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# mean, median, mode

[1] Find the mean, median, and mode of the weights of bears given in Data Set 3 (this data set may be found in the back of your text).

[2] Find the standard deviation of the weights of bears given in Data Set 3. See attached

[3] Based on this data, at what weight would a bear be considered unusually heavy? How many of the bears are unusually heavy?

[4] What is the probability that a bear selected at random would be unusually heavy? What is the probability that a bear selected at random would not be unusually heavy?

[5] What is the probability that a bear selected at random has a weight less than 200 pounds or greater than 60 pounds?

[6] Organize the weights of bears into a frequency table with seven weight classes.

[7] From your frequency table create a frequency histogram and a relative frequency histogram. (You will need information from your relative frequency histogram to help answer problem 8 below.)

[8] What is the probability that a bear's weight would fall into the third weight class? What is the probability that four bears, picked at random, will have weights that fall into the third weight class?

[9] Seven bears are to be randomly selected for "Special Bear Testing." How many different groups of bears are possible?

[10] What is the probability that the first seven bears will be selected for special testing?
What is the probability that the last seven bears will be selected for special testing?

All of the analysis above depends on a getting a good sample. What sampling issues would you need to address to make sure your results are reliable?

#### Solution Summary

[1] Find the mean, median, and mode of the weights of bears given in Data Set 3 (this data set may be found in the back of your text).

[2] Find the standard deviation of the weights of bears given in Data Set 3. See attached

[3] Based on this data, at what weight would a bear be considered unusually heavy? How many of the bears are unusually heavy?

[4] What is the probability that a bear selected at random would be unusually heavy? What is the probability that a bear selected at random would not be unusually heavy?

[5] What is the probability that a bear selected at random has a weight less than 200 pounds or greater than 60 pounds?

[6] Organize the weights of bears into a frequency table with seven weight classes.

[7] From your frequency table create a frequency histogram and a relative frequency histogram. (You will need information from your relative frequency histogram to help answer problem 8 below.)

[8] What is the probability that a bear's weight would fall into the third weight class? What is the probability that four bears, picked at random, will have weights that fall into the third weight class?

[9] Seven bears are to be randomly selected for "Special Bear Testing." How many different groups of bears are possible?

[10] What is the probability that the first seven bears will be selected for special testing?
What is the probability that the last seven bears will be selected for special testing?

All of the analysis above depends on a getting a good sample. What sampling issues would you need to address to make sure your results are reliable?

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