Question

20)Find the sample variance and standard deviation of the following set of numbers. The table has been given to you to help with organization. Remember the start by finding the mean.6, 8, 11, 14, 18ValueValue - Mean(Value - Mean)26-5.429.168-3.411.5611-0.40.16142.66.76186.643.56Average 11.4091.2The variance of these values is . The standard deviation of these values is .

Answer 1

Step-by-step explanation

From the question, the mean has already being given as 11.4 and n as 5. Other necessary value have also being given hence we can then find the sample variance and deviation below.

`\begin{gathered} sample\text{ variance}=\frac{\sum_{n\mathop{=}1}^5(\left(Value-Mean\right)^2}{n-1} \\ sample\text{ standard deviation =}\sqrt{sample\text{ }variance}\frac{}{} \end{gathered}`

Therefore, we will have the sample variance and and sample standard deviation as

`\begin{gathered} sample\text{ }variance=(91.2)/(5-1)=(91.2)/(4)=22.8 \\ sample\text{ }standard\text{ }deviation=√(22.8)=4.7749 \end{gathered}`

Answer: sample variance = 22.8 and sample standard deviation is 4.7749