Answer :
Final answer:
The normal distribution features a bell-shaped curve, equal mean, median, and mode, and follows the 68-95-99.7 rule. Student test scores are an example of normally distributed data, while household incomes are an example of non-normally distributed data.
Explanation:
List of Characteristics of Normal Distribution:
- Bell-shaped curve: The shape of the normal distribution is symmetric and forms a bell-shaped curve.
- Mean, Median, and Mode are Equal: In a normal distribution, the mean, median, and mode all have the same value.
- 68-95-99.7 Rule: Approximately 68% of data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations from the mean.
Example of Normally Distributed Data:
Student Test Scores: Test scores of a large group of students are typically normally distributed as intelligence, study habits, and other factors contribute to a bell curve distribution of scores.
Example of Non-Normally Distributed Data:
Household Incomes: Household incomes are not normally distributed due to factors like income inequality leading to a skewed distribution.
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