IQ and GPA Scores Analysis - Research Paper Example

14 students fell one standard deviation below the test mean, and 6 students fell two standard deviations below the test mean.

Percentage of students with IQ≤70 = (5/30)*100% = 16.67%.

Percentage of students with IQ≥100= (9/30)*100% = 30%.

The first assumption from the test results is that the test was academic since the students who had high GPA scores had the highest scores for IQ. This could also be an indication of the acuity of the students.

Having a correlation of .87 between the GPA scores and the IQ score means that a student who had a high GPA score is more likely to have a high IQ score. The correlation means that the IQ scores can be predicted by considering the GPA score, a high GPA score would indicate a high IQ and a low GPA would indicate a low IQ.

The limitation if the study is from a rural school is that the quality of the data would be affected because the students take English as a second language. In this case, the test would not be valid because the students would fail because of the language barrier. Comparing the sample mean to a population would require the use of a z-test because the expected sample size would be huge; t-tests would be used if the sample is small (n<30) (Black, 2003; Triola, 2003). The main similarity between the two tests is that they will always give the same output, only affected by the size of the sample.