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
kondaur [170]
3 years ago
7

Consider the following sets of sample data:

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

The coefficient of variation for <em>A</em> is 24.6%.

The coefficient of variation for <em>B</em> is 33.7%.

Step-by-step explanation:

The coefficient of variation (<em>CV</em>) is well defined as the ratio of the standard deviation to the mean. It exhibits the degree of variation in association to the mean of the population.

The formula to compute the coefficient of variation is,

CV=\frac{SD}{Mean}\times 100\%

Consider the data set <em>A.</em>

Compute the mean of the data set <em>A </em>as follows:

Mean_{A}=\frac{1}{n}\sum X

            =\frac{1}{14}\times [36900+19400+...+26000+38400]\\=30064.2857

Compute the standard deviation of the data set <em>A </em>as follows:

SD_{A}= \sqrt{ \frac{ \sum{\left(x_i - Mean_{A}\right)^2 }}{n-1} }

        = \sqrt{ \frac{ 712852142.8571 }{ 14 - 1} } \\\approx 7405.051

Compute the coefficient of variation for <em>A</em> as follows:

CV=\frac{SD_{A}}{Mean_{A}}\times 100\%

      =\frac{7405.051}{30064.2857}\times 100\%\\=24.6\%

The coefficient of variation for <em>A</em> is 24.6%.

Consider the data set <em>B.</em>

Compute the mean of the data set <em>B </em>as follows:

Mean_{B}=\frac{1}{n}\sum X

            =\frac{1}{11}\times [2.1+5.0+...+4.1+1.7]\\=3.2455

Compute the standard deviation of the data set <em>B </em>as follows:

SD_{B}= \sqrt{ \frac{ \sum{\left(x_i - Mean_{B}\right)^2 }}{n-1} }

        = \sqrt{ \frac{ 11.9873 }{ 11 - 1} } \\\approx 1.0949

Compute the coefficient of variation for <em>B</em> as follows:

CV=\frac{SD_{B}}{Mean_{B}}\times 100\%

      =\frac{1.0949}{3.2455}\times 100\%\\=33.7\%

The coefficient of variation for <em>B</em> is 33.7%.

You might be interested in
Please help!! final exam!! if x varies directly as y, and x=20 when y=4, find x when y=9
Dominik [7]

Answer:

X=45

Step-by-step explanation:

Multiple y by 5

7 0
3 years ago
a seamstress needs to cut 15inch pieces of ribbon from a rool of ribbon thats is 9 feet in lenght.What is the greatest number of
monitta
There are 108 inches in 9 feet but there are 5 so 108×5= 540 so to get your answer you need to divide that by 15 which equals 36. so you can make 36 pieces
3 0
3 years ago
I need some help. I will try to give brainliest
Rudiy27

Answer:

Step-by-step explanation:

7 0
3 years ago
Two numbers differ by 3. Their product<br> is 28. Find the numbers.
Paraphin [41]

Answer:

Two solutions (-4,-7) and (4,7)

Step-by-step explanation:

x = y + 3

x*y = 28

(y+3)*y=28

y^2+3y-28=0

(y+7)(y-4)=0

y=-7, y=4

x=-4, x=7

3 0
2 years ago
Help meh please!!!!!!!!!
dalvyx [7]
4/10= 8/20, 2/5. For 8/20 u multiply 2 times and for 2/5 u divide by 2 

Hope that helps u
3 0
3 years ago
Other questions:
  • Help its easy i just have to much work! i need 4-8
    11·1 answer
  • The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201
    14·2 answers
  • 6 - 4 (6n + 7 ) &gt; 122
    9·1 answer
  • Express the standard notation: 8.48x10 to the 4th power
    10·1 answer
  • The average price of a gallon of orange juice in Newark, NJ is $6. The average price in Boston is 110% of the price in Newark. W
    13·1 answer
  • 4x2 + 3 = -7x <br>solve for x<br>x=_,_​
    7·1 answer
  • Zaire needs to purchase 600 cans of juice for a birthday party. Juicy juices sells a 6 packs of juice at $3.35 each. Tasty juice
    11·1 answer
  • Which one is it please help
    10·2 answers
  • Please help I’m doing super bad in math
    12·1 answer
  • Mahni plans to spend the next 12 weeks saving some of her income. She will save $x a week for the first 6 weeks and then $(2x −
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!