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Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The mean is 10 (Type an integer or decimal.) The standard deviation is (Do not round until the final-answer. Then round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer All parts showing

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Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .

Explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-


\overline{x}=(\sum^6_(i=1)x_i)/(n)\\\\\Rightarrow\overline{x}=(60)/(6)=10

The standard deviation is given by :-


\sqrt{(1)/(n)(\sum^6_(i=1)(x_i-\overline{x})^2)}\\\\=\sqrt{(1)/(6)(\sum^6_(i=1)(x_i-10)^2)}\\\\=\sqrt{(1)/(6)*(49+16+1+1+25+36)}=4.61880215352\approx4.62

The range of the data : Maximum value -Minimum value


=16-3=13

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