What are the mean and standard deviation of {115, 89, 230, -12, 1700}?

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Answer 1 · 2018-04-16T08:06:09

Arithmetic Mean #~~ 424.4#

Standard Deviation #~~ 642.44#

Input Data Set: #{115, 89, 230, -12, 1700}#

Arithmetic Mean #= (1/n) * Sigma (x_i)#,

where, #Sigma x_i# refers to the Sum of all the elements in the Input Data Set.

#n# is the total number of elements.

Standard Deviation #sigma = sqrt[1/n*Sigma (x_i - bar x)^2)#

#Sigma (x_i - bar x)^2# refers to the average of the squared differences from the Mean

Make a table of values as shown:

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Hence,

Arithmetic Mean #~~ 424.4#

Standard Deviation #~~ 642.44#

Hope it helps.