IXL | Make an estimate from sample data

A restaurant owner is redesigning her restaurant and receives a shipment of 320 new drink glasses. She checks a random sample of 16 glasses and finds that 2 are broken.

Based on this sample, how many glasses in the shipment should the restaurant owner expect to be broken?

glasses

ref_doc_title.

Learn with an example

question

An entomologist is checking the health of approximately 8,000 insects in a marsh. He inspects 100 randomly selected insects and finds that 11 are diseased.

Based on this sample, how many insects in the marsh should the entomologist expect to be diseased?

insects

key idea

A population is a group that is being studied. A sample is a smaller part of that group.

A random sample can be used to make inferences about an entire population.

solution

To find how many insects in the marsh the entomologist should expect to be diseased, you can write and solve a proportion.

In the random sample, 11 out of 100 insects are diseased. There are about 8,000 insects in the marsh. Let

represent the number of insects in the marsh the entomologist should expect to be diseased.

100

8,000

100

8,000

Multiply both sides by 8,000

8,000

Multiply both sides by 8,000

880

Based on the sample, the entomologist should expect about 880 insects in the marsh to be diseased.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

L.12Solve proportions

HH.9Identify representative, random, and biased samples

GG.2Interpret line plots

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