Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

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

Q1 = 8000

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

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166


Related Questions

Amy's art class is 6 hours long. How long is her class in minutes?

Answers

Answer:

360 minutes.

Step-by-step explanation:

Answer:

360 minutes

Step-by-step explanation:

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.

Answers

Answer:

2/5

Step-by-step explanation:

(-2 , 2) = (x1 , x2)

(3 , 4) = (x2 , y2)

slope = y2 - y1/x2 - x1

=4 - 2/3 - (-2)

=2/3+2

=2/5

What is the value of x?

Answers

Answer:

i think its 29

Step-by-step explanation:

180-64=116

116/2=58

58/2=29

Answer:What is the value of x?

Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?

Answers

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°

help with this please. Thanks​

Answers

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.

Answers

Answer:  T=1700

Step-by-step explanation:

anyone know the missing angle ?

Answers

Answer:48.013

Step-by-step explanation: just found it

Bob has been alive for 21,900 days. How old is Bob?

Answers

Answer:

32 Years, 7 Months, 2 Days old

Step-by-step explanation:

if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?

Answers

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

identify EFG

Answer Options:

= 45
= 35
= 22.5
=27.5

Answers

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Determine the time 2 hours and 7 minutes after 22:57

Answers

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

Graph the inequality. y ≥ |x + 5| - 3

Answers

Answer:

1

Step-by-step explanation:

calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.

Answers

Circumference: Pie D (length of the entire shape) D= 7.5 times 2= 15 so, C= 3.14 times 15= 47.1 . So the final answer is 47.1

The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.

Answers

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

Which point is a good approximation of a turning point
of the graph?
0 (-1.5,3)
0 (-0.5, -1)
0 (0,0)
O (1.0)

Answers

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

how to solve 11/8 ÷ 4/9

Answers

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Help with this math image below

Answers

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

por favor ayudaaaaaa

Answers

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Please show how you did it so I can learn :)​

Answers

Answer:

[tex] x_{1} = 3 + \sqrt {6} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Step-by-step explanation:

Given the quadratic equation;

x² - 6x + 3 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 1, b = -6 and c = 3

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]

[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = 3 + \sqrt {6} [/tex]

Or

[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

please help me pleaseee!!​

Answers

Answer:

AOB = 65

DOE = 35

AOC = 90

EOB = 115

DOB = 80

How many significant figures are there in the number 10.8?
A. 4
B. 2
C. 3
D. 5

Answers

Hope this helps. Sorry for wrong answers

Answer:

C = 3

1. A is a quadrilateral with exactly one
pair of parallel sides.

Answers

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