The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Answers

Answer 1

Answer:

The best measure of center is median = 37.50.

Step-by-step explanation:

The complete question is:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

The best measure of center for this data set is the , and its value expressed up to one decimal place is?

Solution:

The three measures of center are:

MeanMedianMode

The mean is the average value of the data set and uses all the values of the data set.

The median is the middle value of the data set.

Mode is the value of the data st with the highest frequency or number of occurrence.

Compute the mean, median and mode of the data set provided as follows:

[tex]\text{Mean}=\frac{1}{n}\sum X=\frac{1}{14}\times [36+18+....+72+29]=40.57[/tex]

So, the mean is 40.57.

The data set in ascending order is:

{16 , 18 , 28 , 29 , 35 , 36 , 37 , 38 , 40 , 41 , 44 , 66 , 68 , 72}

There are 14 values in the data set. That is an even data set.

The median for an even data set is the average of the middle two values.

The middle two values are: 37 , 38

Average of {37 , 38} = [tex]\frac{37+38}{2}=37.50[/tex]

So, the median is 37.50.

None of the values are repeating itself. Thus, the data does not have a mode.

For the provided data:

Mean > Median

Implying that the data set is right-skewed.

For a skewed distribution or data set the median is the measure of center.

Thus, the best measure of center is median = 37.50.


Related Questions

two figures are similar and the scale factor is 2/3. If a side of the larger figure is 12, then the corrosponding side in the smaller figure is? 6 8 12 18

Answers

Answer:

8

Step-by-step explanation:

Since you referred to a scale factor of 2/3, and the fact that the side of the larger figure is 3, we know that the ratio of the smaller figure to the larger figure is 2/3. We can then find that the corresponding side of the smaller figure is 8.

Answer:

The guy above me is right, it is 8!

Step-by-step explanation:

I got the answer correct.

if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?

Answers

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?​

Answers

Answer:   51

Step-by-step explanation:

17% of 300 is 51

300 x .17 =51.

Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.

Answers

Answer:

0.3, 1/3, 37.5%, 40%, 3/5

Step-by-step explanation:

Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.

For 1/3;

= 1/3 * 100

=  100/3

= 33.3%

For 0.3:

= 0.3 * 100

= 3/10*100

= 30%

for 3/5;

= 3/5 * 100

= 300/5

= 60%

Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%

The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%

In term of the given values from least to greatest is;

0.3, 1/3, 37.5%, 40%, 3/5

Johnny's backyard measures 15. wide by 10 feet long. What is the area of Johnny's
backyard in square feet?
square feet.

Answers

Answer:

150

Step-by-step explanation:

To find the area, you have to multiply by the length and width.  

L = 10

W = 15

15 x 10 = 150

Hope this helps! <3

1.5 square feet. 1.5x10=15

What percent of 2434 is 17?
a 17.0%
b 0.7%
c 14,317.6%
d 7.0%

Answers

Answer:

b.) 0.7%

best of luck!

Which statement about sutter’s work are true?

Answers

Answer:

good question

Step-by-step explanation:

go to google i guess

Answer:

The one that was listed. Unlike the ones on this question.

Step-by-step explanation:

Have

a

good

day

:)

An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?

Answers

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

c = 150 + 20b

Evaluate each expression. y − z + xz ÷ 6; use x = 3, y = 4, and z = 4

Answers

answer: 4
work:
4-4+3x4/6=4

The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?

Answers

Answer:

The number of yellow skittles in the bag is 15 yellow skittles

Step-by-step explanation:

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag

From the ratio of yellow to blue skittles in the bag, we have;

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/14

Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;

The number of blue skittles = Y + 12

The total number of skittles = Y + Y + 12 = 2·Y + 12

Whereby the fraction of the total skittles that are blue = 9/14, we have

9/14 × (2·Y + 12)  = Y + 12

9 × (2·Y + 12) = 14 × (Y + 12)

18·Y + 108 = 14·Y + 168

18·Y - 14·Y = 168 - 108 = 60

4·Y = 60

Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6

Answers

Answer:

5

Step-by-step explanation:

Edgunity

Answer:

5 C

Step-by-step explanation:

even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.

what is the answer (2x + 6) = c​

Answers

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

Answer:  

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

 

 

Solve for x. Show steps.

1. 3x = 2x + 2

2. 3x + 5 = 4x + 1

3. 6x + 3 = 3x + 12​​

Answers

Answer:

1: x=2, 2: x=4, 3:x=3

Step-by-step explanation:

They are correct because i checked them

HELP ME PLEASE!!

The cross section area of a brick wall that is shaped as
right-angled triangle is 12m² and the height is 6 metre.
Calculate the gradient and the area of the slanted surface
of the stone wall.​

Answers

Answer:

14.42 m²

Step-by-step explanation:

h = 6 mS = 12 m²

S = 1/2bh ⇒

b = 2S/h = 2*12/6 = 4 m

Gradient:

√(6²+4²) = √52 = 7.21 m

Area of slanted surface:

7.21 m* 2 m = 14.42 m²

Answer:

14.42 m²

hope it helped:D

determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)​

Answers

Answer:

Domain (-3, 4, 5)

Range (1, 2, 6)

Step-by-step explanation:

Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).

Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).

So, basically you just look at all the number that come first so say you have

(1,2), (2,3), (3,4)

Your first numbers to each point are (1, 2, 3) which is your Domain

then look at the second number which are (2, 3, 4) which is your Range.

Hope this helps!

A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday

Answers

Answer: d

Step-by-step explanation:

A = 18:25 = 1:1.39

B = 6:12 = 1:2

C = 10:18 = 1:1.8

D = 12:15 = 1:1.25

The smallest ratio is D.

sorry if it's wrong!

Answer:

Step-by-step explanation:

If y = 21, when x = 7, find y when x = 28.

Answers

Answer:

84

Step-by-step explanation:

x=7 x=28

y=21 y=84

is simple ratio problem

Answer:

Answer: y = 21

Answer: y = 21 when x = 7

Answer: y = 21 when x = 7so x = 28

Answer: y = 21 when x = 7so x = 28 then y = 84

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4

I need help what is 3+2x^3 when x=2

Answers

3+2(2)^3
=3+2(8)
=19

Hope this can help.

What is the product of (–0.5)(–1.2)(–5.22)?

Answers

Answer:

-31.32

Step-by-step explanation:

(–0.5)(–1.2)(–5.22)

6(-5.22)

=>-31.32

|3n+2|+4=0 algebra 2

Answers

I3n+2I+4=0

3n+2+4=0

3n+2=0-4 = -4

3n+2= -4

3n= -4 - 2 = -6

3n= -6

n= -6/3

n=-2

can y’all please help meeeee
i would really appreciate it :)

Answers

Answer:

its 10

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )

y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )

(y - 2)² = x + 6 ( subtract 6 from both sides )

(y - 2)² - 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Please help I will give brainliest

Answers

Answer:

m = 14

p = 64

n = 32

Step-by-step explanation:

11m = 154

m = [tex]\frac{154}{11}[/tex]

m = 14

180 - p = 116

180 - 116 = p <- as you noticed, the negative sign changed to a positive one, cuz p moved to the other side of the equal sign.

64 = p

n + 86 = 118

n = 118 - 86

n = 32 <- same thing happened here, except the positive changed to a negative.

What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis

Answers

The final point would be ( 4,-5)

3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients

Answers

Answer:

A) 34 clients

Step-by-step explanation:

From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:

75*45%= 33.75→ 34

According to this, the answer is that the number of business clients is 34.

The pizza you ordered for your party has been split into 12 even slices. Every slice has either
pepperoni, chicken, or sausage. If 1/3 of the pie has pepperoni, and 2/4 of the pie has chicken, how many
SLICES of the pie have sausage?

Answers

Answer:

2 slices of pizza is sausage

Step-by-step explanation:

1/3 of pizza is 4 slices(pepperoni)

2/4 of pizza is 1/2 which is 6(chicken)

There are 12 slices in all so 12-(6+4) = 2 sausage

what is the answer to a0 + (-7) = 3

Answers

Answer:

a0 = 10

Step-by-step explanation:

We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:

a0 + -7 = 3

a0 + -7 + 7 = 3 + 7

a0 = 10

Cheers.

A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? I have already learned that the one removed is (4,1) A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? this not inout and out can not be the same

Answers

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?

Answers

Answer:

Dimensions of rug:

Length = 28 ft

Width =  27 ft

Step-by-step explanation:

The given dimensions of the room is:

Length = 30 ft

Width = 29 ft

Area of carpeting = 756 sq ft

Kindly refer to the attached image.

Let the uniform strip around floor is of length = [tex]x[/tex] ft

This [tex]x[/tex] feet will be 2 times along the length and

2 times along the width of room.

So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and

Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]

It will be rectangular in shape.

Area of a rectangle is given as:

[tex]A = Length\times Width[/tex]

[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]

Negative length not possible.

So,Length of strip,  [tex]x = 1\ ft[/tex]

Dimensions of rug:

Length = 30 -2 = 28 ft

Width = 29 -2 = 27 ft

1st answer gets brainliest what is 17/12 + 11/12

Answers

Answer:

7/3

Step-by-step explanation:

17/12+11/12

28/12

=>7/3

if Chicago supplies 1388.8888889 of water each second, how many ft per second​

Answers

Answer:

1388.8888889

Step-by-step explanation:

First of all, this looks like a problem that is incomplete. You never gave the unit of how much water they supplied, and there is not supposed to be that many decimal places. Also, a foot is a term of measurement, not volume. However, if I assume that the unknown object supplied is cubic feet, it would be 1388.8888889 cubic feet per second.

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