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The mean test scores with standard deviations of four English classes are given below.

\begin{tabular}{|c|c|c|}
\hline
Class & Mean & Standard Deviation \\
\hline
Mrs. Jones & 89 & 1.9 \\
\hline
Mrs. Rijo & 82 & 1.4 \\
\hline
Mr. Phan & 73 & 3.4 \\
\hline
Mrs. Scott & 90 & 6.1 \\
\hline
\end{tabular}

Which statement is most likely to be true?

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

B. The scores of Mr. Phan's class are the closest to the class mean.

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

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



Answer :

GinnyAnswer
We are given the mean test scores and standard deviations for four English classes.

To determine which class has the scores closest to their class mean, we should look at the standard deviation values of each class. The smaller the standard deviation, the closer the scores are to the mean.

The data provided is as follows:
- Mrs. Jones: Mean = 89, Standard Deviation = 1.9
- Mrs. Rijo: Mean = 82, Standard Deviation = 1.4
- Mr. Phan: Mean = 73, Standard Deviation = 3.4
- Mrs. Scott: Mean = 90, Standard Deviation = 6.1

We observe the standard deviations:
- Mrs. Jones: 1.9
- Mrs. Rijo: 1.4
- Mr. Phan: 3.4
- Mrs. Scott: 6.1

By comparing these standard deviations, the smallest standard deviation is 1.4, which belongs to Mrs. Rijo's class.

Thus, the scores of Mrs. Rijo's class are the closest to the class mean, making the statement "The scores of Mrs. Rijo's class are the closest to the class mean" the most likely to be true.

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