A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution

Answers

Answer 1

Answer:

hello your question is incomplete  below is the complete question

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: 12 16 18 19,21 21, 21,22 24 24 26What is the arithmetic mean, median and mode? what is the most likely shape of the distribution

answer :

i) mean = 20.36

ii) median = 21

iii) mode = 21

iv) The most likely shape is a Bell - shaped curve

Step-by-step explanation:

sample size = 11

values ( observations ) = 12, 16, 18, 19,21,21,21,22,24,24,26

i) mean

 = ∑ values / sample size = 224 / 11 = 20.36

ii) median

median is the value of the data located at the center of the string of data

to determine the middle position = ( n+1 / 2 )

where n = sample size

hence position of median value = 11 + 1 / 2 = 12 / 2 = 6

the value at the 6th position = 21 ( median )

iii) mode

mode = most repeated value in the series of data

hence mode value = 21


Related Questions

What percent 39 is 26

Answers

Answer: 66.67

Step-by-step explanation:

The answer for this problem is 66.67

The perimeter of a rectangular painting is 340cm. If the width of the painting is 74cm, what is its length?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

Length + Width + Length + Width = Perimeter

Length + 74 cm + Length + 74 cm = 340 cm

74 + 74 = 148

340 - 148 = 192

192 ÷ 2

96

Check:

74cm + 96cm + 74cm + 96cm = 340 cm

If I save 500$ per month, for 12 years how much money will I have ?

Answers

Answer:

I think its 72,000

Step-by-step explanation:

there's 144 months in 12 years and i just multiplied it by 500

Which set of sides will make a triangle? 1 cm, 3 cm, Icm 10 cm, 5 cm, 9 cm 5 cm, 2 cm, 3 cm 10 cm, 3 cm, 4 cm​

Answers

Answer:

5cm, 9cm, 10cm

Step-by-step explanation:

Please help me on this answer I am 1 week behind

Answers

you would do 1 1/4 times 2 1/4. I don’t have a calculator with me right now sorry

For the function f(x) = 5x + 4
Find f(6)

Answers

Answer:

f(6) =34

Step-by-step explanation:

f(x) = 5x + 4

Let x= 6

f(6) = 5*6 +4

     = 30 +4

     = 34

help with math please will give 5 stars and brainlyist

Answers

The answer is 48 (squared)

A = hb/2 = 8*12/2 = 48 (squared)

Find the greatest common factor of 28 and 35

Answers

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35

y∝1√x
If
y=7 when x=64
find,
x when y=8

Answers

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

find the area under the standard normal curve to the right of z=−2.28 z = − 2.28 .

Answers

The area is timesing it to make 39929239

k+12=23
plsssss help

Answers

11 i believe
yeahhhhhhh

Helping to give out points!! Whoever solves the math riddle correctly with a brief explanation will get brainliest and a thanks (the other answers will just get a thanks).

Riddle: I have a big family. I am 16 years old. My sister Reina is 22 years old. The twins are 14 years old. Susana is 10 years old and my brother Robert is 7 years old. If the total number of our ages added together is 100, how old is Albert?

Answers

Answer:

Robbert is 7

Step-by-step explanation:

because you already said it

Albert is 17!
(extra text for character minimum)

Can someone please help me with these 2 problems

Answers

Answer:

uhururfjfhfufjfjfjfjfjfif

Answer:

I believe the first one is 250

the second one I haven't got a clue

Four teams will receive prize money based on their ticket sales. The total prize amount to be apportioned is $63. Determine the standard divisor based on the ticket sales. The ticket sales are: Applejacks: 66 tickets sold Broncos: 769 tickets sold Colts: 652 tickets sold Deers: 556 tickets sold Calculate the standard divisor to two decimal places.

Answers

Answer:

32.43

Step-by-step explanation:

To get the standard divisor

We sum up the tickets sold

Applejack's = 66 tickets

Broncos = 769 tickets

Colts = 652 tickets

Deers = 556 tickets

The total prize amount = $63

Total tickets = 66 + 769 + 652 + 556 = 2043

Standard divisor = 2043/63

= 32.43

The standard divisor to two decimal places is 32.43

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

Answers

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: [tex]N - C > 5[/tex]

Distribution N - C:

The mean is:

[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]

The standard deviation is:

[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - 10}{7.3937}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

write 11.3826 to the nearest thousand​

Answers

Answer:

11.383

Step-by-step explanation:

the third place is the thousandths.

By rounding 11.3826 to the nearest thousand, we get 11.383.

What is the method of rounding a number?

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.2358 rounded to the nearest thousand is 0.236.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.7231 rounded to the nearest thousand is 0.723.

Given number is 11.3826.

Rounding to nearest thousand, we get:

11.3826 ⇒ 11.383.

Learn more about rounding a number to nearest thousand here: https://brainly.com/question/24234983

#SPJ2

A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open
box. If the volume of the box is 1050 in3, what were the original dimensions of the piece of metal?
What is the original width? in
What is the original length in

Answers

breadth= X

L= x+30

after you cut a square with 6in from the corners, the length becomes x+30-6 =x+24 and breadth becomes x-6.

The eqn for volume of box is Length x Breadth x height

it's given that LxBxH = 1050

here height is 6, because u are folding the edge where it's been cut off and that side becomes the height.

rewrite with the given information we get

(x+24)*(x-6)*6 = 1050

divide both sides with 6

(x+25)*(x-6) = 175

distribute the brackets we get,

x^2 -18x -144 =175

x^2 -18x-319 = 0

solve for x using quadratic formula.

we get x= 29, -11

since length cannot be negative x= 29

B= 29, L=59.

Helpp with math!!!!!!!!

Answers

I think the area is 63. Sorry if it is incorrect.

Suppose the probability that it will rain tomorrow is 0.59. What is the probability that it will not rain tomorrow?

Answers

Answer:

0.41

Step-by-step explanation:

All probability equals 1. So if the probability that something will happen is x, then the probability that it will not happen is 1-x


Bryce grew
33 inches each year for the past 4 years. How many inches total has Bryce grown in the
past 4 years ?

Answers

Answer:

132 inches

Step-by-step explanation:

33 x 4 = 132 inches

A snack is 5 parts peanuts and 2 parts raisins. How many pounds of peanuts should be mixed with one-half pound raisins

Answers

One and one fourths pounds aka 1 1/4 or 1.25

I will give brainiest to the person who answers this

Find the length of arc AB. Use 3.14 for 7.
Round to the nearest tenth.
h 7.9 cm
B
66 49
D
[? ]cm

Answers

Answer:

12.4

Step-by-step explanation:

[tex]AL= 2r\pi (\frac{angle}{360} )[/tex]

[tex]AL= 2(7.9)(\pi )(\frac{90}{360})\\[/tex]

find the difference between 1, 407 and 699​

Answers

Answer:708

Step-by-step explanation:

URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answers

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

lisa spent $21 on diapers. if they cost $7 package, how many packages did she buy

Answers

Lisa bought Three packages of diapers

Answer:

3 packages

Step-by-step explanation:

first we need to make this into a equation that we can solve!

x = 21/7

if we use our times tables then we know that

7 * 3

= 21

so knowing what we know, lets go back to the question/ equation!

21/7

= 3

( if you wanted, that could also be a way to double check you answer :)

hope this helped you and if you have any more questions then please ask me! :)

Ella ran 6 times around her school building. Then she ran 4 miles home.


Her phone told her that she ran 7 miles total.


Select an equation that represents this situation

A. 6+4x=7 B. 6x+4=7 C. 6 (x+4) =7


Determine the value of x.

Answers

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

B. 6x+4=7
6(.5)+4=7
3+4=7

what is the value of p in 24 = 2p​

Answers

Answer. So p=12.


explanation:
I’m pretty sure 12 is the answer.





Can someone help me

Answers

The graphs make it appear that cool car’s prices are much greater is the correct answer

Answer:

sorry sorry sorry

Step-by-step explanation:

I don't know

Whichever answer is correct will get brainliest!
Find the value of x. Round to the nearest tenth. 35 12. х x = [?] Enter​

Answers

Answer:

Round to the nearest tenth. 35 12. х x = [?] Enter​

Step-by-step explanation:

a shark is located 45 feet directly below a swimmer on the surface of the water. the angle of depression from a boat nearby to the shark is 64 degrees. how far is the swimmer from the boat​

Answers

Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.

What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.

In this problem:

A shark is located 45 feet directly below a swimmer on the surface of the water, hence the vertical change is 45.The distance d is the horizontal change, which we want to find.The angle is of 64º.

Hence:

[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]

[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]

[tex]d = 21.95[/tex]

The swimmer is 21.95 feet from the boat.

You can learn more about the slope concept at https://brainly.com/question/26342863

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