what is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 round the answer to the tenths place…

Explanation:

Step1: Calculate the mean

The data set is (7,3,4,2,5,6,9). The mean (\bar{x}=\frac{7 + 3+4+2+5+6+9}{7}=\frac{36}{7}\approx5.14).

Step2: Calculate the squared - differences

((7 - 5.14)^2=(1.86)^2 = 3.46), ((3 - 5.14)^2=(- 2.14)^2 = 4.58), ((4 - 5.14)^2=(-1.14)^2 = 1.30), ((2 - 5.14)^2=(-3.14)^2 = 9.86), ((5 - 5.14)^2=(-0.14)^2 = 0.02), ((6 - 5.14)^2=(0.86)^2 = 0.74), ((9 - 5.14)^2=(3.86)^2 = 14.89).

Step3: Calculate the variance

The variance (s^{2}=\frac{3.46 + 4.58+1.30+9.86+0.02+0.74+14.89}{7}=\frac{34.85}{7}\approx4.98).

Step4: Calculate the standard deviation

The standard deviation (s=\sqrt{4.98}\approx2.23\approx2.4) (rounded to the tenths place).

Answer:

A. 2.4