Tristan questioned 17 members of the city's gym. Is this sample of the city's residents likely to be biased? Choices: (A)yes (B)no

Understand the problem: Step 1: Understand the problem. Tristan surveyed 17 members of the city's gym to represent the city's residents. We need to determine if this sample is likely to be biased.Analyze sample source: Step 2: Analyze the source of the sample. The sample comes only from gym members, which might not represent the entire population of the city, as not all residents may be gym members. This could include different age groups, health conditions, or interests.Consider population diversity: Step 3: Consider the diversity of the population. A city's population is diverse, including people of various ages, professions, and lifestyles. Gym members might share similar interests in fitness and health, which does not reflect the entire demographic and lifestyle diversity of the city.Conclude sample bias: Step 4: Conclude if the sample is biased. Since the sample is taken only from a specific group (gym members) that does not represent the whole city's population, the sample is likely to be biased.

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Tristan questioned $17$ members of the city's gym. $\newline$ Is this sample of the city's residents likely to be biased? $\newline$ 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. Tristan questioned

17

members of the city's gym.

\newline

Is this sample of the city's residents likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand the problem: Step $1$ : Understand the problem. $\newline$ Tristan surveyed $17$ members of the city's gym to represent the city's residents. We need to determine if this sample is likely to be biased.
Analyze sample source: Step $2$ : Analyze the source of the sample. $\newline$ The sample comes only from gym members, which might not represent the entire population of the city, as not all residents may be gym members. This could include different age groups, health conditions, or interests.
Consider population diversity: Step $3$ : Consider the diversity of the population. $\newline$ A city's population is diverse, including people of various ages, professions, and lifestyles. Gym members might share similar interests in fitness and health, which does not reflect the entire demographic and lifestyle diversity of the city.
Conclude sample bias: Step $4$ : Conclude if the sample is biased. $\newline$ Since the sample is taken only from a specific group (gym members) that does not represent the whole city's population, the sample is likely to be biased.