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A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 465 with a margin of error of 15 . Which of the following is not a reasonable value for the true mean SAT score of graduating high school seniors?
476.3
447.5
475.1
455.6

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was $465$ with a margin of error of $15$ . Which of the following is not a reasonable value for the true mean SAT score of graduating high school seniors? $\newline$ $476$ . $3$ $\newline$ $447$ . $5$ $\newline$ $475$ . $1$ $\newline$ $455$ . $6$

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Interpret measures of center and variability

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Q. A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was

465

with a margin of error of

15

. Which of the following is not a reasonable value for the true mean SAT score of graduating high school seniors?

\newline

476

.

3

\newline

447

.

5

\newline

475

.

1

\newline

455

.

6

Understand Margin of Error: Understand the concept of margin of error. The margin of error gives us a range in which we can reasonably expect the true mean to lie. The range is calculated by adding and subtracting the margin of error from the given mean.
Calculate Range of Values: Calculate the range of reasonable values for the true mean SAT score. $\newline$ The given mean SAT score is $465$ , and the margin of error is $15$ . $\newline$ Lower limit = $465 - 15 = 450$ $\newline$ Upper limit = $465 + 15 = 480$ $\newline$ Reasonable values for the true mean SAT score should be between $450$ and $480$ .
Identify Outlier Value: Determine which of the given values is not within the calculated range. $\newline$ Given values: $476.3$ , $447.5$ , $475.1$ , $455.6$ $\newline$ The value $447.5$ is not within the range of $450$ to $480$ .

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