# Answer to Question #24406 in Statistics and Probability for Ellie

Question #24406

Calculate the mean,median, and the mode for the following data set:

Also find the standard deviation

5,5,5,5,5,10

Also find the standard deviation

5,5,5,5,5,10

Expert's answer

The mean value:

X = (5+5+5+5+5+10)/6 = 35/6 = 5.83

The median is the middle value in a set of values.:

5,5,5,5,5,10

Therefore median = 5.

The mode of a set is the value or values that occur most frequently. The number 5 occurs 5 times, and no other numbers occur as frequently. Therefore, the mode = 5

The standard deviation:

sqrt[ (5*(5-5.83)^2 +(10-5.83)^2)/(6-1) ] = 2.04

X = (5+5+5+5+5+10)/6 = 35/6 = 5.83

The median is the middle value in a set of values.:

5,5,5,5,5,10

Therefore median = 5.

The mode of a set is the value or values that occur most frequently. The number 5 occurs 5 times, and no other numbers occur as frequently. Therefore, the mode = 5

The standard deviation:

sqrt[ (5*(5-5.83)^2 +(10-5.83)^2)/(6-1) ] = 2.04

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