that is filled?

I need an answer ASAP and pls explain I gotta pass this test

Answers

Answer:

2 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

(10 points, Giving brainliest to correct answer) Need in a couple hours

Congruence

Answers

Answer:

SSA (or AS*)

Step-by-step explanation:

SSA cannot booe used

just remember that

5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.

Answers

Answer:

The greatest common factor of 6x(z + 14)+(z + 14) is 1

and if you want it in factored form it is (z + 14)(6x + 1)

3. A number increased by 5 and divided by 2 is equal to 75. What is the number?

Answers

Answer:

633

Step-by-step explanation:

1: The temperature is -2

​∘C

. If the temperature rises by 15

​∘C

, what is the new temperature? (Draw a number line to help)- The temperature is -2 c. If the temperature rises by 15 c, what is the new temperature? Answer {You would do 15c takeaway -2c This would equal to the new temperature as being 13c.}






2: At midnight the temperature is - 6

​∘C

. At midday the temperature is 9

​∘C

. By how much did the temperature rise? (Draw a number line to help)- 15° Celcius {You can add from -6 +1 till you get to 0 then add the rest of the numbers and it will exactly be 15.}






3:Draw a number line to help you with what the final temperature is.

Then write an addition expression that represents the final temperature.

(Hint: Start temp + movement amount = final temperature )


The temperature was and then fell .


__________ + _________ = __________




The temperature was and then rose .


__________ + __________ = __________




The temperature was and then fell .


__________ + __________ = __________



THIS HELP WITH THE LAST QUESTION THIS WILL MEAN ALOT :( FILL IN THE BLANKS!!!

Answers

Answer:

For 1. it's 13 degrees 2. For B it is 15 degrees.

Step-by-step explanation:

thats all i could really answer you should try separating this a little more

Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?

Answers

Answer:

372/12=31

31mpg

Step-by-step explanation:

Alex's car drove 31 milesnper gallon of gasoline

Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11(4-1)

Step-by-step explanation:

11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms

44/11=4

11/11=4

Therefore the answer is 11(4-1)

Which of the binomials below is a factor of this trinomial?
x² + 5x-36

Answers

Answer:

A. x + 9

Step-by-step explanation:

x² + 5x - 36 = (x + 9) (x - 4)

PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS

Answers

Answer:

C: Two solutions

Step-by-step explanation:

If you try to solve the problame you can find to solution's

Hope this Help's

Answer:

lol too bad laurenercsp6fpli

Step-by-step explanation:

Harry makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approximately what percentage of the punch is cranberry juice?

Answers

Answer:

37.5%

Step-by-step explanation:

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.

3/20

Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply  the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.

3/20 = 0.15 x 100 = 15%

I GIVEEE BRAINLILSTTT

Answers

Answer:

edfsefesfwefwefwf

Step-by-step explanation:

fwefewfweefwefwefwefewfwefwefwefwef

What fraction of an hour is 51 minutes?
Give your answer in its simplest form.

Answers

Answer:

0.850

Step-by-step explanation:

fraction = given time / total time in 1 hour

=51/60

The answer is: 0.850

Given:
g(x) = 5 – 6x
Find:
g(5)

Answers

let's start by substituting 5 for x
g(5) = 5 - 6(5)
g(5) = 5 - 30
g(5) = -25

Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).

a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).

Answers

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + αt + αt ²

q(t) = β₀ + βt + βt ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + αt + αt ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³)

… = c₀ + ct + ct ² + ct ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

what is the graph in slope intercept form

Answers

Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

Step-by-step explanation:

Answer:

Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.

Step-by-step explanation:

I GIVEEEE BRAINLILST

Answers

Answer:

its a scale factor of 4

Step-by-step explanation:

Tina is going for a bike ride. When she leaves her house, she starts pedaling and her speed steadily increases. As she approaches the stop sign at the end of her street, she slows down at a steady pace until she comes to a complete stop. After waiting at the stop sign for her turn to go, she starts pedaling again and her speed steadily increases at a slower pace than when she first left her house. She reaches a comfortable speed and rides at this speed until she approaches another stop sign, causing her to steadily slow down until she again comes to a complete stop.

Answers

Answer:

1

Step-by-step explanation:

1212112

if im a bot, then, what are you?-

Answers

A hallucination;))))))
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