Suppose you are interested in the population of all elementary school students i

Question

Suppose you are interested in the population of all elementary school students in Missoula County. Suppose also that we collect information from a (non-random) sample of 30 elementary school students at a particular elementary school. Identify each of the following as either a parameter or statistic. Also include the appropriate corresponding symbol used to denote it.

a)The average score received on a standardized math test by the 30 students sampled.

b)The standard deviation of the standardized math scores for all elementary school students in Missoula County.

c)The proportion of elementary school students in Missoula County participating in after-school programs.

d)The proportion of the 30 students sampled who participate in after-school programs.

Explanation / Answer

Parameters are related to the whole population and Statistics are based on only samples i.e part of the population.

Parameters are fixed but statistics are variables as from sample to sample their values may change.

a)The average score received on a standardized math test by the 30 students sampled. - As this is based on only samples it is a statistic.

b)The standard deviation of the standardized math scores for all elementary school students in Missoula County.- As it is based on the whole population hence it is a parameter.

c)The proportion of elementary school students in Missoula County participating in after-school programs. - it is based on the whole population so its a parameter

d)The proportion of the 30 students sampled who participate in after-school programs - It is based on samples so it is a statistic.

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