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What is the purpose of finding standard deviation?
The standard deviation of a set of data is a measure of the random variability present in the data. Given any two sets of data it is extremely unlikely that their means will be exactly the same. The standard deviation is used to determine whether the difference between the means of the two data sets is something that could happen purely by chance (ie is reasonable) or not.Also, if you wish to take samples of a population, then the inherent variability - as measured by the standard deviation - is a useful measure to help determine the optimum sample size.
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.
If mean is 8 median is 6 and standard deviation is 2 what is skewness?
Karl Pearson simplified the topic of skewness and gave us some formulas to help. The first is the Pearson mode or first skewness coefficient. It is defined by the (mean-median)/standard deviation. So in this case the Pearson mode is: (8-6)/2 =1 There is also the Pearson Median. This is also called second skewness coefficient. It is defined as 3(mean-median)/standard deviation which in this case is 6/2 =3 hence the distribution is positive skewed
The average gas mileage of a certain model car is 28 miles per gallon If the gas mileages are normally distributed with a standard deviation of 1.7 find the probability that a car has a gas mileage?
That's on page 126 in your statistics textbook...... DO YOUR OWN HOMEWORK!!! K i obv needed help with how to do it, ass. I didn't want just the answer.
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.?
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.(1) Find the probability of a certain student marking more than 75 points and less than 85 points inclusive.(2) A student needs more than what point to be positioned within top 5% of the participants in this test?(3) A student with more than what point can be positioned within top 100 students?i dont understand the question.. could you help me??pls....
Is standard deviation a percentage?
No. It's the number that will help you work out the percentage.
If the variance of a distribution is 13.53, what is its standard deviation If the standard deviation of a distribution is 3.45, what is its variance?
I don’t know if this is correct or not but, I think it’s standard deviation 1.581138830084 I hope this helps but can you help me with each product of the same facor 10/4 =. I hope you can help with my problem an again I hope this helps👍👍
What does standard deviation help you find?
Standard deviation helps you identify the relative level of variation from the mean or equation approximating the relationship in the data set. In a normal distribution 1 standard deviation left or right of the mean = 68.2% of the data 2 standard deviations left or right of the mean = 95.4% of the data 3 standard deviations left or right of the mean = 99.6% of the data
What is measure of variability?
Standard deviation would be used in statistics.
N equals 36 with a population mean of 74 and a mean score of 79.4 with a standard deviation of 18?
Can someone help me find the answer for a sample n=36 with a population mean of of 76 and a mean of 79.4 with a standard deviation of 18?
What is the purpose of finding standard deviation?
The standard deviation of a set of data is a measure of the random variability present in the data. Given any two sets of data it is extremely unlikely that their means will be exactly the same. The standard deviation is used to determine whether the difference between the means of the two data sets is something that could happen purely by chance (ie is reasonable) or not.Also, if you wish to take samples of a population, then the inherent variability - as measured by the standard deviation - is a useful measure to help determine the optimum sample size.
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.
How do you calculate coefficient of variation in spss?
The coefficient of variation is a method of measuring how spread out the values in a data set are relative to the mean. It is calculated as follows: Coefficient of variation = σ / μ Where: σ = standard deviation of the data set μ = average of the data set If you want to know more about it, you can visit SilverLake Consulting which will help you calculate the coefficient of variation in spss.
How can I apply a curve to grades effectively?
To apply a curve to grades effectively, you can adjust the scores based on the overall performance of the class. This can help account for variations in difficulty of the test or assignment. Calculate the average score and standard deviation, then adjust individual grades accordingly. Be transparent with students about the curve and how it impacts their grades.
If mean is 8 median is 6 and standard deviation is 2 what is skewness?
Karl Pearson simplified the topic of skewness and gave us some formulas to help. The first is the Pearson mode or first skewness coefficient. It is defined by the (mean-median)/standard deviation. So in this case the Pearson mode is: (8-6)/2 =1 There is also the Pearson Median. This is also called second skewness coefficient. It is defined as 3(mean-median)/standard deviation which in this case is 6/2 =3 hence the distribution is positive skewed
When do you know when to use t-distribution opposed to the z-distribution?
z- statistics is applied under two conditions: 1. when the population standard deviation is known. 2. when the sample size is large. In the absence of the parameter sigma when we use its estimate s, the distribution of z remains no longer normal but changes to t distribution. this modification depends on the degrees of freedom available for the estimation of sigma or standard deviation. hope this will help u.... mona upreti.. :)
In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants From previous studies the standard deviation of the weights of elephants in this sub?
To determine the average weight of the elephant subspecies, the researcher should collect a sample of weights from the elephants in the subspecies and calculate the mean weight. They can then use statistical methods to estimate the population average weight of the subspecies with a certain level of confidence. The standard deviation obtained from previous studies can help assess the variability of the weights within the subspecies and provide insights into the spread of the data.
