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Rose did $95$ random math problems from each math book in her library. Each math book in the library has an equal number of problems. $\newline$ Is this sample of the math problems in the library likely to be representative? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify representative, random, and biased samples

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Q. Rose did

95

random math problems from each math book in her library. Each math book in the library has an equal number of problems.

\newline

Is this sample of the math problems in the library likely to be representative?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Concept of Representative Sample: Understand the concept of a representative sample. A representative sample accurately reflects the distribution of a larger population.
Sampling Method Analysis: Analyze the sampling method. $\newline$ Rose did $95$ random math problems from each book, ensuring each book is equally represented.
Sample Size Consideration: Consider the size of the sample. Since Rose used a random selection and covered each book equally, the sample size of $95$ problems per book is likely sufficient to represent the variety within each book.
Conclusion on Sample Representation: Conclude if the sample is representative. $\newline$ Given the random selection and equal representation of each book, the sample is likely to be representative of the overall content of the math problems in the library.

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