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
Which of the following trigonometric ratios has a value that is undefined?
34kurt

Answer:

csc π.

Step-by-step explanation:

csc π  because  csc = hypotenuse / opposite side  and the opposite side = 0. Anything divided by zero is undefined.

Another way to the same conclusion is:  we know that sin π = 0 and csc π = 1 / sin π = 1 / 0  which is indeterminate.

6 0
3 years ago
Read 2 more answers
Pleas help me pleas<br> help
DaniilM [7]
Answer: planet c
5.7• 107
3 0
3 years ago
daeshon is in the math club. there are 21 students in the club. the math teacher will pick 2 students at random to guide visitin
Firlakuza [10]

Answer:

there are 19 unfavorable spots in 21 for Daeshon,  

thus Pr = 19/21 [ B ] <----

3 0
3 years ago
I need help ASAP!!!,
Evgen [1.6K]

Answer:

b

Step-by-step explanation:

i just took the quiz plz mark brainliest

8 0
3 years ago
What is 1/10 of 1,700,000
Hatshy [7]
1/10*1700000 = 1700000/10 =170000
4 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose a jumbo ice cream cone is filled with vanilla and strawberry ice cream at a ratio of 2:1. If the diameter of the cone is
    13·2 answers
  • a ferry boat collects 67 people at pier one. At pier two 36 people get on and 23 people get off. At pier three 18 get on and 29
    13·1 answer
  • How do I wrote Five less than the quotient of a number and 3 is -7
    10·1 answer
  • The reciprocal of 1/8
    10·2 answers
  • Can you answer this question ?
    9·1 answer
  • Please help ASAP!!!!!!
    14·1 answer
  • What’s the area of the figure below?
    15·2 answers
  • A yard contains 16 ounces. 9 ounces is what fraction of a pound?
    14·2 answers
  • 2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))
    7·2 answers
  • the sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!