Shapes of Distributions
Explore and identify various shapes of data distributions, including symmetric, skewed, and uniform, and understand their characteristics in Grade 12 Probability and Statistics.
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Shapes of Distributions
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Read each question carefully and provide the best answer. For graphical questions, analyze the provided diagrams to determine the characteristics of the distributions.
1. Which of the following best describes a distribution where the mean, median, and mode are approximately equal?
Skewed Left
Skewed Right
Symmetric
Uniform
2. A distribution with a long tail extending to the left is considered:
Positively skewed
Negatively skewed
Symmetric
Bimodal
1. A distribution where all values have approximately the same frequency is called a distribution.
2. In a positively skewed distribution, the is typically greater than the median.
3. The shape of a normal distribution is often referred to as a curve.
1. Describe the key characteristics of a symmetric distribution.
2. Explain the difference between a distribution that is skewed left and one that is skewed right.
Analyze the following histogram and determine the shape of its distribution. Justify your answer.
1. In a perfectly symmetric distribution, the mean, median, and mode are always exactly the same value.
True
False
2. A bimodal distribution has two distinct peaks.
True
False