How to Use Descriptive Statistics for Test Scores

Measures of Central Tendency and Variation for ACT Scores of the Class Population . 

Measures of Central Tendency and Variation for SAT Scores of the Class Population. 

Use the coefficient of variation to compare the scores of the two tests. What can you conclude? Note: You will have two covariance calculations for this part. 

These results show that 10.50% of ACT scores are equal to the mean score, while 24.50% of the SAT scores are equal to the mean score. 

Using speculation, on which test do you think Abigail performed better when compared with her classmates? Why? 

ACT 

She scores higher than any other student in this test as compared to SAT which she scores much lower than other students. 

What percentile corresponds with Abigail’s ACT score? What percentile corresponds with Abigail’s SAT score? 

Using the percentiles for Abigail’s test scores, on which test did Abigail perform better when compared with her classmates? How did this compare to your answer for part E? Why can we use the percentiles to better compare her scores? 

ACT test. 

It is the same the answer I provided in part E 

Percentiles show the relative standing of any given value in the data. This measure is considered the better measure of comparing a particular value with other values in the data.