Knowee
Questions
Features
Study Tools

Chebeshev rule suggest atleast___________% distribution of data around mean while K=3.Group of answer choices89759995

Question

Chebeshev rule suggest atleast___________% distribution of data around mean while K=3.Group of answer choices89759995

🧐 Not the exact question you are looking for?Go ask a question

Solution

Chebyshev's theorem, also known as Chebyshev's inequality, provides a certain amount of certainty about the distribution of data in a population. The theorem states that no matter the shape of the data set, at least 1 - 1/k^2 of the data must fall within k standard deviations from the mean.

Here, k=3. So, we substitute k=3 into the formula:

1 - 1/k^2 = 1 - 1/3^2 = 1 - 1/9 = 8/9 = 0.888...

So, Chebyshev's rule suggests that at least 88.8% (approximately 89%) of the data distribution is around the mean when k=3.

This problem has been solved

Similar Questions

Chebyshev rule suggest ___________% distribution of data around mean while K=2.Group of answer choices95680.7575

Qn.2. (a) A continuous random variable x has the pdf, f(x) = 2 xk 0< x < 1 and 0 otherwise find the (i) value of the constant k (ii) mean and standard deviation of X (b) A random variable X takes on the integer value x, with probability, Q (X= x) such that, Q(X= x) = k x3, for x = 1,2,3,4 and 0 otherwise Find (i) value of k (ii)Mean and variance of the distribution (iii) Mean and variance of 2X- 4

Chebyshev’s inequality gives the proportion of values within k standard deviations around the mean for any shape of the distribution of values. Therefore, 2 standard deviations from the mean will cover more values under Chebyshev’s inequality than under normal distribution.AFalseBTrue

k. Which data point has the second maximal mean kriging variance?(0.5 mark)

According to a librarian, the distribution of library fines paid by the students has a mean of RM6 and a standard deviation of RM4. Find the probability that the sample mean will be above 6.3 when the sample size is 35.a.0.95b.0.67c.0.33d.0.48Clear my choice

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.