The standard deviation for the set of data will be √2. Then the correct option is A.
What is a standard deviation?
It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.
The standard deviation is given as
[tex]\rm SD = \sqrt{\dfrac{(x_i- \mu)^2}{n}}[/tex]
SD = Standard deviation
n = Size of the population
[tex]\rm x_i[/tex] = Each value from the population
μ = mean
The data is given below.
13.3, 14.3, 15.3, 16.3, 17.3
The mean of the data will be
Mean = (13.3 + 14.3 + 15.3 + 16.3 + 17.3) / 5
Mean = 15.3
Then the standard deviation will be
SD = √[{(13.3–15.3)²+(14.3–15.3)²+(15.3–15.3)²+(16.3–15.3)²+(17.3–15.3)²} / 5]
SD = √(10 / 5)
SD = √2
Then the correct option is A.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
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