the mean test scores with standard deviations of four english classes are given below.\n| class | mean |…

the mean test scores with standard deviations of four english classes are given below.\n| class | mean | standard deviation |\n| mrs. jones | 89 | 1.9 |\n| mrs. rijo | 82 | 1.4 |\n| mr. phan | 73 | 3.4 |\n| mrs. scott | 90 | 6.1 |\nwhich statement is most likely to be true?\no the scores of mrs. scotts class are the closest to the class mean.\no the scores of mr. phans class are the closest to the class mean.\no the scores of mrs. joness class are the closest to the class mean.\no the scores of mrs. rijos class are the closest to the class mean.

the mean test scores with standard deviations of four english classes are given below.\n| class | mean | standard deviation |\n| mrs. jones | 89 | 1.9 |\n| mrs. rijo | 82 | 1.4 |\n| mr. phan | 73 | 3.4 |\n| mrs. scott | 90 | 6.1 |\nwhich statement is most likely to be true?\no the scores of mrs. scotts class are the closest to the class mean.\no the scores of mr. phans class are the closest to the class mean.\no the scores of mrs. joness class are the closest to the class mean.\no the scores of mrs. rijos class are the closest to the class mean.

Answer

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data. A smaller standard deviation means data points are closer to the mean.

Step2: Compare standard deviations

We have standard deviations: Mrs. Jones ($1.9$), Mrs. Rijo ($1.4$), Mr. Phan ($3.4$), Mrs. Scott ($6.1$). Since $1.4<1.9<3.4<6.1$, Mrs. Rijo's class has the smallest standard deviation.

Answer:

The scores of Mrs. Rijo's class are the closest to the class mean.