Question

the mean test scores with standard deviations of four english classes are given below.

class	mean	standard deviation
mrs. rijo	82	1.4
mr. phan	73	3.4
mrs. scott	90	6.1

which statement is most likely to be true?

• the scores of mrs. scotts class are the closest to the class mean.
• the scores of mr. phans class are the closest to the class mean.
• the scores of mrs. joness class are the closest to the class mean.
• the scores of mrs. rijos class are the closest to the class mean.

Explanation:

Step1: Recall SD meaning

Standard deviation (SD) measures data spread around the mean. Smaller SD means scores are closer to the mean.

Step2: Compare SD values

• Mrs. Jones: \(1.9\)
• Mrs. Rijo: \(1.4\)
• Mr. Phan: \(3.4\)
• Mrs. Scott: \(6.1\)

Step3: Identify smallest SD

The smallest SD is \(1.4\) (Mrs. Rijo's class), so her class scores are closest to the mean.

Answer:

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