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Homework answers / question archive / A study was conducted at a local college to analyze the trend of average GPA of all students graduated from the college

A study was conducted at a local college to analyze the trend of average GPA of all students graduated from the college

Statistics

A study was conducted at a local college to analyze the trend of average GPA of all students graduated from the college. According to the Registrar, the average GPA for students with economics major from the class of 2016 is 3.5. The value 3.5 is:

(i) statistic

(ii) parameter

(iii) cannot be determined

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Given Information

  • A study was conducted at a local college to analyze the trend of average GPA of all students graduated from the college.
  • According to the Registrar, the average GPA for students with an economics major from the class of 2016 is 3.5.

The correct answer is (i) statistic

  • A statistic is the value of measure calculated for a portion of population, sample.
  • Here, the GPA of 3.5 is an average value of a sample of all students who graduated from the college. This sample consists of students from one particular stream (major economics) and one class (2016).

Explanation for incorrect answer

ii)Parameter is the value of a statistical measure for the entire population.

Here the population is all students who graduated from college.

Hence option ii) is incorrect.

iii)The option cannot be determined incorrectly as if the population and sample are identified in the study; one can identify the value.

Hence option iii) is incorrect.