Answer:
standard deviation = .882
Step-by-step explanation:
steps to calculate the standard deviation are as follows:
1.
find the mean of the data set:
= 9.3 + 8.0 + 7.5 + 8.5 + 10.40 + 9.30 + 9.70 + 9.30 / 8
= 72/8 = 9
2.
subtract the mean from each score:
9.3 - 9 .3 .09
8.0 - 9 -1 1
7.5 - 9 -1.5 2.25
8.5 - 9 -.5 .25
10.40 - 9 1.4 1.96
9.30 - 9 .3 .09
9.70 - 9 .7 .49
9.30 - 9 .3 .09
3.
square each deviation:
done on the table above.
4.
add the squared deviations:
.09 + 1 + 2.25 + .25 + 1.96 + .09 + .49 + .09
= 6.22
5.
divide the sum by the number of scores:
6.22/8 = .778
6.
take the square root of the resultant value:
√.778 = .882
thus,
standard deviation = .882