Isabelle spoke with the 13 donors who gave the most money. Is this sample of the donors likely to be representative? Choices: (A)yes (B)no

Understand the problem: Step 1: Understand the problem. Isabelle spoke with the 13 donors who gave the most money. We need to determine if this sample is likely to be representative of all donors.Analyze the sample: Step 2: Analyze the sample. The sample consists of the top 13 donors. This group is likely to have characteristics, such as donation amounts, that are not typical of all donors.Compare to general population: Step 3: Compare the sample to the general population. A representative sample should reflect the diverse characteristics of the entire population. Since the sample only includes the highest donors, it is skewed towards higher donation amounts and may not represent the average donor's behavior.Make a conclusion: Step 4: Make a conclusion based on the analysis. Since the sample is biased towards high donors, it is not representative of the entire donor population.

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Isabelle spoke with the $13$ donors who gave the most money. $\newline$ Is this sample of the donors likely to be representative? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 7

Identify representative, random, and biased samples

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Q. Isabelle spoke with the

13

donors who gave the most money.

\newline

Is this sample of the donors likely to be representative?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the problem: Step $1$ : Understand the problem. $\newline$ Isabelle spoke with the $13$ donors who gave the most money. We need to determine if this sample is likely to be representative of all donors.
Analyze the sample: Step $2$ : Analyze the sample. $\newline$ The sample consists of the top $13$ donors. This group is likely to have characteristics, such as donation amounts, that are not typical of all donors.
Compare to general population: Step $3$ : Compare the sample to the general population. $\newline$ A representative sample should reflect the diverse characteristics of the entire population. Since the sample only includes the highest donors, it is skewed towards higher donation amounts and may not represent the average donor's behavior.
Make a conclusion: Step $4$ : Make a conclusion based on the analysis. $\newline$ Since the sample is biased towards high donors, it is not representative of the entire donor population.