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#### Find The Mean Variance And Standard Deviation

Referencing Styles : MLA | Pages : 1

The mean, variance and standard deviation for the given set of values are as mentioned below:

 Data Range 227 235 255 269 292 299 312 321 333 348 Mean Variance Standard Deviation 289.1 1710.544 41.35872876

### Mean:

The mean value of two or more numbers could be found by finding the average value of the given numbers. Considering this being a formula to calculate the mean value of numbers, following is the mean value for the numbers (227,235,255,269,292,299,312,321,333,348):

Mean Value = 289.1

### Variance:

From the perspective of probability theory and statistics, a variance can be considered the expectation of the squared deviation of a random variable from its mean. Informally, it measures and helps to identify the distance between a set of numbers and their average value. It is noteworthy that variance has a central role in statistics. Some of the ideas that variance uses include descriptive statistics, hypothesis testing, statistical inference, Monte Carlo Sampling and Goodness of Fit. The variance of the given numbers in the questions is:

Variance = 1710.544

### Standard Deviation:

In statistics, the standard deviation is a kind of measure that is used to identify and quantify the amount of variation for a set of values given. A low standard deviation will mean that the data points are close to the mean value of the set. On the other hand, a high standard deviation will mean that the data points are placed or spread out over a wider range of values. The standard deviation for the given set of points is:

Standard Deviation = 41.35872876

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