Problem Solving

Which of the following data sets has the third largest standard deviation?
{1, 2, 3, 4, 5}
{2, 3, 3, 3, 4}
{2, 2, 3, 3, 5}
{0, 2, 3, 4, 6}
{1, 3, 4, 5, 7}

OA A how?

from range we can know sd.
1 5-1=4
2 4-2=2
3 5-2=3
4 6-0=6
5 7-1=6 therefore 4 % fifth are has greatest sd, then comes 1st and and the ans 3

Pls explain where I am wrong

range and sd are not same.
1) mean = 3. variation = [(3-1)^2 + (3-2)^2 + (3-3)^2 + (3-4)^2 + (3-5)^2 ]/5 = 2
2) mean = 3. variation = 2/5
3) mean = 3. variation = 6/5
4) mean = 3. variation = 4
5) mean = 4. variation = 4
sd = root(variation)
Thus IMO A