Question

alejandro wants to determine the average shoe size of all of the male students in his school. which sample is likely to yield the most biased results? every tenth boy on the school’s phone list every member of the boys’ basketball team every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class every fifth boy who walks through the front doors of the school in the morning

Answer 1

Answer:

B. Every member of the boys’ basketball team

Step-by-step explanation:

We are given that,

'Alejandro wants to determine the average shoe size of all the male students in his school'.

It is required to find the sample yielding the most biased results.

Now, according to the options, we get,

A. Every tenth boy on the school’s phone list

Now, this will not yield a biased result as every tenth boy on the phone list is randomly selected and the shoe sizes will vary.

B. Every member of the boys’ basketball team

This will result in a biased outcome as the members of the basketball teams are selected according to the default physical requirements and the shoe sizes will not vary by large amount.

C. Every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class

Since, again we are randomly selecting students from different age groups, their physical measurements will vary and so will result to unbiased result.

D. Every fifth boy who walks through the front doors of the school in the morning

Further, we are randomly selecting the fifth boy walking through the front door, whom may differ in age and physical measurements. So, this sample will also not yield a biased result.

Hence, option B will result in the most biased result.

Answer 2

The correct answer is:

every member of the boys’ basketball team

Explanation:

Members of a basketball team are typically taller than other people. Taller people generally have larger feet, and larger shoe sizes, than shorter people. Choosing only people from this area would be a biased sample.