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Sample Mean

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AP Statistics

Definition

The sample mean is the average of a set of observations or data points taken from a larger population.

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Practice Questions (6)

A biologist wants to determine if the average lifespan of a certain species of bird is less than 5 years. They collect data from a random sample of 50 birds and calculate the sample mean lifespan to be 4.8 years and the sample standard deviation to be 0.3 years. Which of the following procedures should they use?
A researcher wants to estimate the mean weight of a certain breed of dogs. He collects data from a random sample of 50 dogs and calculates the sample mean weight to be 25 pounds. Which of the following procedures should he use?
In which scenario can you use the sampling distribution of the sample mean to model using a normal distribution?
What is the center of the sampling distribution for the sample mean when the true population mean is $45,000 per year?
When can the sampling distribution of a sample mean be approximated as normal, regardless of the actual population distribution?
Which of the following of the sampling distribution of the sample mean is also called the standard error of the mean?

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