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Question
distribution shapes
determine the shape of each distribution shown below.
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Response
To determine the shape of each distribution, we analyze the skewness or uniformity:
First Distribution (Left - skewed? No, right - skewed? Wait, first graph: tail on the right)
- A distribution with a longer tail on the right is right - skewed (positively skewed). The peak is on the left, and the data tapers off to the right.
Second Distribution (Tail on the left)
- A distribution with a longer tail on the left is left - skewed (negatively skewed). The peak is on the right, and the data tapers off to the left.
Third Distribution (Flat, uniform height)
- A distribution where all values (or intervals) have approximately the same frequency is uniform (rectangular). The graph is a horizontal line (or rectangle - like), indicating equal probability/density across the range.
Fourth Distribution (Symmetric, peak in the middle, tails equal on both sides)
- A distribution that is symmetric around the mean (peak in the middle, equal tails on left and right) is symmetric (often bell - shaped, like normal distribution).
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s (assuming standard distribution shape options: Right - Skewed, Left - Skewed, Uniform, Symmetric):
- Right - Skewed
- Left - Skewed
- Uniform
- Symmetric
(Note: If the fourth graph is a perfect bell - curve, it can also be called "Normal" or "Bell - Shaped", but "Symmetric" is a broader term for such a shape.)