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

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

Step-by-step explanation:

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

Total number of data values : n = 6

The mean of data is given by :-

The standard deviation is given by :-

The range of the data : Maximum value -Minimum value

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

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step-by-step explanation: