High School

In the subject of ___________, if we want to find whether the first-year class at our college has higher scores on the SAT writing test than the national average for the test, we would compute:

a) Mean and Standard Deviation of SAT writing scores for the first-year class and compare with the national average.

b) Median and Range of SAT writing scores for the first-year class and compare with the national average.

c) Mode and Interquartile Range of SAT writing scores for the first-year class and compare with the national average.

d) Frequency distribution of SAT writing scores for the first-year class and compare with the national average.

Answer :

In the subject of statistics, if we want to determine whether the first-year class at a college has higher scores on the SAT writing test than the national average for the test is Mean and Standard Deviation of SAT writing scores for the first-year class and compare with the national average correct option is a.

To ascertain if the college's scores differ from the national average, computing the mean (average) and standard deviation of the college's SAT writing scores is crucial. The mean showcases the typical score, aiding in comparing it directly with the national average.

Simultaneously, the standard deviation illustrates the dispersion or spread of scores around the mean. If the college's mean SAT writing score significantly deviates from the national average.

It suggests a substantial difference between the college's first-year class scores and the national average. Therefore, analyzing the mean and standard deviation allows for an informed comparison, determining if the college's scores diverge from the national norm.