# Data Management, Math

Chebyshev's Theorem states that withing 2 standard deviations (regardless of the mean) that 95% of data is contained. There is also a theorem that states the minimum % of data that will lie between 2 standard deviations.
Chebyshev's Theorem states that regardless of the distribution at least (100(k^2 - 1)) / (k^2) % of the data is guarunteed to lie within k standard deviations of the mean.
a) What is the minimum % of the data that Chebyshev's Theorem guaruntees will lie within 2 standard deviations of the mean for any distribution?
b) Verify the prediction in a) for the data 0, 9, 9.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Statistics

1. The mean monthly mortgage paid by all home owners in a town is \$2365 with a standard deviation of \$340. a) Using Chebyshevâ€™s theorem, find at least what percentage of all home owners in this town pay a monthly mortgage of (i)

2. ### math

Which of the below data sets has the lowest standard deviation? You do not need to calculate the exact standard deviations to answer this question. 0, 1, 2, 3, 4, 5, 6 0, 25, 50, 100, 125, 150, 1000 0, 1, 3, 3, 3, 5, 6 0, 0, 0,

3. ### statistics

The average life of Canadian women is 73.75 years and the standard deviation of the women's life expectancy in Canada is 6.5 years. Using the Chebyshev's theorem, determine the minimum percentage of women in Canada whose life

4. ### university of phoenix

if someone scored two standard deviations above the mean on a standard test where the mean =100 and the standard deviation = 15, what is the person's numerical score?

1. ### statistics

the ages of the members of a gym have a mean of 44 years and a standard deviation of 12 years. what can you conclude from Chebyshev's theorem about the percentage of gym members aged between 26 and 62?

2. ### statics reasoning

Which of the following statements is true? For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite. For a

3. ### Elementary Statistics

Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. Using Chebyshevâ€™s theorem, what do we know about the percentage of women with heights that are within 2 standard deviations

4. ### statistics

Question: If a distribution has a mean of 100 and a standard deviation of 15, what value would be +2 standard deviations from the mean? How would you go about solving this? Find the z-score of 2? I know that 95% (if i'm not

1. ### Standard deviation

What percentage of the data, distributed normally and with the standard deviation, will fall within 2 standard deviations of the mean? A) 13.5% B) 34% C) 68% D) 95% E) 99%

2. ### Math

Suppose a normal distribution has a mean of 20 and a standard deviation of 4. What is the z-score value 0.52. Its standard deviations is less than the mean? -0.13 0.13 help please

3. ### statistics

According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this.

4. ### statistics

The average for the statistics exam was 72 and the standard deviation was 4. Kelsey was told by the instructor that she scored 1.85 standard deviations below the mean.