107k views
0 votes
Can I get help with B? I just need to find the standard deviation

Can I get help with B? I just need to find the standard deviation-example-1
User Azizbekian
by
8.5k points

1 Answer

7 votes

Given the set of data:

11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7

Let's find the standard deviation.

To find the standard deviation, apply the formula:


s=(√(\Sigma(x-\mu)^2))/(n-1)

Where:

x is the data

u is the mean

n is the number of data = 15

To find the mean, we have:


\begin{gathered} mean=(11+7+14+2+8+13+3+6+10+3+8+4+8+4+7)/(15) \\ \\ mean=(108)/(15) \\ \\ mean=7.2 \end{gathered}

Hence, to find the standard deviation, we have:


\begin{gathered} s=\sqrt{((11-7.2)^2+(7-7.2)^2+(14-7.2)^2+(2-7.2)^2+(8-7.2)^2+(13-7.2)^2+(3-7.2)^2+(6-7.2)^2+(10-7.2)^2+(3-7.2)^2+(8-7.2)^2+(4-7.2)^2+(8-7.2)^2+(4-7.2)^2+(7-7.2)^2)/(15-1)} \\ \\ s=\sqrt{(188.4)/(14)} \\ \\ s=√(13.457) \\ \\ s=3.7 \end{gathered}

Therefore, the standard deviation is 3.7

xzANSWER:

3.7

Can I get help with B? I just need to find the standard deviation-example-1
User Wolfgang Radl
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories