The best measure of central tendency to use with categorical data is:Select one:a.the modeb.the meanc.the mediand.the mean, the median and the mode

Break Down the Problem

1. Identify the types of central tendency measures.
2. Analyze which measure is suitable for categorical data.

Relevant Concepts

• Mean: The average, calculated by summing values and dividing by the count.
• Median: The middle value in an ordered dataset.
• Mode: The most frequently occurring value in a dataset.
• Categorical data: Data that can be grouped into categories but is not numerical.

Analysis and Detail

1. Mean: Not applicable for categorical data because it requires numerical values and performs arithmetic operations.
2. Median: While it requires ordering the data, it is not meaningful for categorical data as it is typically used for ordinal or continuous data.
3. Mode: This is the best choice for categorical data as it indicates the most frequently occurring category.

Verify and Summarize

Reviewing the definitions shows that only the mode is relevant and suitable for summarizing categorical data, as the others do not apply to non-numerical values.

Final Answer

The best measure of central tendency to use with categorical data is a. the mode.