Question

Two teachers compared the mean absolute deviation of the scores from the semester exam they gave to their students. Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. What can we conclude? * 10 points A. Mrs. Alvarez's scores were lower than Mr. Crawford's scores. B. Mrs. Alvarez's scores were more spread out than Mr. Crawford's scores. C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores. D. Mrs. Alvarez's scores were higher than Mr. Crawford's scores.

Answer 1

C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Explanation:

Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data

Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.

The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out

The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out

We are told in the question that:

Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Option 2 is correct.