A random sample is a type of sample that is the subset of the population without any bias to make inferences about the entire population. Here, the population refers to the random information provided. The random samples are highly likely to contain data that can be used to make predictions about the whole population. Students use the data from random samples to make inferences for the population.
Here is an example to make inferences through random samples. Let’s look at the given example mentioned below to understand inferences through random samples.
Q. A pizza store surveyed a random sample of 60 trinity food festival attendees about their favorite type of pizza. 30 of them said that the sausage pizza is their favorite. There are a total of 1600 attendees. Find a reasonable estimate.
Step 1: 30 / 60 of the attendees have sausage pizza as their favorite.
Step 2: Now, multiply the fraction by the total number of trinity food festival attendees.
So,
30 / 60 * 1600 = 0.5 * 1600
Answer: 0.5 * 1600 = 800.
You can download and print these super fun-making inferences through random sample worksheets from here for your students. You can also try our Estimate Population Using Random Samples Problems and Estimate Population Using Random Samples Quiz as well for a better understanding of the concepts.
