To determine the most appropriate measure of central location for New South Wales (NSW), consider the characteristics of the data being analyzed. Here’s a breakdown of the options provided:

1. **Mode**: The mode is the value that appears most frequently in a data set. It is useful for categorical data but may not give a true representation of numerical data.

2. **Median**: The median is the middle value when a data set is ordered from least to greatest. It is robust against outliers and skewed distributions, making it a reliable measure for income, housing prices, or other datasets that could be affected by extreme values.

3. **Mean**: The mean is the average of all values in a data set. Although it is sensitive to outliers (extremely high or low values), it provides a measure that can be useful for normally distributed data.

4. **None of the others**: This option suggests that none of the measures might be appropriate.

### Analysis:
- If the data set is skewed or contains outliers (such as income data where a few individuals earn significantly more), the median would be the most appropriate measure.
- If the data is symmetrically distributed without outliers, then the mean could be appropriate.

### Conclusion:
In the absence of specific data characteristics for NSW that could bias the results, the **median** is generally the most suitable measure of central tendency when dealing with state-level data that may exhibit skewness or contain outliers.

### Final Answer
Thus, the most appropriate measure of central location for NSW is **c. Median**.

Question

To determine the most appropriate measure of central location for New South Wales (NSW), consider the characteristics of the data being analyzed. Here’s a breakdown of the options provided:

1. **Mode**: The mode is the value that appears most frequently in a data set. It is useful for categorical data but may not give a true representation of numerical data.

2. **Median**: The median is the middle value when a data set is ordered from least to greatest. It is robust against outliers and skewed distributions, making it a reliable measure for income, housing prices, or other datasets that could be affected by extreme values.

3. **Mean**: The mean is the average of all values in a data set. Although it is sensitive to outliers (extremely high or low values), it provides a measure that can be useful for normally distributed data.

4. **None of the others**: This option suggests that none of the measures might be appropriate.

### Analysis:
- If the data set is skewed or contains outliers (such as income data where a few individuals earn significantly more), the median would be the most appropriate measure.
- If the data is symmetrically distributed without outliers, then the mean could be appropriate.

### Conclusion:
In the absence of specific data characteristics for NSW that could bias the results, the **median** is generally the most suitable measure of central tendency when dealing with state-level data that may exhibit skewness or contain outliers.

### Final Answer
Thus, the most appropriate measure of central location for NSW is **c. Median**.

Knowee AI · Accepted Answer