GKT101: General Knowledge for Teachers – Math

 1. Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is $21$ wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top $200$ longest streaks in the world in June had an average of about $63$ wins in a row.

For which population is $63$ wins a legitimate estimate of the average longest streak?

Choose 1 answer:

(A) Only the top $200$ longest streaks worldwide in June

(B) Only the top $200$ longest streaks in Canada in June

(C) Only the top $200$ longest streaks worldwide from all time

(D) Only the top $200$ longest streaks in Canada from all time

(E) The longest streaks for all players worldwide in June

2. An administrator at a large university is curious how students rate the quality of the athletic facilities at the university. They decide to survey a random sample of $80$ students who participate in the university's intramural football league. The survey shows that $54 \%$ of those asked said they were "very satisfied" with the athletic facilities.

For which population is $54 \%$ a legitimate estimate of the percent of students that are "very satisfied" with the athletic facilities?

Choose 1 answer:

(A) Only students in the survey

(B) All students at the university who participate in the intramural football league

(C) All students at the university, but only those who play an intramural sport

(D) All students at the university, but only those who use the athletic facilities

(E) All students at the university

3. A large gym with hundreds of members offers yoga classes. Members are free to take these classes at no charge, but not all members are interested, and some never take advantage of the yoga classes. Nonmembers can also take these classes, but they must pay a fee for each class.

A manager at the gym is curious about overall satisfaction with these yoga classes, so they survey a large random sample of anyone who has taken a yoga class at the gym in the past year. They find that $78 \%$ of those surveyed are "very satisfied" with the yoga classes.

For which population is $78 \%$ a legitimate estimate of the percent of people that are "very satisfied" with the yoga classes?

Choose 1 answer:

(A) Only those surveyed

(B) All members who have taken a yoga class at the gym in the past year, but not non-members

(C) All non-members who have taken a yoga class at the gym in the past year, but not members

(D) Anyone who has taken a yoga class at the gym in the past year, but not before that

(E) Anyone who has ever taken a yoga class at the gym

4. A news program invites its viewers to call in and share their position on a proposed tax increase. Ninety percent of the viewers that call in say that they will vote against the tax increase.

For which population is $90 \%$ a legitimate estimate of the percent of voters who will vote against the tax increase?

Choose 1 answer:

(A) Only those viewers who called in

(B) Only viewers of this particular episode

(C) Only regular viewers of the show

(D) Only those who have watched this show at some point

(E) All voters

5. First-year students at a certain large university are required to live on campus in $1$ of the $24$ available residence halls. After their first year, students have the option to live away from campus, but many choose to continue living in the residence halls. Estella oversees $12$ of these residence halls. Her department surveyed a large simple random sample of first-year students who live in those $12$ residence halls about their overall satisfaction with campus living.

Estella can safely generalize the results of the survey to which population?

Choose 1 answer:

(A) Only those students who were surveyed

(B) All first-year students, but only those who live in these $12$ residence halls

(C) All students (first-year and not), but only those who live in these $12$ residence halls

(D) All first-year students at the entire university, but not students beyond their first-year

(E) All students at the university

6. Ava is considering moving to a neighborhood in a different city and state than where she currently lives. To better understand home prices in that area, she looks up the values for a large random sample of homes in that city and calculates their average price.

Ava can safely generalize this result to which population?

Choose 1 answer:

(A) Only homes in the sample

(B) All homes in that neighborhood, but not the entire city

(C) All homes in that city, but not the entire state

(D) All homes in the entire state, but not the entire country

(E) All homes in the entire country

7. Various types of doctors attended a large medical conference. Someone leading a session asked the $30$ doctors in attendance how many years of experience they each had. The $15$ dermatologists at the session had an average of $8$ years of experience.

For which population is 8 years a legitimate estimate of the average experience?

Choose 1 answer:

(A) The dermatologists at that session only

(B) All doctors at that session only

(C) All dermatologists at that conference only

(D) All doctors at that conference only

(E) All dermatologists