The value of the standard deviation of the data set is 14.1 option (d) is correct.
What is the standard deviation?
It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have n = 15,
∑x = 689
X = 45.93 ≈ 46
After plugging all the values in the formula:
σ² = 2769/14
σ = 14.1
Thus, the value of the standard deviation of the data set is 14.1 option (d) is correct.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
