Ms Almquist wants to know how long it takes students to read a chapter. She timed how long it took kids to read a chapter during class. The data points are shown below in mins. 12,15,14,10,42,16,13 Which measure of center would be most affected by the outlier of 42 min? Is it A median B mode C mean D range I will give you 100 points plz

Answers

Answer 1

Answer:

range ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- Outlier an extreme value in a set of data which is much higher or

 lower than the other numbers

- Outliers affect the mean value of the data but have little effect on the

 median or mode of a given set of data

* Lets solve the problem

∵ The data are 10 , 12 , 13 , 14 , 15 , 16 , 42

∵ The median is the middle number of the set of data

∵ The middle number is 14

The median is 14

- If we remove the outlier then:

∴ The median will be the average of the two middle numbers 13 , 14

The median = (13 + 14)/2 = 13.5

∵ The mean is the average, where you add all the numbers and then

  divide the sum by the number of numbers

∵ The sum = 10 + 12 + 13 + 14 + 15 + 16 + 42 = 122

∵ They are 7 numbers

The mean = 122/7 = 17.43

- If we remove the outlier then:

∴ The sum = 122 - 42 = 80

The mean = 80/7 = 11.43

∵ The range is the difference between the greatest and the

  smallest values of the data set

∵ The greatest value is 42 and the smallest value is 10

The range = 42 - 10 = 32

- If we remove the outlier then:

The range = 16 - 10 = 6

* The range is the most affected by the outlier


Related Questions

Which of the following numbers is greatest, or furthest to the right on the number line? {56, 39, 74, 81, 62}

Answers

The greatest number is 81

Answer:

Greatest vales is 81 which furthest to right on number line.

Step-by-step explanation:

Given  :  {56, 39, 74, 81, 62}.

To find : Which of the following numbers is greatest, or furthest to the right on the number line?

Solution : We have given {56, 39, 74, 81, 62}.

We know that on the number line left side from the zero is negative values and right sides of zero are positive values.

As we move forward in right sides vales increaes.

Lesser vales come at left and greater values comes at right.

39 ,56 ,62 ,74 ,81.

Greatest vales is 81 which furthest to right on number line.

Therefore, Greatest vales is 81 which furthest to right on number line.

A planter in the shape of a cube has a volume of 1000in3 is the area of the base of the cube greater than or less than 1 square foot?explain

Answers

The cube volume is 10x10x10 inch3, so the base area is 10 inch x10 inch. On the other hand, we know that 1 square foot = 1 foot x 1 foot = 12 inch x 12 inch, so that is  *greater* than the cube base.

Answer:

area of the base of the cube is smaller than 1 square foot

Step-by-step explanation:

since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}

which is equal to 10 in

now, we know that area of the base of the cube will have an square cross section area= side^2

there area of base of the cube = 10^2= 100 sq in

now 1 foot= 12 in

therefore, 1 square foot = 12*12 square in = 144 sq in

clearly, area of the base of the cube is smaller than 1 square foot.

hope you liked the explanation.

In a certain county, the number of charter schools is 6 less than twice the number of alternative schools. We know that there are 52 charter schools in the county. How many alternative schools are in the county? (1 point)


44

23

29

58

Answers

The answer is 29.

The equation is 2x - 6 = 52

Reverse the operation;

52 x 2 = 104

104 - 6 = 98


So, there 98 alternative schools in the county.

There are 104 students in the fourth grade at Allison’s school one day 15 fourth-graders were absent how many fourth graders were at school that day

Answers

If you have 104 students in the beginning and then 15 are absent, that's as simple as saying 104 - 15.


And 104 - 15 = 89

This is what the problem looks like: 104 - 15 = ?

Your answer is 89.

help plsss❤️❤️ thankyou

Answers

For this case we have an expression of the form:

[tex]a + b (x-c)\\[/tex]

We then define the following variables:

a: represents the base salary

b: is the percentage of sales commissions

c: It is a cutoff point to obtain or not commission.

If x> c: you get commission

If x ≤ c: you do not get commission

Thus, x represents the amount of sales made above $ 300.

Answer:

option 1

I need help on this please

Answers

Answer: A) It will have the same measure as the original angle

Step-by-step explanation:

When reflected, the angle will be the same. Essentially, reflecting is just like using a mirror. When you reflect something, or look in the mirror, it is the same only flipped. For this problem here, that would be the case. You are simply flipping the angle over the y-axis, therefore everything stays the same except the direction it faces.

Anne gave birth to a pair of mice. The female gave birth to eight mice, four male and four female. The five females gave birth to eight more mice, four male and four female. If this happens again, how many males would Anne have?

Answers

If Anne gave birth to four males and four females, and they all gave birth the same way again, they would have eight males, but if it were to happen again, there would be 12 males and 12 females in total if you don't count all of the females giving birth EACH to four males and four females. Otherwise it would be 40 males, and 40 females.

24 male mice trick question

two-thirds of a number decreased by twelve

Answers

do you mean how do you write it? If so, 2/3x-12

Choose the correct solution and graph for the inequality
Z+1/8>1/5

X<13/40
Z<3/40
Z>13/40
Z<3/40

Answers

Here is your inequality:

[tex]z + \frac{1}{8} > \frac{1}{5}[/tex]

You're looking for z. To do that, you need to remove everything on the same side of z. The only thing with z is positive [tex]\frac{1}{8}[/tex] . To remove it, you need to do the opposite of it, which is negative [tex]\frac{1}{8}[/tex], which is the same as subtracting [tex]\frac{1}{8}[/tex]. Subtract:

[tex]z+\frac{1}{8} - \frac{1}{8} > \frac{1}{5} - \frac{1}{8} \\ \\z = \frac{1}{5} - \frac{1}{8}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from [tex]\frac{1}{5}[/tex]. Since they have a different denominator(bottom number in a fraction), change them into fractions with common denominator. To find a common denominator, list the multiples of both numbers and see what is common.

[tex]5 - 5, 10, 15, 20, 25, 30, 35, 40, 45 \\8- 8, 16, 24, 32, 40, 48[/tex]

In the numbers listed above ↑, the only common multiples is 40. That means you need to change both fractions so that they both have a denominator of 40.

[tex]\frac{1 \times 8}{5 \times 8} = \frac{8}{40}[/tex]

[tex]\frac{1 \times 5}{8 \times 5} = \frac{5}{40}[/tex]

Here is your new equation:

[tex]z> \frac{8}{40} - \frac{5}{40}[/tex]

Subtract:

[tex]\frac{8}{40} - \frac{5}{40} = \frac{3}{40} \\\\z> \frac{3}{40}[/tex]

Your answer is z > [tex]\bf \frac{3}{40}[/tex]

If you have any questions, feel free to ask in the comments! :)

GRAPH:
Final answer:

To solve the inequality z + 1/8 > 1/5, subtract 1/8 from both sides to isolate z. The solution to the inequality is z > 3/40. Graphically, represent the solution set by shading all values greater than 3/40 on a number line.

Explanation:

To solve the inequality z + 1/8 > 1/5, we need to isolate z. First, we subtract 1/8 from both sides of the inequality: z + 1/8 - 1/8 > 1/5 - 1/8. This simplifies to z > 3/40. Therefore, the correct solution for the inequality is z > 3/40.

To graph this inequality on a number line, we draw an open circle at 3/40 and shade all the values greater than 3/40 to the right. This represents the solution set of the inequality.

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Convert the decimal 3.88888 to a fraction

Answers

As a fraction it would be 388888/100000.

The fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]

FractionA fraction represents a part of a whole or, more generally, any number of equal parts.In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator

How to solve this problem?

The steps are as follow:

Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCFStep 4: Simplify the remaining fraction to a mixed number fraction if possible.So the 3.88888 can be written as in fraction as following:

[tex]3.88888= \frac{3.88888}{1}\\ \frac{3.88888}{1} * \frac{100000}{100000} \\ \frac{388888/8}{100000/8} = \frac{48611}{12500}\\ 3\frac{11111}{12500} \\\\3.88888=3\frac{11111}{12500}[/tex]

So the fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]

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HELP PLEASE. DON'T BAIL OUT! 60 POINTS!

THIS ISN'T A MULTIPLE CHOICE QUESTION
THIS ISN'T A MULTIPLE CHOICE QUESTION

(a), (b), and (c) are equations you need to solve, and then tell if it has an infinite number of solutions, one solution, or no solutions.

Please don't be blind and read it carefully! I've already wasted 120 points in the past 20 minutes.

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.

(a) 3x - 5 + x = 2x - 3 + 2 + 2x
(b) 4x + 5 - 6x = -x +3 -x +2
(c) 8x + 2 - 6 = 4x +8 +3x

Answers

Answer:


Step-by-step explanation:

Problem A

3x - 5 + x = 2x - 3 + 2 + 2x

Bring like terms close to each other so they can be combined on both the  left and right sides.

3x + x - 5 = 2x+ 2x - 3 + 2      Combine like terms

4x - 5 = 4x - 1                          Stop. Nothing more is going to work and give you anything but  No Solution. You will wind up with - 5 = - 1 which is a contradiction.

Number of Solutions: None

Classification:  Contradiction  

Problem B

4x + 5 - 6x = -x + 3 - x + 2 Bring like terms close to each other so they can be combined on both the  left and right sides.

4x - 6x + 5 = -x - x + 3 + 2

-2x + 5 = - 2x + 5               Stop!!!

This will give an infinite number of solutions. Suppose x = 200. Then you will get

-2*200 + 5 = -2 * 200 + 5

- 400 + 5 = - 400 + 5

- 395 = - 395   No matter what you use, the same thing will happen. The equation is an identity. Identities are really useful when you are checking equations. The left side should always come out to be the right side.

Number of Solutions: Infinite

Classication: Identity.

Problem C

8x + 2 - 6 = 4x +8 +3x     Bring like terms close to each other so they can be combined on both the  left and right sides.

8x + 2 - 6 = 4x + 3x + 8     Combine like terms.

8x - 4 = 7x + 8                    Subtract 7x from both sides

8x - 7x - 4 = 7x - 7x + 8      Combine like terms

x - 4 = 8                               Add 4 to both sides

x = 4 + 8

x = 12

Solutions: 1

Classification: Neither. But it is actually classified as a conditional equation if it has 1 legitimate solution.

Note: I really hope I have not wasted your points.


Mr.turner bought x boxes of pencil. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school?

Answers

Answer:

X multiplied by 25 subtract 3


(Sorry this is put in words)

Step-by-step explanation:


The sum of 5 and the twice a number is at most 27

Answers

If you are looking to write an inequality equation that models this situation, then the answer would be: [tex]5+2x\leq 27[/tex].  The "at most" signals to use the less than or equal to sign.

The number is 11 if the sum of 5 and twice a number is at most 27 the answer is 11.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

The sum of 5 and the twice a number is at most 27.

What is the number?

Let the number is x

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We can frame a linear equation in one variable.

2x + 5 = 27

2x = 27 - 5

2x = 22

x = 22/2

x = 11

Thus, the number is 11 if the sum of 5 and twice a number is at most 27 the answer is 11.

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|2*z - 9| = 1
How do I find z in this equation?

Answers

Let's solve your equation step-by-step.

|2z − 9| = 1

Solve Absolute Value.

|2z − 9| = 1

We know either 2z − 9 = 1 or 2z − 9 = −1

2z − 9 = 1 (1 is a possibility)

2z − 9 + 9 = 1 + 9 (Add 9 to both sides)

2z = 10

2z /2  =  10 /2   (Divide both sides by 2)

z=5

2z − 9 = −1 (Possibility 2)

2z − 9 + 9 = −1 + 9  (Add 9 to both sides)

2z = 8

2z /2   =   8 /2   (Divide both sides by 2)

z = 4

1

Two solutions were found :


    z=5

    z=4


Absolute Value Equation entered :


     |2z-9|=1

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation


Absolute value equalitiy entered

     |2z-9| = 1

Step  2  :

Clear the Absolute Value Bars


Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.


The Absolute Value term is |2z-9|


For the Negative case we'll use -(2z-9)


For the Positive case we'll use (2z-9)


Step  3  :

Solve the Negative Case


     -(2z-9) = 1


    Multiply

     -2z+9 = 1


    Rearrange and Add up

     -2z = -8


    Divide both sides by 2

     -z = -4


    Multiply both sides by (-1)

     z = 4

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case


     (2z-9) = 1


    Rearrange and Add up

     2z = 10


    Divide both sides by 2

     z = 5


    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution


z=4

z=5

brainliest plzz

Look at the figure. What is another way of naming line m?

Answers

Answer:

Line AB.

Step-by-step explanation:

Since we know that a line is a set of continuous points and it extends in both directions infinitely.

We can name a line either by a single small case letter or by labeling endpoints.

We can see that point A and point B lies on line m. We can name line m as line AB.

Therefore, another name for line m is line AB.

Use the three steps to solve the problem. Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunt's age is over 40, how old is each?

Answers

43 and 57. Because 43 is 3 above 40 and 57 is 3 below 60.

A used motorcycle is on sale for $3,600. Erik makes an offer equal to 3/4 of this price. How much does Erik offer for the motorcycle?

Answers

To find the answer, just multiply the total me .75 (.75 is 3/4)
[tex]3600 \times .75 = 2700[/tex]
So the answer would be 2,700.

what is the GCF of 18 and 20

Answers

The GCF is of 18 and 20 is 3

What is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)

Answers

x = 2 is the answer.

Answer:  The required value of x in the given equation is 2.

Step-by-step explanation:  We are given to find the value of x in the following equation :

[tex]2.5(6x-4)=10+4(1.5+0.5x)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of x, we need to solve the given equation (i).

The solution of equation (i) is as follows :

[tex]2.5(6x-4)=10+4(1.5+0.5x)\\\\\Rightarrow 15x-10=10+6+2x\\\\\Rightarrow 15x-10=16+2x\\\\\Rightarrow 15x-2x=16+10\\\\\Rightarrow 13x=26\\\\\Rightarrow x=\dfrac{26}{13}\\\\\Rightarrow x=2.[/tex]

Thus, the required value of x in the given equation is 2.

What is the slope of the line on the graph?



Enter your answer in the box.




Answers

To find the slope,we can use the slope formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Where x and y are y coordinates and x coordinates respectively.

To find the answer, put any two points into the formula.

In this case, (1,5) and (0,-1) will be used:

x1 and y1 would be the x and y coordinate in the first point(1,5), while x2 and y2 would be the x and y coordinate in the first point (0,-1)

[tex] \frac{5 - ( - 1)}{ 1- 0} \\ = \frac{5 + 1}{1} \\ = \frac{ 6}{1} \\ = 6[/tex]
Therefore the answer is 6.

Hope it helps!

georgia wants to cut the receipe for chocolate frosting in half for a small cake
that she is making. how much of each ingredient will she need

Answers

1/2 a cup of every ingredient that is needed to make it.

the senate passed a bill by an 8:1 ratio if 90 senators voted in all, how many voted for the bill?

a.) 80
b.) 89
c.) 11.25
d.) 10

Answers

d. 10

8+1=9

90/9=10 people voted in all


Answer: a) 80

Step-by-step explanation:

8: 1

8+1= 9

8/9 × 90

=8 × 10 = 80

A cell phone company charges $45 a month for phone service and $0.25 for each text message. Which equation can be used to find the total number of text messages sent in a month? How many text messages were sent if the monthly bill was $75?

Answers

We are given

A cell phone company charges $45 a month for phone service and

$0.25 for each text message

(a)

Let's assume

total number of messages sent on each month is x

total monthly bill is $ y

so, we can set up  equation

[tex]y=45+0.25x[/tex]

now, we can solve for x

Subtract both sides by 45

[tex]y-45=45+0.25x-45[/tex]

[tex]y-45=0.25x[/tex]

[tex]x=\frac{y-45}{0.25}[/tex]

[tex]x=4y-180[/tex]...........Answer

(b)

we can plug y=75

and then we can solve for x

[tex]x=4*75-180[/tex]

[tex]x=300-180[/tex]

[tex]x=120[/tex]

so, total number messages sent were 120...........Answer

At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 4 shirts for $67. How much does 1 SHIRT cost?

Answers

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'.

Now, let's get these into an equation.

Peter's equation :

... 2p + 5s = 61

Jessica's equation :

...3p + 4s = 67

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

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

Subtract both the equations -

... 7s = 49

Divide both sides with 7.

... s = 7

Hence, the cost of each shirt is $7.

Hope my answer helps!!


How is multiplying a whole number by a mixed number the same as multiplying two mixed numbers?

Answers

because you make them all improper fractions

Final answer:

Multiplying a whole number by a mixed number involves the same principle as multiplying two mixed numbers in maths. Both first require converting the numbers into improper fractions, then multiplying the numerators together, and the denominators together, and finally simplifying the result.

Explanation:

In mathematics, multiplying a whole number by a mixed number is fundamentally the same as multiplying two mixed numbers because both processes follow the same principle. Let's break it down step by step: First, both whole numbers and mixed numbers can be converted into improper fractions. For example, if you are multiplying 3 (a whole number) by 2 1/2 (a mixed number), you would first convert them into improper fractions. So, 3 becomes 3/1, and 2 1/2 becomes 5/2.

Then, you would multiply the numerators (top numbers) together and the denominators (bottom numbers) together, i.e., (3 * 5)/(1 * 2) = 15/2. Then, you simplify the fraction if needed.

The same process applies when multiplying two mixed numbers, for example, 2 1/2 * 1 1/4. Convert them to improper fractions (5/2 * 5/4), then multiply the numerators and denominators and simplify the result. Thereby, the principles of multiplication and conversion of numbers apply identically in both scenarios.

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"If triangle vuw is equiangular, find k and t

A. k = 62 , t = 74
B. k = 64, t = 52
C. k = 68, t = 52
D. k = 72, t = 64

Answers

The answer is b. k=64 t=52.


A package weighs 2.6 pounds how much do 8 of the same sized packages weigh

Answers

2.6 x 8

This will equal to 20.8 pounds

Why hello there

Your question: A package weighs 2.6 pounds how much do 8 of the same sized packages weigh

My answer: Well this answer is pretty simple. They key words are 2.6 8 and 8 of the same sized packages weigh. So you can conclude that you are multiplying.

Heres the equatiton for a better understanding

2.6 * 8 = 20.8

So your answer is 20.8

Important: If my answer did help you understand or even pass please mark me as brainliest thank you and have the best day ever!

Who's correct and why?

Please help!!! I don't understand sadly.

Answers

Charlotte is correct. Two ways to tell.

1. The slope is rise over run. Start at 0 and go up to 1. Then over till you hit the line. Slope is 1/3

2. Put 3 in for each x. Y= 3(3). (3,9). That is not the line



Determine if each fraction is a terminating decimal or a repeating decimal. Write each fraction in the correct box.

Answers

-7/9 is repeating
42/50 is terminating
-1/125 is terminating
-77/600 is repeating
179/200 is terminating
5/11 is terminating

The way to figure this out is just by dividing the Numerator (top number) by the denomiter (bottom number)
Example 5÷11=.45454545 repeating

Ben wants to buy a video game that cost 50$.If he has to pay a7% sales tax: how much tax would he need to pay?

Answers

Multiply the cost of the game by the sales tax:

7% tax = 0.07

50 x 0.07 = 3.5


The tax would be $3.50


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