Using it's concept, it is found that the standard deviation of the data-set is given by:
B. 1.6
What are the mean and the standard deviation?
- The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
- The standard deviation 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.
In this problem, the data set is: {6, 4, 9, 5, 5, 4, 5}.
Hence, the mean is given by:
[tex]M = \frac{6 + 4 + 9 + 5 + 5 + 4 + 5}{7} = 5.43[/tex]
Then, the standard deviation is given by:
[tex]S = \sqrt{\frac{(6-5.43)^2 + (4-5.43)^2 + (9-5.43)^2 + (5-5.43)^2 + (5-5.43)^2 + (4-5.43)^2 + (5-5.43)^2}{7}} = 1.6[/tex]
Hence option B is correct.
More can be learned about standard deviation at https://brainly.com/question/13008984
