Given the sample 7,6,10,7,5,9,3,7,5,13, find the standard deviation.
- print Print
- list Cite
Expert Answers
Tushar Chandra
| Certified Educator
calendarEducator since 2010
write12,554 answers
starTop subjects are Math, Science, and Business
The standard deviation of the data 7,6,10,7,5,9,3,7,5,13 has to be determined.
The standard deviation of n values is `sqrt((sum(x - barx)^2)/(n - 1)) ` where `barx` is the mean.
First find the arithmetic mean, `barx = (7+6+10+7+5+9+3+7+5+13)/10 = 7.2`
Find the sum of the square of the difference of each term and the mean.
This is `0.2^2 + 1.2^2 + 2.8^2 + 0.2^2 + 2.2^2 + 1.8^2 + 4.2^2 + 0.2^2 + 2.2^2 + 5.8^2`
=> `368/5`
The standard deviation isĀ `sqrt((368/5)/9) = sqrt(368/45)~~2.585968`
` `The standard deviation of the given terms is 2.85968
Related Questions
- How to find the population mean,standard deviation and the variance for 12,8,11,10,7,10,15,13,14...
- 1 Educator Answer
- What is the importance and usefulness of finding the mean/median/range/standard deviation?
- 1 Educator Answer
- What does the standard deviation tell me about my data?
- 1 Educator Answer
- find the standard deviation and variance for the following sample data:...
- 1 Educator Answer
- A sample has a mean of M = 40 with a standard deviation of s = 8. Find the score coressponding to...
- 1 Educator Answer