Question

Which of the following measures of center and spread would be most appropriate to use for the histogram shown below? Select two that apply.



(1 point)
Responses

Mean
Mean

Standard Deviation
Standard Deviation

Median
Median

Interquartile Range

Answer 1

To select the most appropriate measures of center and spread for a histogram, you typically need to consider the shape of the distribution represented in the histogram:

1. **Mean** and **Standard Deviation** are best used when the data is symmetrically distributed without outliers. They are sensitive to extreme values.

2. **Median** and **Interquartile Range (IQR)** are more appropriate for skewed distributions or when outliers are present. The median is a measure of the center that indicates the middle value, and the IQR measures the spread of the middle 50% of the data, thus giving a better sense of dispersion without being affected by outliers.

Without seeing the actual histogram, if the distribution is skewed or has outliers, the recommended measures are:

- **Median**
- **Interquartile Range (IQR)**

If the distribution is symmetric and has no outliers, then:

- **Mean**
- **Standard Deviation** would be appropriate.

Based on common statistical practice without a specific histogram, the safest responses to choose would usually be:

- **Median**
- **Interquartile Range**

If you have more details about the histogram or the shape of the data distribution, you might consider different measures accordingly.