Probability Review | Baamboozle - Baamboozle | The Most Fun Classroom Games!

Which of these Dot Plots likely had data taken from samples with a smaller sample size?

Dot Plot B. The sampling variability is greater.

Compare the variability in each set of data. Which statement best describes the variability between the two groups?

The variability is greater for Set 2.

True or False: If a random sample is chosen from a population that has a large cluster of points at the maximum, the sample is likely to have at least one element near the maximum. (Explain your answer.)

True. The population has the largest number of values at the maximum. Therefore the chance of selected an element at the maximum is high.

True or False: The values of a sample statistic for different random samples of the same size from the same population will always be the same. (Explain your answer).

False. The samples will most likely have different elements. This will probably make the values of the sample statistics different.

True or False: Random samples from the same population will vary from sample to sample. (Explain your answer).

True. If every element has the same chance of being selected, and you cannot tell which will be selected, it could be any combination that makes up the sample.

What is the definition of a random sample?

A sample where every element in the population has an equal chance of being selected.

Is the following an example of a population characteristic or a sample statistic? 54% of the responders to a poll at a university indicated that wealth needed to be distributed more evenly among people.

Sample statistic.

Using the dot plot of a population on the left of the picture, what can you observe about the dot plots on the right of increasing sample sizes from that population?

As the sample size increases, the dot plots of the samples begin to resemble the dot plot of the population more closely.

True or False: The concept of sampling variability only applies to sample means.

False. Sampling variability applies to any sample statistic.

To survey where the eighth grade would like to go for their class trip, who should you survey to result in a population characteristic?

You should survey the entire eighth grade.

If you were trying to estimate the number of pieces of candy in an average bag of candy, given a choice of using a sample of size 20 or a sample of size 40, which should you choose and why?

You should choose a sample of size 40 because it would result in a smaller sampling variability of the sample mean than it would be for a sample of size 20.

Which of these dot plots has a greater sampling variability? What does that imply?

Dot plot A has a greater variability. This implies it has a smaller sample size.