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Sidney questioned $7$ violinists in the national orchestra. $\newline$ Is this sample of violinists in general 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. Sidney questioned

7

violinists in the national orchestra.

\newline

Is this sample of violinists in general likely to be representative?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Sample Size Consideration: Understand the size of the sample compared to the general population. $\newline$ A sample of $7$ violinists is very small compared to the total number of violinists in a national orchestra or in general.
Diversity and Randomness: Consider the diversity and randomness of the sample. If the sample is not randomly selected or does not reflect the diversity of the entire group, it may not be representative.
Comparison to Statistical Standards: Compare the sample size to typical standards in statistical sampling. Generally, larger samples are more likely to be representative of the population; a sample size of $7$ is typically considered too small for generalization.

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