The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?

Answers

Answer 1

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]

Mode = most repeated number = 2    (thrice)

geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.


Related Questions

Need help ASAP swill mark Brainly

Answers

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Write the correct name for each of the following polygons.

Answers

Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH

2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.

Answers

I : 3/12 or 1/4
N : 2/12 or 2/6
D : 1/12
A: 2/12 or 2/6
P: 1/12
O: 1/12
L: 1/12

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Which ordered pair is in the solution set of the system of inequalities shown in the graph below

Answers

-2, -1 is the correct answer your looking for

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).

Anf for the equation x - 1 > 0, x > 1

The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ5

Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x

Answers

B because it is multiplication while the question is asking for addition. :)
B is you’re answer love !! Good luck

what are the coordinates of point h?​

Answers

-1,3 that’s easy u should definitely pay attention in class

Answer:

(-1.5, 3) are the coordinates of point h

What is the volume of the pyramid?

A 17cm^3, 56cm^3, 84cm^3 or 168cm^3

Answers

Answer:

56cm2

Step-by-step explanation:

1÷3×4×6×7

=56cm2

What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°

Answers

Answer:

<1 =126

Step-by-step explanation:

<2 = 126 since they are vertical angles

<1 = <2 since they are alternate interior angles

<1 =126

What are the coordinates of points a
(-4,3)
(3,-4)
(-3,-4)
(-4,-3)

Answers

The answer is (-4, -3)

can someone please teach me how to find the value of x ?

Answers

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

Change 2x+y=-4 into slope-intercept form with steps

Answers

Answer : y = -2x - 4

All you have to do is put y on one side and the 2x on the other side, just make sure to make it negative since you are subtracting it to go on the other side

Enter 72% as a fraction in the simplest form

Answers

Answer:

18/25

Step-by-step explanation:

72% = 72/100

72/100 simplified

=18/25

it would be 72/100 but then simplified to 36/50 but then simplified again to be 18/25

Find the area of the parallelogram in square units.

Answers

I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40

What is 1(y), when y= -5/8
A. -5/8
B. 5/8
C. 3/8
D. -8/5

Answers

Answer: A

1(y) will still equal -5/8

we know y = -5/8

1 x -5/8 = -5/8

answer is a

I need help please help
Me

Answers

Answer:

Step-by-step explanation:

X=6

Consider this quadratic expression.

x² – 10x + c + 11 – c

What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100

Answers

Answer:

c = 25

Step-by-step explanation:

Given this quadratic expression.

x² – 10x + c = 0

We are to find the value c that will make the expression a perfect square'

Using the completing the square method

Add the square of the half of coefficient of x

Coefficient of x = -10

Half of -10 = 1/2(-10) = -5

Square of -5 = (-5)^2 = 25

Hence the value of c to complete the expression is 25

Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?

Answers

Answer:

$37

Step-by-step explanation:

Let $x be the amount Kelly saved.

Kelly saved $x.

Indhu saved $(x-16). (Kelly saved $16 more than Indhu)

Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)

They saved $100 together.

Therefore we could set up an equation.

x+(x-16)+2(x-16)=100

x+x-16+2x-32=100

4x=148

x=37

Therefore Kelly saved $37.

the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answers

P= L(W)
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34

2 + 6d = _____ d = 8

Answers

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.

Roberto has a certain number of songs on his MP3 player.
Each week, he plans to add 4 more songs. After 5 weeks, he
had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.

Answers

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I’ve done this math I know I am right!

the sum of a group of numbers is the same regardless of the order in which the numbers are arranged​

Answers

Answer:

Commutative property

Answer:

its commutative property

I am struggling!! Help!!

Answers

Answer:

facts

Step-by-step explanation:

Answer:

[tex]y= 9/4x+5[/tex]

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

[tex]m=\frac{5-(-4)}{0-(-4)}=9/4[/tex]

Plug your value into the point-slope formula.

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

[tex]y = (9/4)(x-(-4))+(-4)[/tex]   simplify it

[tex]y= 9/4x+5[/tex]  the simplified form is the slope-intercept formula

Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her account. What is the total amount of money Isabella will have in her account after 2 years? (Use the formula to calculate compound interest

Answers

2420 after two years.

2000x.1
200 add 2000+200 then
2200x.1
220 add 2200+220
2400.

A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$

Answers

Answer:

525; $68.25

Step-by-step explanation:

21+.09x=.13x

x=525

21+.09(525)=68.25

.13(525)=68.25

The answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

A)

Let's assume the amount of calling is x for which the two plans cost the same.

So , the algebraic expression can be written as ;

Plan A = Plan B

or

21 + (0.09 × x) = 0 + (0.13 × x)

Solving this we will get amount of calling for which the two plans cost the same as :

21 = 0.13x - 0.09x

0.04x = 21

x = 525 minutes

B)

Now , the cost when two plans cost the same amount :

Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25

or

Plan A = Plan B = $68.25

Therefore , the answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

Learn more about algebraic expression here :

https://brainly.com/question/2164351

#SPJ2

Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.

Solve the following for b: V = a^2 (5+b)

Answers

B= (v/a^2)-5 should be correct.


The graphs of two lines are shown.
HELPP

Answers

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3

  b = 7

So, the equation y = mx+b is ...

  y = -3x +7

__

B) m = (7 -0)/(3 -0) = 7/3

  b = 0

The equation is ...

  y = (7/3)x

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer: y  ≥  − 2

Step-by-step explanation : hope it helps :)

how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)

Answers

Answer:

6.25 miles

Step-by-step explanation:

To find how many miles they ran, divide the number of kilometers by 1.6

10/1.6

= 6.25

So, they ran 6.25 miles

Other Questions
Find the value x and write the property used here. please help me guys lol? What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?A. (X-2)^2 = 4(y+5)B. (Y+4)^2 = 4(x-2)C. (X+2)^2 = 1/4(y+4)D. (X-2)^2 = -1/4(y+5) what is the thing that you change in an experiment so that you can study the result of the change its called? Select the correct answer to the question:Tes grands-parents, voyageaient-ils beaucoup quand ils taient jeunes? Square ABCD is shown in the xy-coordinate plane. The square will bedilated with the center O by a scale factor of 2 to create square A'B'C'D'.Which statements are true?Select all that apply.BC ||B'C'AC=A'C'AD_CDPoint D' has the same coordinates as point C.Point C' lies on the line containing points 0 and C. help please !! thank you! hi everyone how are you and what is 4 divieded by 12 what is the magnification of the eye piece on the microscope? A user attempts to log in to a Windows PC, but the computer returns to the login screen after entering the correct username and password. A technician inspects the logs in Event Viewer and finds a message that corresponds to the user's login attempts: The user profile for User l5 could not be loaded. Ntuser.dat is missing or corrupt. What would be MOST appropriate for resolving this issue? When tectonic plates collide, there may be-F earthquakes and volcanoesG very high mountainsH deep ocean trenchesJ all of the above Help mehhhhhhhhhhhhhh.Question is which equation represents the line shown on the graph? Create a scatter plot and answer the following question.Graph the points, draw a lint of best fit, and write an equation for the line of best fit. Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.Hint: Use the formula, f(x) = P(1 + r)xA. f(x) = 900(1.7)x, $1,081B. f(x) = 900(1.07)x, $1,262C. f(x) = 900(1.07)x, $1,081D. f(x) = 900(0.07)x, $1,262 (empezar) en la universidad en3. Mi amiga y yoagosto.Question 41 pts4. Matthew(estudiar) para la prueba. . About what year were the great English and Welsh castles being abandoned, unnecessary, and fallingapart? I need serious help, this is hard I need help with this question Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost? If an oceanic plate and a continent plate converge, or push towards each other, which plate will sink under the other one?