(4 + 6 + 8 + 10 + 12 + 14) / 6 = 9
(4 - 9)^2 = 25
(6 - 9)^2 = 9
(8 - 9)^2 = 1
(10 - 9)^2 = 1
(12 - 9)^2 = 9
(14 - 9)^2 = 25
√[(25 + 9 + 1 + 1 + 9 + 25) / 6]
√(70/6)
√(35/3)
3.4156502553198661277403462268404
3.42
Edit.....since the set of data is the complete population you divide by n and NOT (n - 1)
if these numbers had been chosen from a greater group of numbers. you would divide by n - 1
(4 - 9)^2 = 25
(6 - 9)^2 = 9
(8 - 9)^2 = 1
(10 - 9)^2 = 1
(12 - 9)^2 = 9
(14 - 9)^2 = 25
√[(25 + 9 + 1 + 1 + 9 + 25) / 6]
√(70/6)
√(35/3)
3.4156502553198661277403462268404
3.42
Edit.....since the set of data is the complete population you divide by n and NOT (n - 1)
if these numbers had been chosen from a greater group of numbers. you would divide by n - 1
-
mean = 9 (it's just the average)
std. deviation = √(14)
Use this formula for standard deviation:
std. dev = √[Σ(x - a)^2/(n - 1)]
where x is each value in the set of numbers,
a is the average of the values,
and n is the number of numbers in the set of numbers.
Cheers!
std. deviation = √(14)
Use this formula for standard deviation:
std. dev = √[Σ(x - a)^2/(n - 1)]
where x is each value in the set of numbers,
a is the average of the values,
and n is the number of numbers in the set of numbers.
Cheers!
-
Mean = 9
SD =3.74
SD =3.74