Question

Why do we compare means instead of individual scores? for comparing average SAT test scores across the various bachelors batches which test would we use and why?

Answer 1

Mean refers to the average which is used in our everyday lives frequently to express any amount of data for a typical group of people or things. We consider mean as a better alternative rather than taking the individual data because it would just increase our work. Calculating the comparasions made between each single data is difficult. Mean are useful as they summarise a large amount of values available to a single value and tells us that there is a presence of variability around this single value within the original data. Thus, it helps us easily to compare the values of different dataset available to make better decisions.

For comparing the average SAT marks of the bachelor students we would again take the mean of the students of every class to see which class performed better. For this, one sample t test could be conducted where the average of two dataset are compared to see and conduct the analysis and results.