Question

Plot 1 goes from 0 to 8. There are 2 images above 5, 2 above 6, 4 above 7, and 5 above 8. Plot 2 goes from 0 to 8. there are 5 images above 1, 2 images above 2, 4 images above 3, 3 images above 4, 1 image above 5, 1 image above 6, and 1 image above 8.
Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers.

Highest mean:
Highest median:
Highest range:
Highest interquartile ranges:

Answer 1

To compare Plot 1 and Plot 2 based on visual clues and without detailed calculations, we can analyze the given data for each plot.

### Highest Mean:
- **Plot 1**: Given that there are more images distributed towards the higher values (5 images above 8, 4 above 7), we can infer that the mean is likely to be high.
- **Plot 2**: The distribution is much more spread out towards lower values with only one image above 5, suggesting a lower mean.

**Conclusion**: **Plot 1** has the highest mean.

### Highest Median:
- **Plot 1**: The presence of many images above the higher values (particularly 7 and 8) suggests that the median will fall in the upper range.
- **Plot 2**: Most images are concentrated in lower values, with few above 5, indicating that the median will be lower.

**Conclusion**: **Plot 1** has the highest median.

### Highest Range:
- **Plot 1**: The range is defined by its minimum (0) and maximum (8), giving a range of 8.
- **Plot 2**: If it goes from 0 to 8 as well, the maximum is also 8 while the minimum remains 0. Therefore, the range is still 8.

**Conclusion**: Both plots have the same range, which is 8.

### Highest Interquartile Range (IQR):
- The interquartile range is influenced by the distribution of values in the upper and lower quartiles.
- **Plot 1**: The higher number of images above 5 and 6 suggests a tighter grouping in the upper quartile.
- **Plot 2**: Many images are concentrated lower (with values mostly concentrated below 4), suggesting a wider spread in the lower quartile.

**Conclusion**: **Plot 1** likely has the highest interquartile range due to heavier concentration of values in the upper range.

### Summary:
- Highest Mean: **Plot 1**
- Highest Median: **Plot 1**
- Highest Range: **Both (Range = 8)**
- Highest Interquartile Range: **Plot 1**