The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.

Answers

Answer 1

Answer:

Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000

Step-by-step explanation:

Given the data :

108 83 106 73 53 85 80 63 67 75 124 55 93 118 77

Reorderd data :

53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124

The median salary:

1/2(n+1)th term

Sample size, n = 15

1/2 (15 + 1)th term

1/2(16)th term

8th term = 80

Median is $80,000

Median reported by Wall Street Journal approximately $85000

The obtained and reported values are close

The mean annual salary :

ΣX / n = 1260 / 15 = 84

Mean annual salary = $84,000

Mean is the average of all earnings combined, median is the mid value of he data.

First and third quartile :

Q1 = 1/4(n+1)th term

Q1 = 1/4(16)th term

Q1 = 4th term = 67

Third quartile:.

Q3 = 3/4(n+1)th term

Q3 = 3/4(16)th term

Q3 = 12th term = 106


Related Questions

3/4 divided by 1/5 PLEASE ANSWER

Answers

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

 

 

Answer:

3.75

Step-by-step explanation:

a baseball team wins 45% what fraction of the games do they win

Answers

Answer:

= 9/20

Step-by-step explanation:

45% = 45/100

= 0.45

= 0.45/1 × 100/100

= 45/100

= 9/20

Is 3 1/2 cups more or less than 1 liter? Explain your reasoning. (Note: 1 cup ≈ 236.6 milliliters)

Answers

Answer:

no you need about 4.2 cups for a liter

Step-by-step explanation:

Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times

Answers

Answer:

250+25t=m

Step-by-step explanation:

t is the number of times she babysits and m is the amount of money overall.

What is the value of X on the parallelogram below?

Answers

2(x+8) hope its right :))
44 is the correct answer for x
Because (2(44)+16)=104 is a true statement

Look at pic plz help

Answers

Answer:

Mochi is growing quicker.

Step-by-step explanation:

At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.

Answer:

Mochi

Step-by-step explanation:

by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.

10° 70° 110° 170° are my choices​

Answers

Answer: 70 sorry if wrong

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

Hi!

So, according to the verticle angle theorem:

[tex]2x+50=7x[/tex]

Now just solve this equation

Same to both sides:

[tex]50=5x[/tex]

[tex]x=10[/tex]

Plug in numbers to 2x+50

[tex]2(10)+50[/tex]

[tex]20+50\\70[/tex]

In a standardized IQ test scores are normally distributed, with a mean score of 100 and a standard deviation of 15 what is the highest score that would still plays a person in the bottom 10% of the scores

Answers

The 68-95-99.7 Rule Example

Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.

Julie bought 12
packages of cucumber seeds. Each bag contains 42
seeds. If she plants half of the seeds, how many of the
seeds does she have left?

Answers

Answer:

12x42=504

504/2=252

252

Step-by-step explanation:

PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Only need to check m:

m^-6 / m^-2 = m^(-6 - -2) = m^-4 = 1 / m^4

Answer:

B

Step-by-step explanation:

Which of the following is the solution of the system of equations shown?
(2,-2)
(2,2)
(-2,2)
(-2,-2)

Answers

Answer:

(-2,-2)

Step-by-step explanation:

The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.

(-2,-2)

In a lab, 100 cells are present at the beginning of an experiment. During the first 10 hours, the number of
cells increased by 28% each hour.

Answers

Answer:

100+0.28*100=100+28=128

Step-by-step explanation:

3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.

Answers

Answer:

a- 15

Step-by-step explanation:

Answer:

a.) 15

b.) 180

c.) 2700

d.) 2700

olivia's passcode has 4 digit The second digit to the left is 3 times the first (left most) digit tHe number formed by the last (right most ) 2 digits is three times the second digit to the left.the sum of the digits is 21. what is olivia's pass code

Answers

Answer:

3927

Step-by-step explanation:

This is the answer my teacher gave me, I promise.

The four-digit passcode is 3927 and this can be determined by using the given data and by using the hit and trial method.

Given :

Olivia's passcode has 4 digits. The second digit to the left is 3 times the first (left most) digit.The number formed by the last (right most) 2 digits is three times the second digit to the left.The sum of the digits is 21.

Let the four digits passcode be 'abcd'. Then mathematical expression that represents "The second digit to the left is 3 times the first (left most) digit" is given below:

b = 3a   --- (1)

The mathematical expression that represents "the sum of the digits is 21" is given below:

a + b + c + d = 21    --- (2)

So, let a = 3, then b = 9, and the last two digits are 27. So, the number becomes 3927.

For more information, refer to the link given below:

https://brainly.com/question/25277954

The perimeter of a dance floor is 44 feet.
The length is 8 feet less than twice the width.
Let I=length and w=width.
0 21 + 2w = 44
1 = 2w - 8
21 + 2w = 44
w= 21 – 8
0 21 + 2w = 8
1 = 2w - 44
O 1 + w = 44
1 = 2w – 8

Answers

Answer:

Step-by-step explanation:

Not sure what the question is here.

L = W-8

Perimeter = 2L + 2W = 44

L+W = 22

(W-8)+ W = 22

W = 15 ft

L = 7 ft

A rectangular playground has width of 320 feet and a length of 1280 feet. Brooklyn makes a
scale model of the playground using a scale of 4 cm: 20 feet. What are the dimensions of
Brooklyn's scale model?



please help

Answers

Answer:409600

Step-by-step explanation:I multpiled and got 409600


37% of what number is 48?

Answers

Answer:

129.73

Step-by-step explanation:

Answer:

48 is 37% of 129.72973

Do anyone knows it? X x 5 x y

Answers

Answer:

it is 5xy........................

Answer:

so X x 5 x y

that would equal 5xy

hope this helped

Step-by-step explanation:

If a confidence interval is given from 43.83 up to 61.97 and the mean is known to be 52.90, what is the margin of error?

Answers

Answer:

error is 9.07

Step-by-step explanation:

lemme know if its wrong

Select the statement that describes a unit rate. Javon read 1 book. Javon is running 3 miles. Javon has 4 balls and 1 bat. Javon is bicycling 7 miles per hour.

Answers

Answer:

The last one

Step-by-step explanation:

What is 7300 rounded to the nearest hundred?

Answers

7300 is your answer hope it helps

What is the solution to f(x)=g(x) ?

Answers

Answer: x=0
x=1

Hope this helps!

p is directly proportional to the cube of q

Answers

Answer:

p=q^3

Step-by-step explanation:

The formula for p  in terms of q is p = 0.4 q³

What is meaning of Direct Proportion ?

Direct Proportion means when one variable changes the other also changes in the same direction by some proportion.

It is given that

p ∝ q³

p = k q³

here k is the proportionality constant

It is also given that when q = 15 , p = 1350

1350 = k * 15³

k = 0.4

Therefore

The formula for p  in terms of q is

p = 0.4 q³

The complete question is

p is directly proportional to the cube of q . When , q = 15 , p = 1350

Find a formula for p  in terms of q

To know more about Direct Proportion

https://brainly.com/question/14664532

#SPJ2

Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2

Keith’s work is shown below. What mistake did Keith make?

-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m

What is the solution of the equation?

Answers

Answer:

-37=13m

Step-by-step explanation:

Consider the system of linear equations shown here. x – 4y = -8 y = -X – 3 What is the solution to this system? How do you know?​

Answers

Answer:

x = -4

y = 1

Step-by-step explanation:

For the "How do you know?" part, substitute the x and y values into one the original equations and check to see if it's true

If Tn =n^+2n. Find third term of the sequence

Answers

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be used; (b) each group must have at least one red ball and one blue ball; (c) there are strictly more blue balls than red balls in each of the three groups. How many different combinations are there

Answers

Answer:

{b}

Step-by-step explanation:


5. A television set is sale at P13,499 in cash or on installment terms, P2,500 each
month for the next 6 months at 9% compounded monthly. If you would be the
buyer what would you prefer cash or installment?​

Answers

Cash is always king. It will cost you more if you pay interest, but you may not have enough money to buy this very over priced $13,499 TV. I say shop around for a cheaper TV.

If I were the buyer, I would prefer cash payments to paying in instalment.

In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.

The formula for calculating future value = A (B / r)

B = [(1 + r)^n] - 1

P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34

Paying in instalments is more expensive.

To learn more about future value, please check: https://brainly.com/question/14640433

How many unique codes are possibly formed from two characters, where the first character can be 5 to 8, and the second character can be B to D?

Answers

Answer:I think irs 3

Step-by-step explanation:

You know me triple og gone to pien

I really need pointssss sorryyy

a pet store had 3 cats. if they wanted to split 17 ounces of cat food amongst them, how much should each cat get? please tell me how you got the answer. Thanks!
Answer:
A. 3/17
B. 5 1/3
C. 3/5
D. 17/3

Answers

Answer:

D. 17/3

Step-by-step explanation:

You would be dividing 17 by 3 or 17/3 (This is literally it just write the division problem).

Answer:3/17

Step-by-step explanation:

because if your doing fractions like 5th grade math what ever numbers is first like the top fraction so for examples tom had 5 cakes and blah blah 13 people the fraction would be 5/13 cakes

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