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How do a parameter and a statistic​ differ? Choose the correct answer below.

A. A parameter is a numerical measurement of a​ sample; a statistic is a numerical measurement of a population.
B. A parameter is a numerical measurement of a​ population; a statistic is a numerical measurement of a sample.
C. A parameter is a qualitative measurement of a​ sample; a statistic is a qualitative measurement of a population.
D. A parameter is a qualitative measurement of a​ population; a statistic is a qualitative measurement of a sample.

User Pyfork
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2 Answers

7 votes

Final answer:

A parameter is a numerical measurement of a population, and a statistic is a numerical measurement of a sample. The 50 percent figure from a survey of high school seniors about their post-graduation plans is an example of a statistic.

Step-by-step explanation:

A parameter and a statistic differ in that a parameter is a numerical characteristic of an entire population, whereas a statistic is a numerical characteristic of a sample taken from that population. For example, if we were to calculate the average height of all students in a school, that average would be a parameter because it includes the entire population of interest. However, if we calculate the average height of students in a single classroom of that school, that average would be a statistic as it represents a sample of the entire school population.

In the given scenario where the U.S. federal government conducts a survey of high school seniors and finds that fifty percent are planning to attend a four-year college or university in the following year, that fifty percent figure is an example of a statistic because it is likely derived from a sample of the entire population of high school seniors.

User Long Tran
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6.7k points
6 votes

Answer:

B.

Step-by-step explanation:

A parameter is a summary measure computed to describe a characteristic of the population and it involves the measurement of all in the population numerically/quantitatively. e.g Average of all the values measured in the population

A statistic is a measurement based on sample observations.

Examples of statistics constructed from a random sample : [
X_(1).....X_(n)

(a) max
(x_(1)....x_){n}

(b) Average of the observed values

(c) Range = max - min

User Ybo
by
7.3k points
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