Sample & Population Variance & SD Review

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In summary, sample variance is a measure of how much the data values in a sample deviate from the sample mean, while population variance is a measure of how much the data values in a population deviate from the population mean. Sample variance is calculated by taking the sum of the squared differences between each data value and the sample mean, and then dividing by the sample size minus one. Its purpose is to measure the spread or variability of a data set. Sample variance cannot be negative, as it is always a non-negative value. Standard deviation is the square root of variance and is often used as a more intuitive measure of variability. It is calculated by taking the square root of variance and is also used to measure the spread or variability of a data
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nickar1172
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Reviewing for finals when given a sample of a 8 values {1,2,3,4,5,6,7,8} , when solving for the SD and the variance do I solve for the population variance and SD OR since the question states that it is a sample you solve for the sample SD and variance
 
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Tacking for granted that SD stand for standard deviation, since you only have a sample there is no way for you to evaluate the SD/variance of the whole population.

Therefore you solve the SD/variance for the sample only.
 

FAQ: Sample & Population Variance & SD Review

What is the difference between sample variance and population variance?

Sample variance is a measure of how much the data values in a sample deviate from the sample mean, while population variance is a measure of how much the data values in a population deviate from the population mean.

How is sample variance calculated?

Sample variance is calculated by taking the sum of the squared differences between each data value and the sample mean, and then dividing by the sample size minus one.

What is the purpose of calculating sample variance?

Calculating sample variance allows us to measure the spread or variability of a data set. It is useful in understanding how much the data values differ from the average and in making comparisons between different samples.

Can sample variance be negative?

No, sample variance cannot be negative. It is always a non-negative value, as it is calculated by squaring the differences between data values and the sample mean.

How does standard deviation relate to variance?

Standard deviation is the square root of variance. It is often used as a more intuitive measure of variability, as it is expressed in the same units as the data. It is calculated by taking the square root of variance, and can also be used to measure the spread or variability of a data set.

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