Your school has received a grant to upgrade the school library. The librarians used a random sample of 50 students from the entire school. Of the 50 students, 27 would like to see more laptops available for student use. What can be inferred from this information?
Drama Club Data of Tickets Sold:19, 23, 11, 30, 27, 27, 22, 26, 16, 24Calculate the mean:
Mr. Rodriguez used a random sample of 20 students from each grade at Willowbrook School to determine their favorite types of reading material. He made a graph of the results. What can he infer from the results?
Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain.
Mr. Rodriguez made a reasonable inference. The sample was randomly chosen and representative of the different grade levels, which reduces bias. Also, 12 out of 60 students is exactly 20% (12/60 = 0.2), and a sample size of 60 out of 150 total students is a large enough percentage of the population to draw a valid conclusion.
The basketball players at Rafael’s middle school are selling T-shirts, and he wants to determine the average number of shirts that have been sold. First he surveyed five members of the 7th-grade boys basketball team. Then he surveyed every third basketball player on the boys and girls 6th- through 8th-grade basketball teams. Which sampling technique should produce a more representative sample?
What is the ratio of the total number of students who did not read books to the total number of students surveyed?
When Jeremy surveyed thirty 7th-grade students at the community pool, he found that 2/15 had not read at least one book during July. He knows there are about 200 7th-grade students in his community, so he infers that about 40 of them did not read any books in July. Is that a good inference? Explain.
No, Jeremy did not make a good inference. First, his calculation is incorrect: 2/15 of 200 is approximately 27 students, not 40. Additionally, the sample may be biased because he only surveyed students at a community pool, which might not represent the entire population of 7th graders in his community.
Homeroom Data of Tickets Sold:20, 15, 19, 16, 10Calculate the mean: Drama Club Data of Tickets Sold:19, 23, 11, 30, 27, 27, 22, 26, 16, 24Calculate the mean:
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Compare the means. Is one sample a better representation? Explain why or why not.
The sample from the drama club is a more accurate sample. It is a random sample that represents the target population and it is large enough for inferences.
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