Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6

Answers

Answer 1

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.


Related Questions

can you help me with this, please?​

Answers

Answer:

its D i do belive

Step-by-step explanation:

Answer:

28in, 195in, 197in

Step-by-step explanation:

There's no "supereasy" way to solve it, except by computation or approximation.

e.g. 2 3 6 couldn't work, because 2+3 < 6 so it's not even a triangle

125^2 cannot equal 122^2 + 30^2, because 125^2 is odd and 122^2 and 30^2 are even

23^2 + 18^2 = 529 + 324 < 900 < 31^2

So it has to be the last one, and after verification we find it checks out and 28^2 + 195^2 = 197^2

Help pls it for math I’m doing a test and didnt take all notes help I will give the brainliest

Answers

Answer:

A:1/18 B:1/6 for 4 and 1/3 for red

Step-by-step explanation:

Lakota is planning on creating a gigantic flag to honor the greatness of the superintendent, Mr. Miller. The main part of the flag will be a gigantic picture of Mr. Miller’s face. The picture will be 12 meters by 16 meters. Around the outside will be a uniform border. The total area of the flag with the border will be a total of 285 square meters. Determine the width of the border that will be surrounding the picture of our great leader.
HURRY PLEASE

Answers

Answer:

285 square mwters

Step-by-step explanation:

length 16 meters X width 12 meters = 192

(Lx2x) (Wx2x)= 285

What is the value of u?

Answers

Answer:

4[tex]\sqrt{2[/tex]

Step-by-step explanation:

Jennifer's grandma bought her a $50 savings bond when she was born. When Jennifer is 30 years old, the bond will have earned 110% in interest. How much will the bond be worth when Jennifer is 30 years old?​

Answers

Answer:

105$

Step-by-step explanation:

We are told that she starts with 50$

We are also that after 30 years she earns 110% on interest

Given this information we need to find the value of the bond after the 30 years

To do so we take 110% of the initial value (50$) and add that to the initial value

So the answer = 110%(50) + 50

110%*50=55

55+50=105

So in 30 years the bond will be worth 105$

I please help me i need this I got to finished and haven even started nothing helppp me.....

Answers

Answer:

1. 60 degrees

2. 130 degrees

3. 55 degrees

4. 125 degrees

5. 45 degrees

6. 50 degrees

7. 138 degrees

8. 90 degrees

Given the functions f(x) = x^5 and g(x) = 8.2^x, which of the following
statements is true?

A: f(2)>g(2)
B: f(2) C: f(2)=g(2)

Answers

i’m guessing the answer is C

Does anyone know the answer to this?

Answers

Answer:

80°

Step-by-step explanation:

both triangles are scalene triangle and the have equal properties

angles in triangles sum up to 180°

30°+70° +D=180°

D=180-100=80°

First, find the length of CD correct to 2 decimal places.

Answers

Answer:

3.2CD

Step-by-step explanation:

Sarah's Surfboards charges a fee of $60 to rent a
surfboard and then $10.50 each hour
Sally's Surfboards doesn't charge a fee but they
cost $15.50 per hour
At how many hours will the cost be the same to rent
a surfboard for each shop?
A) 6 hours
B) 9 hours
C) 12 hours
D) 15 hours

Answers

Answer:C 12hours

Step-by-step explanation:

A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water can be put in ther pitcher

Answers

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

What is the volume of the cylinder? Use 3.14 for T.

Answers

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

Mai’s mother was 28 when Mai was born. Mai is now 12 years old.
How old will they be then?

Answers

Answer:

Mai is 12 and Mai's mother would be 40.

40 hope this helps..

What is the mean absolute deviation of team A’s scores? Show your calculation.
15,20,15 ,5,10,15,10,15,5,20.
The mean is 130.

Answers

Answer:

the mean is 13, i believe! good luck

Step-by-step explanation:

Use Substitution, what is the solution to the system 5x + y = 12 and 2x + Зу = -3

A (2,-3)
B (-3,3)
C (3,-3)
D (2,2)

Answers

Answer:

C

Step-by-step explanation:

Answer would be c sorry if wrong

Find area of triangle 15 ft and 18 ft

Answers

Answer:

hbb

2

Step-by-step explanation:

Help me with this math I gotta get some serious help

Answers

Answer:

C

Step-by-step explanation:

y=2/3x+2. I need help

Answers

2 is the y intercept and 2/3 is the slope.. if you need help graphing it go up 2 and over 3 continuously until you get a line.. hope this helps

Answer:

Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2

Step-by-step explanation:

if this helped subscribe to amiredagoat Yt

Jason spent half of his allowance going to the movies. He washed the family car and earned 8 dollars. What is his weekly allowance if he ended with 15 dollars? Giving the brainliest!!

Answers

Answer:

[tex]14[/tex] dollars.

Step-by-step explanation:

He washed the family car for $8, and he didn't spend it, correct?

[tex]15-8=7,[/tex] he spent half his allowance on the movies, correct?

[tex]7[/tex]×[tex]2=14.[/tex]

factor the expression using gcf 98-70​

Answers

Answer:

The Greatest Common Factor (GCF) for 70 and 98, notation CGF(70,98), is 14.

Step-by-step explanation:

can someone please explain, i really need help

Answers

Answer:

x = 42.5

Step-by-step explanation:

A triangle formed inside of a circle using the diameter as one of its side lengths is a right triangle

The right angle would be the angle opposite of the diameter (∠C)

A right angle has a measure of 90°

That being said we use this equation to solve for x

90 = 2x + 5

step 1 subtract 5 from each side

90 - 5 = 85

5 - 5 cancels out

now we have 85 = 2x

step 2 divide each side by 2

85/2=42.5

2x/2=x

we're left with x = 42.5

what is .175 as a fraction

Answers

Answer:

175/1000

Step-by-step explanation:

The last number of .175 is in the thousandth place, therefore, the denominator must be 1000, and .175, is 175/1000 of 1000.

If you want to simplify it all the way it would be 7/40.

7/40 would be the answer

Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas for $14.90 or 8 pounds of bananas for $12.08.

Part A
How much does each pound of bananas cost in each case?
Drag the tile with the cost of each pound to the correct box.
Each tile may be used once or not at all. And part b plz help

Answers

Each pound of bananas costs $1.49 when buying 10 pounds, and $1.51 when buying 8 pounds.

What is Pound?

The standard unit of money in the United Kingdom, equivalent to 16 ounces (or 0.454 kilograms), is used in most English-speaking countries. For more information, see measure. also known as the pound sterling.

According to question:

Let the cost per pound of bananas be represented by x. Then we can set up the following system of equations:

[tex]10x &= 14.90 \\8x &= 12.08[/tex]

Solving for $x$ in each equation, we get:

x = 14.9/10 =  1.49

x = 12.08/8 = 1.51

Therefore, each pound of bananas costs $1.49 when buying 10 pounds, and $1.51 when buying 8 pounds.

To know more about pounds visit:

brainly.com/question/29181271

#SPJ1

2 * m + n =

2 *(-2) + 3 = Sustituyendo el valor de cada letra.

-4 + 3 = -1

me ayudan porfa ​

Answers

Answer:

2xm+3=34

Step-by-step explanation:

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Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 +886 + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

Answers

Answer:

C. The ball was 4 feet above the ground when Mark hit it.

Step-by-step explanation:

After he hit the tennis ball into the air, the ball was 4ft above the ground.

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

PLS HELPP!
In the diagram, PQ←→ ∥ RS←→
, and transversal t
intersects both lines.

Select all the true statements.

∡1 ≅ ∡4
because they are vertical angles

∡1 ≅ ∡8
because they are alternate exterior angles

∡1 ≅ ∡5
because they are corresponding angles

∡1 ≅ ∡3
because they are alternate interior angles

Answers

Answer: First three is correct. Angle 1 = Angle 3 is incorrect.

Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7​

Answers

Answer:

A) y=2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

Can someone tell me if this is a adjacent ,vertical or linear

Answers

Answer:

linear

Step-by-step explanation:

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

sum of angles on a straight line is 180° thus linear angle is also be 180° when the two angles a and b combine

Danielle can spend up to $10 making a birthday card for her friend. The paper costs $2. The markers cost $3. She also wants to buy a pack of stickers. Sort the costs of different sticker sets as in or out of budget.

Answers

Answer:

sos i need the points thx

Step-by-step explanation:

Answer:

so in a summary she is going to spend 5 dollars on paper and markers.

so she will have 5 dollars to budget on a pack of stickers.

What is the volume of a sphere with a diameter of 7,5 cm, rounded to the nearest
tenth of a cubie centimeter

Answers

Answer:

179.59

Step-by-step explanation:

.........................

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