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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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