1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga_2 [115]
3 years ago
6

Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand

ard deviation for the sample data. Given that these are the top 10​ salaries, do we know anything about the variation of salaries of TV personalities in​ general? 41 39 38 31 21 20 18 16 15.7 15.2
Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

a) Range = 25.8 million

Variance = 1008.129

Standard deviation = 10.04 million

b) No, we do not know anythjng about the variation of salaries of TV personalities in general as the behaviour of the entire data set cannot be determined just by examining the topmost values. For all we know, these could be the most outlier numbers.

Step-by-step explanation:

The top 10 annual salaries (in million of dollars) of TV personalities

41 39 38 31 21 20 18 16 15.7 15.2

Range = Difference between the highest value and the lowest value.

For this set of data,

Range = 41 - 15.2 = 25.8 million.

Variance is an average of the squared deviations from the mean.

It is given mathematically as

Variance = [Σ(x - xbar)²/N]

where x = each variable

xbar = mean of the data set

N = number of variables = 10

First of, we find the mean,

The mean, xbar, is the sum of variables divided by the number of variables.

xbar = (Σx)/N = (41 + 39 + 38 + 31 + 21 + 20 + 18 + 16 + 15.7 + 15.2)/10 = (254.9/10)

xbar = 25.49

Σ(x - xbar)² = (41 - 25.49)² + (39 - 25.49)² + (38 - 25.49)² + (31 - 25.49)² + (21 - 25.49)² + (20 - 25.49)² + (18 - 25.49)² + (16 - 25.49)² + (15.7 - 25.49)² + (15.2 - 25.49)² = 1008.129

Variance = [Σ(x - xbar)²/N] = (1008.129/10)

Variance = 100.8129

Standard deviation = √(variance) = √(100.8129) = 10.04 million

You might be interested in
The amount of energy it takes to lift a box might be a function of which of
Fynjy0 [20]
B. the weight of the objects inside the box
8 0
3 years ago
Read 2 more answers
7th grade math help me please :)))
yanalaym [24]

Answer:

$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.

Step-by-step explanation:

Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.

Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.

The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.

Therefore, the total proportions would be:

A = \frac{3760}{7916}

B = \frac{2301}{7916}

C = \frac{1855}{7916}

Hence, we can finally multiply these proportions with the total prize to find the appropriate division:

Mr. Aceves' class gets \frac{3760}{7916} \cdot 600 \approx 284.99.

Mrs. Baca's class gets \frac{2301}{7916} \cdot 600 \approx 174.41.

And Mr. Canyon's class gets \frac{1855}{7916} \cdot 600 \approx 140.60.

Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.

Hope this helped!

7 0
2 years ago
How do i answer these?
Harrizon [31]
The Aon Center is taller. You just need to look at the place values, like 5 and 10. Which is bigger? the ten of course. 
5 0
3 years ago
6. Emily rides her bike with a constant speed of
qaws [65]

Answer:

42 miles

Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

12 mph x 3 hours = 36

then you would add that with the 1/2 hour for

12 mph x 1/2 hours = 6

36 + 6 = 42 miles traveled

8 0
1 year ago
How would I put this into a solvable equation, m= ak/n?
12345 [234]

The given equation is

m = ak/n

We want to solve for k

The first step is to multiply both sides of the equation by n. We have

m * n = ak/n * n

mn = ak

The next step is to divide both sides of the equation by a. We have

mn/a = ak/a

mn/a = k

k = mn/a

The correct option is the second one

7 0
1 year ago
Other questions:
  • Which answer describes the type of sequence?
    7·1 answer
  • 23 ones times 2 tens
    13·2 answers
  • To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4 in and
    15·2 answers
  • 47 + (-68) - 38 - (-94)
    13·1 answer
  • Ms. Johnson’s class running a food drive . The 20 students collected 180 cans .
    6·1 answer
  • Y=-1 <br> Y=2x-7 hsbdhdhhdhdjdjdjfjjfjfjffj
    6·1 answer
  • Subtract the following polynomials in this equation.
    11·1 answer
  • Can you please help me with this very hard math problem?
    15·2 answers
  • Can you help me i Don’t understand
    9·1 answer
  • What is an equation of the line that passes through the points (2,-3) and (1,0)?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!