Calculate the standard deviation of a sample for which $n = 6 , \sum x ^ { 2 } = 830 , \sum x = 60$
A) 46.00
B) 6.19
C) 164.00
D) 6.78

Question

Quizplus · Accepted Answer

The standard deviation of a sample is calculated using the formula: $ s = \sqrt{\frac{\sum x^2 - (\sum x)^2/n}{n-1}} $. Plugging in the values: $ s = \sqrt{\frac{830 - (60)^2/6}{5}} = \sqrt{\frac{830 - 600}{5}} = \sqrt{\frac{230}{5}} = \sqrt{46} \approx 6.78 $.

Calculate the Standard Deviation of a Sample for Which n=6,∑x2=830,∑x=60n = 6 , \sum x ^ { 2 } = 830 , \sum x = 60n=6,∑x2=830,∑x=60

Calculate the Standard Deviation of a Sample for Which $n = 6 , \sum x ^ { 2 } = 830 , \sum x = 60$