Question

The smaller the variability in a population:

Select one:

a. The larger the range.

b. The larger the standard deviation.

c. The larger the standard error of the mean.

d. The smaller the standard error of the mean.

Answer 1

Solution:

Given: The smaller the variability in a population.

      If variability in data is small, that means dispersion or spread of observations around mean value is small. Then in that case range of given data is also small. So first option a) is incorrect.

Standard deviation gives average amount of variation or dispersion or spread of observation around the mean value.

Thus as variability in a population then standard deviation is also small.

Also standard error depends on standard error , as standard deviation increases , standard error increases and as standard deviation decreases, standard error also decreases. Thus option b) and c) are incorrect.

Thus correct option is: d) The smaller the standard error of the mean.