Mascot: Number:
Bisons 17
Cougars 4
Huskies 18
Knights 32
Other 3
a. About how many students would vote for the Huskies if the entire student body of 1600 voted? About how many would vote for the Knights?
b. Suppose the students surveyed were in the spanish club. Do you think the results of the survey would fairly represent the student body? (Can you please explain to me how you get the answer.)
c. How could you survey a part of the student population that would fairly represent all students? (I need 2 examples please.)
Thank you.
If I understand your problem, only 74 students voted.
Bisons:
17/74 = about 23%
23% of 1600 = 368
a. You can follow the pattern above to answers these questions.
b. Undoubtedly only a very small percentage of the student body belongs to the Spanish club. These people are interested in Spanish language and culture and do not fairly represent the students in this school.
c. One way to accurately survey the student population would be to take an alphabetical list and survey each 20th person.
What is another way you could do this?
We'll be glad to check your answers.
a. Huskies: 18/74=about 24%
24% of 1600=384
Knights: 32/74=about 43%
43% of 1600=688
So far am I correct?
Yes. You are right. :-)
Is drawing students names out of a hat a good example?
Which type of sample is it?
Simple random sample
Systematic random sample Voluntary response sample
Convenience sample
Or Stratified random sample.
Thank you.
Drawing student names from a hat is another good example.
Isn't that a simple random sample?
a. To find out how many students would vote for a particular mascot, you can use proportional reasoning. First, calculate the percentage of votes each mascot received by dividing the number of votes by the total number of votes cast:
Huskies: 18 / (17 + 4 + 18 + 32 + 3) = 18 / 74 ≈ 0.243
Knights: 32 / (17 + 4 + 18 + 32 + 3) = 32 / 74 ≈ 0.432
Then, you can multiply the percentage by the total number of students (in this case, 1600) to estimate the number of students who would vote for each mascot:
Huskies: 0.243 * 1600 ≈ 394 students
Knights: 0.432 * 1600 ≈ 691 students
So, about 394 students would vote for the Huskies and about 691 students would vote for the Knights.
b. To determine whether the results of the survey would fairly represent the student body, you need more information about the demographics of the Spanish Club and the entire student body. If the demographics of the Spanish Club closely resemble those of the entire student body, then the results of the survey may be considered representative. However, if the Spanish Club is not a diverse or random subset of the student body, the survey results may not accurately reflect the opinions of all students.
c. To survey a part of the student population that would fairly represent all students, you can use the following two examples:
1. Random Sampling: Randomly select a subset of students from the entire student body to participate in the survey. This method ensures that every student has an equal chance of being included in the sample, and thus, the results are more likely to be representative of the whole population.
2. Stratified Sampling: Divide the student population into different strata based on relevant characteristics, such as grade level or major. Then, randomly sample students from each stratum proportionally to their representation in the overall population. This technique ensures that the sample captures the diversity within the student body and produces more accurate and representative results.