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The frequency histogram for the speeds, in miles per hour, of a sample of 34 cheetahs is shown to the right. State whether the distribution is (roughly) symmetric, right skewed, or left skewed. Frequency ठुळात 50 54 58 62 66 70 74 78 Speed (mph) Q

The frequency histogram for the speeds, in miles per hour, of a sample of 34 cheetahs is shown to the right. State whether the distribution is (roughly) symmetric, right skewed, or left skewed. Frequency ठुळात 50 54 58 62 66 70 74 78 Speed (mph) Q

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Analyzing Cheetah Speed Distribution** The frequency histogram for the speeds, in miles per hour, of a sample of 34 cheetahs is shown below. Your task is to state whether the distribution is (roughly) symmetric, right-skewed, or left-skewed. ![Histogram of Cheetah Speeds](link-to-image) - **X-Axis (Speed)**: Represents the speed of cheetahs in miles per hour (mph), ranging from approximately 50 to 78 mph. - **Y-Axis (Frequency)**: Represents the frequency, or the number of cheetahs, within each speed bin. The frequency ranges from 0 to 10. The histogram demonstrates the frequency of cheetah speeds. Most of the frequencies concentrate around the mid-range (54 to 66 mph), with fewer observations as we move toward the higher and lower extremes. **Histogram Analysis:** - The peak (mode) lies between 58-62 mph. - The distribution tapers off more gradually towards the higher speeds (right side) than towards the lower speeds (left side). **Question:** Which of the following best describes the given distribution? **Options:** - **A.** The distribution is slightly right-skewed. - **B.** The distribution is roughly symmetric. - **C.** The distribution is slightly left-skewed. **Explanation:** - **A (Right-skewed):** The tail on the right side (higher speeds) is longer than that on the left side. - **B (Symmetric):** The left and right sides of the histogram appear almost mirror images. - **C (Left-skewed):** The tail on the left side (lower speeds) is longer than that on the right side. Given the provided histogram, select the most accurate description of the distribution. --- **Note:** Always ensure to observe the histogram closely to identify key features before concluding the distribution shape.
Transcribed Image Text:**Analyzing Cheetah Speed Distribution** The frequency histogram for the speeds, in miles per hour, of a sample of 34 cheetahs is shown below. Your task is to state whether the distribution is (roughly) symmetric, right-skewed, or left-skewed. ![Histogram of Cheetah Speeds](link-to-image) - **X-Axis (Speed)**: Represents the speed of cheetahs in miles per hour (mph), ranging from approximately 50 to 78 mph. - **Y-Axis (Frequency)**: Represents the frequency, or the number of cheetahs, within each speed bin. The frequency ranges from 0 to 10. The histogram demonstrates the frequency of cheetah speeds. Most of the frequencies concentrate around the mid-range (54 to 66 mph), with fewer observations as we move toward the higher and lower extremes. **Histogram Analysis:** - The peak (mode) lies between 58-62 mph. - The distribution tapers off more gradually towards the higher speeds (right side) than towards the lower speeds (left side). **Question:** Which of the following best describes the given distribution? **Options:** - **A.** The distribution is slightly right-skewed. - **B.** The distribution is roughly symmetric. - **C.** The distribution is slightly left-skewed. **Explanation:** - **A (Right-skewed):** The tail on the right side (higher speeds) is longer than that on the left side. - **B (Symmetric):** The left and right sides of the histogram appear almost mirror images. - **C (Left-skewed):** The tail on the left side (lower speeds) is longer than that on the right side. Given the provided histogram, select the most accurate description of the distribution. --- **Note:** Always ensure to observe the histogram closely to identify key features before concluding the distribution shape.
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