1. Rolling dice would produce what type of distribution? 2. Outliers have the largest effect on...

1. Rolling dice would produce what type of distribution?

2. Outliers have the largest effect on which measure of central tendency?

3.Consider the following data set: 5, 10, 24, 79, 103 . If you were told to determine the mean which formula is most appropriate to use? What other formula could you use, although it is less desirable? What would you have to keep in mind if you used this second formula?

4. The mean of 10 numbers is 8. If an 11th number is now included in the results, the mean becomes 9. What is the value of the 11th number? Produce an algebraic solution. Guess and check is unacceptable.

5. Construct your own example that demonstrates why measures of central tendency can be misleading and thus measures of the variability of data are important.

Solutions

Expert Solution

Since dice has finite number of outcomes so each time when a dice is rolled it has finite variance.

So rolling a dice will have normal distribution in the long run.

Mean is a measure of central tendency that is affected most in case of outliers.

The mean is:

Let a shows the 11th number.

The total of first 10 numbers :

New sum:

The mean is:

orchestra answered 1 year ago

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