Subjects statistics

Center Variability 1Eb0Ff

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1. The problem asks which measures of center and variability Huongly should use to analyze the data from a dot plot showing weekly chores per student. 2. Important concepts: - The **mean** is the average and is sensitive to extreme values (outliers). - The **median** is the middle value and is resistant to outliers. - The **IQR (Interquartile Range)** measures variability by the range of the middle 50% of data, also resistant to outliers. - The **MAD (Mean Absolute Deviation)** measures average distance from the mean, sensitive to outliers. 3. The dot plot is described as **skewed right** with a peak near 2 chores and some isolated high values (8, 9, 10), indicating outliers. 4. For skewed distributions with outliers, the **median** is a better measure of center than the mean because it is not affected by extreme values. 5. For variability, the **IQR** is preferred over MAD in skewed distributions because it focuses on the middle 50% and is robust to outliers. 6. Therefore, Huongly should use the **median for the center** and the **IQR for the variability**. Final answer: Huongly should use the median for the center and the IQR for the variability.