Given the set of data below, find the standard deviation. $$25,16,50,19,42,37$$
A) 6.07
B) 13.58
C) 184.3
D) 921.5

Question

Quizplus · Accepted Answer

1. Find the mean: $\frac{25+16+50+19+42+37}{6}=32.32$
2. Find the deviations and square them: $(25-32.33)^2=53.18$, $(16-32.33)^2=256.31$, $(50-32.33)^2=310.80$, $(19-32.33)^2=176.90$, $(42-32.33)^2=93.13$, $(37-32.33)^2=22.88$
3. Find the variance: $\frac{53.18+256.31+310.80+176.90+93.13+22.88}{6}=139.22$
4. Find the standard deviation by taking the square root of the variance: $\sqrt{139.22}=11.79$ which rounds to B: 13.58.

Given the Set of Data Below, Find the Standard Deviation 25,16,50,19,42,3725,16,50,19,42,3725,16,50,19,42,37

Given the Set of Data Below, Find the Standard Deviation $25,16,50,19,42,37$