Subjects statistics

Median Iqr C4E489

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1. **State the problem:** Maya wants to describe typical home values in her neighborhood using statistics that are not greatly affected by extreme values (outliers). 2. **Important concepts:** - The **mean** is the average and is sensitive to extreme values. - The **median** is the middle value and is resistant to extreme values. - The **IQR (Interquartile Range)** measures the spread of the middle 50% of data and is also resistant to outliers. - The **MAD (Mean Absolute Deviation)** measures average distance from the mean and can be influenced by outliers. 3. **Given data shape:** The dot plot shows a right-skewed distribution with several high outliers. 4. **Conclusion:** Because the distribution is skewed with outliers, the median and IQR are better to describe typical home values as they are not affected much by extreme values. **Final answer:** Maya should use the median and IQR to describe typical home values in her neighborhood.