find the sample standard deviation of the following set of four values. your answer should have two digits…

Explanation:

Step1: Calculate the mean

$\bar{x}=\frac{1.4 + 2.8+2.3 + 1.5}{4}=\frac{8}{4}=2$

Step2: Calculate squared - differences

$(1.4 - 2)^2=(-0.6)^2 = 0.36$ $(2.8 - 2)^2=(0.8)^2=0.64$ $(2.3 - 2)^2=(0.3)^2 = 0.09$ $(1.5 - 2)^2=(-0.5)^2=0.25$

Step3: Calculate the sum of squared - differences

$S=\ 0.36+0.64 + 0.09+0.25=1.34$

Step4: Calculate the sample variance

$s^2=\frac{S}{n - 1}=\frac{1.34}{4 - 1}=\frac{1.34}{3}\approx0.45$

Step5: Calculate the sample standard deviation

$s=\sqrt{s^2}=\sqrt{0.45}\approx0.67$

Answer:

$0.67$