Determine whether each of the following statements is true or false, and explain why in a...

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Basic Math

Determine whether each of the following statements istrue or false, and explain why in a few sentences.
1. The mean, median, and mode of a normal distributionare all equal.
2. If the mean, median, and mode of a distribution areall equal, then the distribution must be a normaldistribution.
3. If the means of two distributions are equal, then thevariance must also be equal.
4. The sample mean is not the same as the populationmean.
5. The mode of a distribution is the middle element ofthe distribution.
6. A large variance indicates that the data are groupedclosely together.
Answer the following questions in a fewsentences.
7. What is meant by the range of adistribution?
8. How are the variance and the standard deviation of adistribution related? What is measured by the standarddeviation?
9. Describe the characteristics of a normaldistribution.
10. What is meant by a skewed distribution?

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1 The mean median and mode of a normal distribution are all equal True The mean median and mode of a normal distribution are equal The area under the normal curve is equal to 10 2If the mean median and mode of a distribution are all equal then the distribution must be a normal distribution True The midpoint of the normal distribution is also the point at which three measures fall themean median and mode In a perfectly normal distribution these three measures are all the same number 3 If the means of two distributions See Answer

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