Interpretation of Standard Deviation for different distributions There are two different populations with unknown distributions but the standard deviation of each of them is known.
Can I conclude that the population with higher standard deviation is more spread out than the population with lower standard deviation or two population has to follow the same distribution to compare how spread out the population is.

There's a really useful rule known as Chebychev's inequality. It states that for any distribution, you will find at least 1-1/k² observations inside k standard deviations.
This means that you are guaranteed to find 75 % of the observations inside 2 standard deviations, 88 % inside three, and so on.
So yes, your intuition is correct. The larger standard deviation means you have to account for a wider spread of values.
