Question

As an introduction to probability, a student asked to roll a fair, six sided number cube seven times the results of those seven rolls are shown below 1,4,4,4,4,6,5 what is the standard deviation of the data?

Answer 1

Using it's concept, the standard deviation of the data is of 3.742.

What are the mean and the standard deviation of a data-set?

• The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

• The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

$S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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