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The mean absolute deviation is 2

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What is the mean variance and standard deviation for the numbers 2 4 8 2 9 1 7 11 4 7 1 10 1 5?

5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.


What does it mean if the standard deviation is equal to the mean?

A large standard deviation indicates that the distribution is heavily weighted far from the mean. Take the following example: {1,1,1,1,1,19,19,19,19,19} Mean is 10 and StDev = 9.49 Now look at this data set: {5, 6, 7, 8, 9, 11, 12, 13, 14, 15} Mean is still 10, but StDev = 3.5


What is the standard deviation of the following data set 8 9 9 9 10 11 11 12?

For 8 9 9 9 10 11 11 12: σ=1.3562


What is a population standard deviation of 2 6 15 9 11 22 1 4 8 19?

7.087547766 is the standard deviation for those figures.


What is the purpose of finding the standard deviation of a data set?

The purpose of obtaining the standard deviation is to measure the dispersion data has from the mean. Data sets can be widely dispersed, or narrowly dispersed. The standard deviation measures the degree of dispersion. Each standard deviation has a percentage probability that a single datum will fall within that distance from the mean. One standard deviation of a normal distribution contains 66.67% of all data in a particular data set. Therefore, any single datum in the data has a 66.67% chance of falling within one standard deviation from the mean. 95% of all data in the data set will fall within two standard deviations of the mean. So, how does this help us in the real world? Well, I will use the world of finance/investments to illustrate real world application. In finance, we use the standard deviation and variance to measure risk of a particular investment. Assume the mean is 15%. That would indicate that we expect to earn a 15% return on an investment. However, we never earn what we expect, so we use the standard deviation to measure the likelihood the expected return will fall away from that expected return (or mean). If the standard deviation is 2%, we have a 66.67% chance the return will actually be between 13% and 17%. We expect a 95% chance that the return on the investment will yield an 11% to 19% return. The larger the standard deviation, the greater the risk involved with a particular investment. That is a real world example of how we use the standard deviation to measure risk, and expected return on an investment.

Related Questions

What is the mean absolute deviation of 16 19 20 22 26 34 35 39?

To calculate the mean absolute deviation (MAD), first, find the mean of the data set: (16 + 19 + 20 + 22 + 26 + 34 + 35 + 39) / 8 = 24. Next, calculate the absolute deviations from the mean: |16-24|, |19-24|, |20-24|, |22-24|, |26-24|, |34-24|, |35-24|, |39-24|, which results in 8, 5, 4, 2, 2, 10, 11, and 15. The average of these absolute deviations is (8 + 5 + 4 + 2 + 2 + 10 + 11 + 15) / 8 = 7.125. Thus, the mean absolute deviation is 7.125.


What is the mean variance and standard deviation for the numbers 2 4 8 2 9 1 7 11 4 7 1 10 1 5?

5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.


What does it mean if the standard deviation is equal to the mean?

A large standard deviation indicates that the distribution is heavily weighted far from the mean. Take the following example: {1,1,1,1,1,19,19,19,19,19} Mean is 10 and StDev = 9.49 Now look at this data set: {5, 6, 7, 8, 9, 11, 12, 13, 14, 15} Mean is still 10, but StDev = 3.5


What is the standard deviation of the following data set 8 9 9 9 10 11 11 12?

For 8 9 9 9 10 11 11 12: σ=1.3562


Which curve is more dispersed a mean 23 with standard 1 or mean 6 and standard 11?

If "standard" is meant to be standard deviation, the answer is the second.


What is the absolute value of 11?

Think of the absolute value of a number as it's distance from the origin or zero point on the number line. Since it is a distance it is always going to be positive. The absolute value of -11 is then 11.Absolute value of -11 is 11.


The test scores on ch 3 mathematics test have a mean of 58 and a standars deviation of 11.Andrea scored 85 on the test.How many standard deviations from the mean is that?

(85 - 58)/11 = 27/11 = 2.4545.. sd


What is the standard deviation for 11 13 15 16 20 21?

3.898717738 is the standard deviation.


What is the answer for -3a 10-11?

If you mean -3a = 10-11 then a = 1/3


What is the mean for 89101112?

If you mean: 8 9 10 11 and 12 then the average mean is 10


The average height of flowering cherry trees in a nursey is 11ft If the heights are normally distributed with a standard deviation of 1.6ft find the probability that a tree is less than 13 ft?

mean = 11ftstandard deviation = 1.6ftx=13z= 13-11 = 1.251.6P(0


What does 10 -1 mean?

11