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
nikitadnepr [17]
3 years ago
13

If a set of data has mean 60 and variance 9 then it's coefficient of variation is

Mathematics
2 answers:
loris [4]3 years ago
4 0
Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.
Finger [1]3 years ago
3 0

The coefficient of variation c_{v} is \boxed{\bf 5\%}.  

Further explanation:

The mean or average is used to derive the central tendency of the data.

Standard deviation is a measure that is used to quantify the amount of variation or dispersion of a data.

The coefficient of variation is the standard deviation divided by the mean and the formula for coefficient of variation is,

\boxed{c_{v}=\dfrac{\sigma}{\mu}\cdot 100}   .....(1)

where, \sigma is the standard deviation and \mu is the mean.

Also, standard deviation is equal to square root of variance.

Here, the set of data has mean \mu=60 and variance \sigma=9.

Now, the standard deviation (\sigma) is equal to square root of variance and can be written as,

\begin{aligned}\sigma&=\sqrt{9}\\&=3\end{aligned}  

Thus, the standard deviation \sigma=3.

Substitute the values of mean and standard deviation to get the value of coefficient of variation as follows:

\begin{aligned}c_{v}&=\dfrac{3}{60}\cdot 100\\&=\dfrac{1}{20}\cdot 100\\&=5\end{aligned}  

Therefore, coefficient of variation c_{v} is \boxed{\bf 5\%}.

Learn more

1. Problem on intercept of the quadratic equation brainly.com/question/1332667

2. Problem on the center and radius of an equation brainly.com/question/9510228

3. Problem on the general form of the equation of the circle brainly.com/question/1506955

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Statistics

Keywords: Coefficient of variation, mean, variation, standard deviation, median, mode, dispersion, geometric mean, harmonic mean, probability, probability distribution, normal distribution.

You might be interested in
Suppose you are doing a study on the wealth of the population in your town. You take a random survey of 100 people. Which would
Angelina_Jolie [31]

Answer:

D) The total number of people in the population.

Step-by-step explanation:

The answer is D) The total number of people in the population. because it is a quantitative data measurement. All other options, Age, Gender and Education are qaualitative measures, which are aligned with the Objective of the study, Wealth - A qualitative measure too!

4 0
3 years ago
Read 2 more answers
The gift shop is having a sale. your friend sells half her stock of keyrings every hour. she has 24 boxes at the start of the sa
Bingel [31]

To solve for the given problem above:

Let x be the number of boxes left after 3 hours

3 * ½ X = 24

3/2 X = 24

X = 24 * 2/3

X = 16

The correct answer is 16.

3 0
2 years ago
Read 2 more answers
Journal entries recorded to update general ledger accounts at the end of a fiscal period
serg [7]
Yea so whats the question or is that just a fact<span />
5 0
3 years ago
Read 2 more answers
Please Help ! Will give brainliest!
sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0
3 years ago
An art gallery sells paintings at .35 per square inch
VashaNatasha [74]

1 foot = 12 inches

 2 x 12 = 24 +3 = 27 inches

3 x 12 = 36 +5 = 41 inches

27*41 = 1107 square inches

1107 * 0.35 = $387.45

6 0
2 years ago
Other questions:
  • The diameter of a circular swimming pool is 8.5 m. What is the approximate circumference of the pool? Round to the nearest tenth
    9·2 answers
  • Which of the following is the inverse of the statement "If I like math, then I like science"? A. If I do not like science, then
    11·2 answers
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the
    11·1 answer
  • Please help last one today
    11·2 answers
  • 1-?
    10·2 answers
  • QUICK I NEED HELP!!
    13·1 answer
  • Selena's favorite chocolate chip cookie recipe calls for 111 teaspoon of salt for every {2 \dfrac{1}{4}}2
    8·1 answer
  • 1. State the degree of each function and whether each is linear, quadratic or neither. [1 mark
    9·1 answer
  • If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL
    8·1 answer
  • What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!