The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3

All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1

a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?

Answers

Answer 1

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])

where x = values of the set.

For Pawnee:

[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

[tex]mean^{2}[/tex]  = [tex]4.25^{2}[/tex] = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location


Related Questions

Express the following numbers as a ratio between an integer and a natural number:
1 and 2/5, 0.3, -3 and 1/4, -27, 0

Answers

9514 1404 393

Answer:

7/53/10-13/4-27/10/1

Step-by-step explanation:

The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.

Integers can be expressed as a ratio with 1 as the denominator.

1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5

0.3 = three tenths = 3/10

-3 1/4 = -(3×4/4 +1/4) = -(12+1)/4 = -13/4

-27 = -27/1

0 = 0/1

What is the total amounted sap the tees produced that day

Answers

Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

Find the missing value in the percent statement using a proportion.
______ is 75% of 4.

Answers

Answer: 3

Step-by-step explanation: Hope I helped

In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS

Answers

Answer:

[tex]for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°[/tex]


Help me plssssssssss

Answers

Answer:

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

Step-by-step explanation:

5. 12 and 3

Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:

a+b = b+a

For the given question, the commutative property will be:

[tex]12+3 = 3+12[/tex]

Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.

It can be stated as:

(a+b)+c = a+(b+c)

7. 6,4 and 8

The associative property will be:

[tex](6+4)+8 = 6+(4+8)[/tex]

9. 10,5 and 7

[tex](10*5)*7 = 10*(5*7)[/tex]

Hence,

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

7. Triangle FIP was dilated by a scale factor of centered at the origin to
create triangle F'I'P', which has coordinates F' (1,-),1'(2,-1),P'(1,2).
Write the coordinates of the vertices of triangle FIP in the spaces
provided below.
FC
16
IC
17
PC
18

Answers

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

6/9 miles

Step-by-step explanation:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A.
left
B.
down
C.
up
D.
right

Answers

Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

D. right

Right is the right answer.

Answer:

Down

Step-by-step explanation:

I took the test and got it right

So right how to do this so help me it hurts

Answers

Answer:

The answer is y=6x+2

Step-by-step explanation:

Write an equation for the line that passes through the points (0,6) and (3,0).

y=-23-6

y=-22-3

y=- 4-6

y=-22-3

Answers

Answer:

y=-2x+6

Step-by-step explanation:


Last year, there sugar factories in a town
produced 24809565
bags,
187385 76 bags
and 95 64 568 bags of sugar what were the total number of bags
produced?

Answers

Answer: ‭53,112,709‬ bags

Step-by-step explanation:

Three sugar factories produced 24,809,565 ,  18,738,576  and 9,564,568 bags of sugar respectively.

The total number of sugar bags produced in the country is their sum which is:

= 24,809,565  + 18,738,576  + 9,564,568

= ‭53,112,709‬ bags

10 POINTS
Please help directions are at the top of the picture, please leave just a lil explanation also I’ll mark brainliest. :)

Answers

Answer:

C, F, D

Step-by-step explanation:

For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.

Left problem:

From point C to point A, go 2 left and 7 up.

[tex] AC = \sqrt{2^2 + 7^2} = 7.3 [/tex]

From point A to point B, go 5 right and 1 down.

[tex] AB = \sqrt{5^2 + 1^2} = 5.1 [/tex]

From point B to point C, go 6 down and 3 left.

[tex] BC = \sqrt{6^2 + 3^2} = 6.7 [/tex]

Perimeter = 7.3 + 5.1 + 6.7 = 19.1

Do the same for the other triangles.

Middle problem:

From point F to point D, go 2 left and 7 up.

[tex] FD = \sqrt{2^2 + 7^2} = 7.3 [/tex]

From point D to point E, go 7 right and 2 down.

[tex] DE = \sqrt{7^2 + 2^2} = 7.3 [/tex]

From point E to point F, go 5 down and 5 left.

[tex] EF = \sqrt{5^2 + 5^2} = 7.1 [/tex]

Perimeter = 7.3 + 7.3 + 7.1 = 21.7

Right problem:

From point L to point J, go 7 left and 1 up.

[tex] LJ = \sqrt{7^2 + 1^2} = 7.1 [/tex]

From point J to point K, go 4 up and 5 right.

[tex] JK = \sqrt{4^2 + 5^2} = 6.4 [/tex]

From point K to point L, go 2 right and 5 down.

[tex] KL = \sqrt{2^2 + 5^2} = 5.4 [/tex]

Perimeter = 7.1 + 6.4 + 5.4 = 18.9

If f(x) = 2x + 5x and g(x) = 3x - 5, find (f+ g)(x).
O A. 2X + 8x - 5
B. 2X + 2x + 5
C. 24 - 2x - 5
D. 10x - 5

Answers

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

#7 There are 24.5 ounces of uncooked rice in a bulk container. A customer is removing rice from the container at a rate of 3.25 ounces per second. How many ounces of uncooked rice are in the container after 4 seconds? *

A. 11.5 ounces
B. 21.25 ounces
C. 27.75 ounces
D.37.5 ounces

Answers

Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

Subtract 13 from 24.5

24.5 - 13 = 11.5

= 11.5 ounces

CAN ANYONE HELP ME PLEASE!!!!!!

Which of the following points is in the solution set of y < x²- 4x + 3?

A. (-3,0)

B. ( 1, 0)

C. (2,-1)​

Answers

Not sure if this helps

The snowy slopes ski resort kept track

Answers

What I don’t understand what do u mean
There is no context here.

Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist​

Answers

[tex]\huge\bf\underline{Answer}[/tex]

Given :-

Total surface area of a cube = 1944cm²

To Find :-

Side of the cube

Formula :-

[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]

Where,

TSA = Total surface area of a cube

a = Side of a cube

Solution :-

Let the Side of a cube be 'x'

By substituting values according to the formula,

[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]

[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]

[tex]\sf{:⇒ {x}^{2} = 324}[/tex]

[tex]\sf{:⇒x = \sqrt{324} }[/tex]

[tex]\sf{:⇒x = 18cm}[/tex]

Hence, The Side of a cube is 18cm

Theresa's computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family's phones, tablets, and cloud storage? Type your answer in scientific notation. Her family's phones, tablets and cloud storage equal 9.6 gigabytes.​

Answers

Answer:

Hope this helps! ( if not then sorry)

In scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.

To calculate the additional storage in bits that Theresa's computer has compared to her family's phones, tablets, and cloud storage, we first need to convert the 1 terabyte to bits and the 9.6 gigabytes to bits.

1 terabyte = 1,000,000,000,000 bytes

1 byte = 8 bits

So, 1 terabyte = 8 × 1,000,000,000,000 bits

= 8,000,000,000,000 bits

9.6 gigabytes = 9.6 × 1,000,000,000 bytes

= 9,600,000,000 bytes

9.6 gigabytes = 8 × 9,600,000,000 bits

= 76,800,000,000 bits

Now, we can calculate the difference in bits:

Difference = Theresa's computer storage - Family's phones, tablets, and cloud storage

Difference = 8,000,000,000,000 bits - 76,800,000,000 bits

Difference = 7,923,200,000,000 bits

Difference = [tex]7.9232 \times 10^{12}[/tex]  bits.

Thus, in scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.

Learn more about the Scientific Notation here :

https://brainly.com/question/20533245

#SPJ2

Which of the following polynomials have degree 5?

Answers

Answer:

lll

Step-by-step explanation:

*dab

it feels good to know the answer

||| ayooo yessirrrr

X= What does ×= 88, 89 or 90

Answers

The answer should be 88

z = -3x +5y
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Answers

Answer:

minimum value of z is 0

Step-by-step explanation:

if x and y both equal zero, then the value of z is zero, which is your answer.

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
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what is b?

Answers

the answer is b=-12

Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.

Answers

She types in 450 words in 5 minutes
180/2=90
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If 5 people need 1,250 meters of cloth to
make tracksuits, how
many
meters of
cloth will 12 people need?​

Answers

Answer:

3000m

Step-by-step explanation:

5 people need cloth=1250 m

1 people need cloth=1250/5

12 people need cloth=1250/5*12

=3000 m

pls mark me as brainliest its nice

Does this graph show a function? Explain how you know. URGENT ANSWERR NOW PLEASE PLEASE!! Godbless

Answers

yes it’s a function bc it is graphed with the x-axis

Answer:

D

Step-by-step explanation:

A function never has the same points twice. That's why it failed the vertical line test.

Can Someone help with this​

Answers

Answer:

x        y

-2      5

-1 .      1

3 .       1

-1        -2

Step-by-step explanation:

in 1 just put in

x        y

-2      5

-1 .      1

3 .       1

-1        -2

Can someone please help me

Answers

(X+-2)(y+-4)
(X)(y)+(x)(-4)+(-2)(y)+(-2)(-4)
Xy-4x-2y+8

Lou buys 20 pounds of apples for $40. How many pounds can she buy for one dollar?

Answers

Answer:

She can buy 2 pounds per dollar.

Step-by-step explanation:

Of the 100 students that were surveyed 36 students say
they were on their phone less than one hour a day. Of the
55 females, 40 use their phone more than one hour a
day. How many males say they use their phone less than
one hour a day?
HELP

Answers

Answer:

15 females say they use their phone less than an hour a day

36 - 15 = 21 males that use their phone less than an hour a day

(equation above is the total number of students that use their phone less than an hour a day, with the 15 females that do being subtracted from it. that will leave the number of males that use their phone less than an hour a day, which is your answer.)

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

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