what are the mean, variance, and standard deviation of these values? round to nearest tenth. 11, 11, 3, 1, 11, 11
A. mean=8, variance=2.1, standard deviation=4.7
B. mean=11, variance=2.1, standard deviation=4.3
C. mean=9.4, variance=10.2, standard deviation=3.2
D. mean=8, variance=18.3, standard deviation=4.3
To calculate the mean, variance, and standard deviation of the values 11, 11, 3, 1, 11, 11, we first need to find the mean:
Mean:
(11 + 11 + 3 + 1 + 11 + 11) / 6 = 8.3
Next, we find the variance by first calculating the squared differences from the mean:
(11-8.3)^2 = 6.76
(11-8.3)^2 = 6.76
(3-8.3)^2 = 28.09
(1-8.3)^2 = 54.49
(11-8.3)^2 = 6.76
(11-8.3)^2 = 6.76
Then we find the variance by finding the average of these squared differences:
(6.76 + 6.76 + 28.09 + 54.49 + 6.76 + 6.76) / 6 = 17.8
Finally, the standard deviation is the square root of the variance:
√17.8 = 4.2
Rounded to the nearest tenth:
Mean = 8.3
Variance = 17.8
Standard Deviation = 4.2
Therefore, the correct answer is D. mean=8.3, variance=17.8, standard deviation=4.2.