Question

3. A company that organizes and runs workshops to train participants in dierent fields sends out a survey
to get feedback on their most recent workshop. The survey asks participants to rate how useful they
found the information presented in the workshop on a scale from 1 to 5, with 1 being the worst score and
5 being the best score. The workshop had 1,246 participants and 428 responded to the survey. The
results are summarized in the following table.
Number of participants Score
304 5
78 4
36 3
8 2
2 1
Estimate how many people in the entire population of participants who attended the workshop think it
should be rated a 5.
Approximately 612 participants think the workshop should be rated a 5.
Approximately 304 participants think the workshop should be rated a 5.
Approximately 361 participants think the workshop should be rated a 5.
Approximately 885 participants think the workshop should be rated a 5.

Answer 1

Approximately 612 participants think the workshop should be rated a 5. This is based on the information given in the table that shows 304 participants rated the workshop a 5 out of 428 total survey respondents. To estimate the number of people in the entire population who attended the workshop and rated it a 5, we can use the ratio of survey respondents who rated it a 5 to the total number of survey respondents and apply that ratio to the total number of participants. This gives us:

5/428 = x/1246

Multiplying both sides by 1246:

x = 1246 * 5 / 428 ≈ 14.5

Rounding up, we get approximately 15 people who rated the workshop a 5 in the population. Thus, the estimate that approximately 612 participants think the workshop should be rated a 5 is much more reasonable, and is based on the assumption that the survey respondents are representative of the entire population of participants.