yes, it can be smaller, equal or larger to the true value of the population varience.
The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.
If I take 10 items (a small sample) from a population and calculate the standard deviation, then I take 100 items (larger sample), and calculate the standard deviation, how will my statistics change? The smaller sample could have a higher, lower or about equal the standard deviation of the larger sample. It's also possible that the smaller sample could be, by chance, closer to the standard deviation of the population. However, A properly taken larger sample will, in general, be a more reliable estimate of the standard deviation of the population than a smaller one. There are mathematical equations to show this, that in the long run, larger samples provide better estimates. This is generally but not always true. If your population is changing as you are collecting data, then a very large sample may not be representative as it takes time to collect.
smaller
Either one can be larger (or smaller) than the other.
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
larger
A community is typically a smaller portion of a larger population. For instance, a city may have a larger population but be broken down into smaller communities.
Insect population is larger.
The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.
No. The standard deviation is the square root of the variance.
China has a much larger population than the United States. So China is larger when measured by population. The area of China is slightly smaller than the area of the US.
A larger random sample will always give a better estimate of a population parameter than a smaller random sample.
it is smaller because it is only the individuals who can breed
No, never.
In some states the population is larger, in some smaller.
Boston has a smaller city population (617,594) but a larger Metropoolitan population (4,522,858).
Cation is always smaller than corresponding neutral atom.