Identify the outlier in the data set, and determine how the outlier affects the mean, median, and mode of the data. Then tell which measure of central tendency best describes the data with and without the outlier. Justify your answer. 85, 91, 83, 78, 79, 64, 81, 97

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

85, 91, 83, 78, 79, 64, 81, 97

Ordered data : 78, 79, 81, 83, 85, 91, 97

Mean:

Σx / n =

n = sample size = 8

(64+78+79+81+83+85+91+97) / 8

= 658 / 8

= 82.25

Median = 1/2(n+1)th term

1/2(8+1)th term = 1/2 * 9 = 4.5th term

(4th term + 5th term) /2 = (81 + 83) / 2 = 82

Mode = 85, 91, 83, 78, 79, 64, 81, 97

Outlier:

Lower = Q1 - 1.5(IQR)

Upper = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 78.5 ; Q3 = 88 ;

IQR = (Q3 - Q1)

(88 - 78.5) = 9.5

Outlier :

78.5 - 1.5(9.5) = values < 64.25

88 + 1.5(9.5) = values > 102.5

Hence. Outlier is 64

Removing the Outlier :

Data = 78, 79, 81, 83, 85, 91, 97

Mean = 84.85

Median = 83

Based on the result, the median is the best measure of central tendency for the data:


Related Questions

What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch

Answers

Answer:

28413.4 in (radius} = diameter divided by 2 = 47.7 divided by 2 =23.85

radius=  2

diameter

​ =  2

47.7

=23.85

If x = 5 & y = 3 what is 3x + 5y?

Answers

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

ООО
Find the coordinates of the image's vertices.
6. A triangle with vertices ((-2,4), M(-2, 8), and N(-6, 4) is rotated 90° counterclockwise about the origin.
a. L'(-2,-4), M'(-2, -8), and N'(-6,-4)
b. LT-4,2), M (-8,2), and NY-4, 6)
c. L'44,-2), M'(-8,-2), and N'Y 4, 6)
d. L(4-2), M'(8,-2), and N (4-6)

Answers

Dang this look hard a it might be -8,2

The coordinates of the triangle after the rotation is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔLMN

L ( -2 ,4 ) , M ( -2 , 8 ) , and N ( -6 , 4 )

Now , the rotation angle is = 90° counterclockwise about the origin

Let the coordinates of the rotated triangle be ΔL'M'N'

where , 90° counterclockwise rotation: (x,y) becomes (-y,x)

So , L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

Hence , the rotated triangle is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ7

WILL GIVE BRAINLIEST! NEED INSTANT HELP!
The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.

Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s

Answers

Answer:

Step-by-step explanation:

monke is  monke is smart monke rip banana apart s=16

Who is correct? Carl or Caroline

Answers

Caroline is the correct answer

The basic economic questions that any provider of goods must ask are:
• What will be produced?
. Who will produce it?
• For whom will it be produced?
In which type of economy are these decisions made by producers who are
looking to make a profit?
A. Traditional
B. Free
C. Authoritarian
D. Command

Answers

B is the answer free

Bill and his dad are building a deck on the back of their house. The scale on the building plan is 1 in. = 4 ft. If the length of the deck on the plan is 3.5 in., how long will the actual deck be? Length of deck = ft

Answers

Answer:

14 feet

Step-by-step explanation:

4 x 3 = 12ft

4 / 2

2

2 + 12

answer is 14 ft

Answer:

14 feet got it right on the test

Step-by-step explanation:

Please help I need an answer quickly, please

Answers

Answer:

704

Step-by-step explanation:

8 x 8 x 8 I think its the answer hope it helps

Answer:

57 inches

Step-by-step explanation:

use a^2+b^2=c^2

8*8=64

11*11=121

121-64=57

PLEASE GIVE ME BRAINLIEST

Does anyone know how to solve this?

Answers

Answer:

The correct option is c.

Step-by-step explanation:

Given that,

u = 7i+4j and v = 2i-3j

We need to find the product of u and v. The dot product of two vectors is given by :

[tex]u{\cdot}v=(7i+4j){\cdot} (2i-3j)\\\\=(7i)(2i)+(4j)(-3j)\\\\=14-12\\\\=2[/tex]

So, the dot product of u and v is equal to 2.

Pls show work
y=-2
4x - 3y = 18​

Answers

Answer: x=6

Step-by-step explanation:

4x-3(-2)=18

4x-6=18

4x=24

x=6

Question 17
In a bag of trail mix, there is a ratio of 3 scoops of granola, 2 scoops of chocolate chips, and 1 scoop of pean
How many scoops of chocolate chips and peanuts will he need to keep the ratio equivalent?
A
17 scoops of chocolate chips and 16 scoops of peanuts
B
12 scoops of chocolate chips and 6 scoops of peanuts
с
8 scoops of chocolate chips and 7 scoops of peanuts
D
2 scoops of chocolate chips and 1 scoop of peanuts

Answers

Answer:

12 scoops of chocolate chips and 6 scoops of peanuts

Step-by-step explanation:

HEEEEEEEEELLLLLLLLLLLLLLPPPPPPPPPPPPPPPP

Answers

Answer:

∠10 + 12(3) = 46°

∠15(3) + 1 = 46°

Step-by-step explanation:

the angles are equal because they are corresponding angles

(10+12x) =  (15x+1)

reduce:

3x = 9

x = 3

10 + 12(3) = 46°

15(3) + 1 = 46°

Please help!!!part a

Answers

Answer:

b = 76°

Step-by-step explanation:

Hi there,

It is important to know that the sum of all the angles in any triangle equals 180°.

For this problem, we can write the following equation:

32° + 72° + b°  = 180°

104° + b° = 180°

b° = 76°

Hope my explanation helps. Cheers.

4x (12 - 5y + z)
I need help with this​

Answers

Answer:

-20xy + 4xz + 48x

Step-by-step explanation:

Just Distribute :)

Answer:

48x-20xy+4xz

Step-by-step explanation:

You need to distribute the 4x to the rest of the equation so the equation will become 48x-20xy+4xz, this is because 4x * 12 = 48x and 4x*-5y =-20xy and it's xy because x comes before y in the alphabet and then lastly 4x * z same thing it's gunna be xz, so the answer is 48x-20xy+4xz.

PLEASE HURRY which expression is equivalent to -6(-2/3 + 2x)

Answers

Answer:

It's 4-12x

Step-by-step explanation:

ILL GIVE U BRAINLESS..... A gallon of ice cream costs $4.76. How much does it cost per quart?
There are 4 qts per gallon.
Label your answer in with the $ in front of the money amount.

Answers

Answer:

$1.19 per quart

Step-by-step explanation:

one gallon = 4 quarts

$4.76/4 = $1.19 per quart

HELP!!! PLEASE!!!! 55 POINTS!!!!
What is a point-slope equation of the line with slope -12 that goes through the point (5,3)?

Answers

Answer:

D. y - 3 = - 12 ( x - 5)

Step-by-step explanation:

Given

Slope (m) = - 12

Point = ( 5 , 3 ) = ( x1 , y1)

Now

Writing in point-slope equation we get

y - y1 = m( x - x1)

y - 3 = - 12 ( x - 5 )

Hope it will help :)❤

The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.


Answers

Given:

The equation is

[tex]y=21.2x[/tex]

Where, y is earnings for working in dollars and cents and x is the number of working hours.

To find:

The rate of change.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]          ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=21.2x[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]m=21.2[/tex]

Therefore, the rate of change is 21.2 dollar and cents per hour.

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!

Please answer quickly, do NOT show work.

Answers

Answer:

9.6

Step-by-step explanation:

Answer: 9.6 is your answer

Explanation

Please help Write the equation of the line, in slope-intercept form, with the following information below in the picture. Also the red dot means I got it wrong so please help

Answers

Answer:

y= -1/2x -1

Step-by-step explanation:

y= mx +b where the y-intercept is B and the slope is m.

Hope i helped!

SOMEONE HELP ME I NEED IT

Answers

Answer: (D)

your answer will be 3

Step-by-step explanation:

have a nice day

Answer:

D) 3

Step-by-step explanation:

[tex]y+\frac{y-3}{3}[/tex]   |  

[tex]\frac{4y-3}{3}[/tex]

[tex]\frac{3y+(y-3)}{3}[/tex]   |  

[tex]\frac{15+18}{27y}[/tex]

[tex]\frac{3y+y-3}{3} = \frac{4y-3}{3} *\frac{27y}{33}[/tex]

[tex]\frac{4y-3}{3}[/tex]          

[tex]\frac{(4y-3)(27y)}{3x33}[/tex]

Common denominator:- 3

✧༝┉┉˚*❋ ❋ ❋*˚┉┉༝✧

hope it helps...

have a great day!!

Which expression is equivalent to -g-7+3g-6


a. - 4g - 13
b. - 8g - 3
c. -13 + 2g
d. - 4g - 1

Answers

the answer that would be equivalent is C. -13 + 2g

Answer:

- g - 7 + 3g - 6

- 7 + 2g - 6

+ 2g - 13

- 13 + 2g

c. -13 + 2g

find the value of w please

Answers

Answer: w = 136

Step-by-step explanation:

Use the triangle angle sum theorem which states the interior angles of a triangle sum to 180.

14+30+w= 180. Combine like terms.

44+w= 180. Subtract 44 from both sides.

w= 136

Answer:

136°

Step-by-step explanation:

Triangles always equal 180°, so add up the given numbers (in this case, 14 and 30 to get 44) then subtract from 180 to get your answer. Hope this helps!!!

What is... 5 x 2? this is for easy points

Answers

Answer:

Yay, 10

Step-by-step explanation:

Im on time thanks!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 2 \\ = 10[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

What is the square root of 64?? Please help me and I will help you ;))

Answers

Answer:

8

Step-by-step explanation:

64 is a perfect square

the square root of 64 is equivalent to 8

have a great day :)

Answer: square root of 64 is 8

hope this helps

Somebody tell me the answer to this please

Answers

Answer:

B. Because the greatest point is 4

What is the slope of the line that passes through the points (4, 8)(4,8) and (2, 12) ?(2,12)? Write your answer in simplest form.

Answers

Answer:

( -2,4) is the slope of this line

simplify :
(3÷7x+5÷4y)2​

Answers

Answer:

6/7x+5/2y

Step-by-step explanation:

I actually don't know

f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3 2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3

Answers

Answer:

im confused. what math structure is this

what is the answer to this question, I don't wanna fail :(​

Answers

Answer:

12x + 3 + 7x - 13 = 180

Step-by-step explanation:

Q and R are Same Side Interior Angles

If you add any two same side interior angles for a trapezoid, they will equal 180 degrees.

Therefore, 12x + 3 + 7x - 13 = 180 degrees

Answer:

12x + 3 + 7x - 13 = 180

Step-by-step explanation:

The top and bottom sides of the trapezoid are parallel, but the sides are not. This means that the two angles that we are trying to find cannot be equal. In this case, this can only mean that both sides can be combined to complete a 180 degree angle. This can also be determined since they are supplementary angles, or angles that are adjacent to the opposite side of another base.

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