Answer:
15.866
Explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
- 12+13+29+18+61+35+21 = 189
- 189/7 = 27
you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
- 12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6
then, square each calculated value from above
- -15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36
then, add the squared values together
- 225+196+4+81+1156+64+36 = 1762
you would then divide 1762 by 7 (number of data values given orginally)
finally, take the square root of 251.714 to find the standard deviation