Final answer:
To determine the mean, median, and mode of the given colors, we need to understand their definitions and apply the appropriate calculations. While the mean is not possible to determine for colors, we can calculate the median and mode by arranging the colors in order and identifying the middle value and the color that appears most frequently.
Step-by-step explanation:
The question asks whether it is possible to find the mean, median, and mode of the given colors: purple, red, blue, green, purple, purple, blue, red.
To find the mean, add up all the colors and divide by the number of colors. To find the median, arrange the colors in order and find the middle value. To find the mode, identify the color that appears most frequently.
In this case, the mean is not possible to determine since we're dealing with colors and not numerical values. However, the median is possible to determine by arranging the colors in order: blue, blue, green, purple, purple, red, red.
The middle value is purple. Finally, the mode is possible to determine since purple appears most frequently.