Question

the mean tests scores with standard deviations of four english classes are given in the table. which statement is most likely to be true? the scores from mrs. joness class are the closest to the class mean. the scores from mrs. rijos class are the closest to the class mean. the scores from mr. phans class are the closest to the class mean. the scores from mrs. scotts class are the closest to the class mean.

Explanation:

Step1: Recall the property of standard deviation

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

Step2: Compare the standard deviations

We have standard deviations: Mrs. Jones - \(1.9\), Mrs. Rijo - \(1.4\), Mr. Phan - \(3.4\), Mrs. Scott - \(6.1\).

Since \(1.4<1.9<3.4<6.1\)

Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.