SOLUTION: Please Help I am trying... The following data lists the average monthly snowfall for January in 15 cities around the US: 13 15 26 24 44 4 20 37 31

Algebra ->  Probability-and-statistics -> SOLUTION: Please Help I am trying... The following data lists the average monthly snowfall for January in 15 cities around the US: 13 15 26 24 44 4 20 37 31       Log On


   

Question 644838: Please Help I am trying...
The following data lists the average monthly snowfall for January in 15 cities around the US:

13 15 26 24 44 4 20 37
31 3 47 21 13 28 23

Find the mean, variance, and standard deviation. Please show all of your work.
I have ...
Mean - 13+31+15+3+26+47+24+21+44+13+4+28+20+23+37=349/15=
Mean=23.27
Variance -
Can anyone help please?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Entering the Data into an Excel worksheet makes short work out of it.

mean = 23.27 , Yes  349/15

variance = 167.78, See below: (Note: Divisor is 14)

standard deviation is sqrt%28167.78%29=+12.95

x	m	(x-µ)	(x-µ)^2

13	23.27	-10.27	105.473

31	23.27	7.73	59.753

15	23.27	-8.27	68.393

3	23.27	-20.27	410.873

26	23.27	2.73	7.453

47	23.27	23.73	563.113

24	23.27	0.73	0.533

21	23.27	-2.27	5.153

44	23.27	20.73	429.733

13	23.27	-10.27	105.473

4	23.27	-19.27	371.333

28	23.27	4.73	22.373

20	23.27	-3.27	10.693

23	23.27	-0.27	0.073

37	23.27	13.73	188.513

349			2348.934 sum

23.27			167.781  sum/14