a sample was done, collecting the data below. calculate the standard deviation, to one decimal place. 3 4 15…

Explanation:

Step1: Calculate the mean

The data set is (3,4,15,25,6). The mean (\bar{x}=\frac{3 + 4+15+25+6}{5}=\frac{53}{5}=10.6)

Step2: Calculate the squared - differences

((3 - 10.6)^2=(-7.6)^2 = 57.76), ((4 - 10.6)^2=(-6.6)^2 = 43.56), ((15 - 10.6)^2=(4.4)^2 = 19.36), ((25 - 10.6)^2=(14.4)^2 = 207.36), ((6 - 10.6)^2=(-4.6)^2 = 21.16)

Step3: Calculate the variance

The variance (s^{2}=\frac{57.76+43.56 + 19.36+207.36+21.16}{5}=\frac{349.2}{5}=69.84)

Step4: Calculate the standard deviation

The standard deviation (s=\sqrt{69.84}\approx8.4)

Answer:

(8.4)