Which of the following measures of central tendency is least suitable for interval data?ModeMeanMedianAll are equally suitable

Break Down the Problem

1. Identify the measures of central tendency listed: Mode, Mean, Median.
2. Understand the nature of interval data and the suitability of each measure for it.

Relevant Concepts

1. Mode: The value that appears most frequently in a data set.
2. Median: The middle value when the data set is ordered from least to greatest.
3. Mean: The average of all values in a data set.
4. Interval Data: Data that is measured along a scale, where the difference between values is meaningful, but there is no true zero.

Analysis and Detail

1. Mode is suitable for all types of data, including nominal, ordinal, interval, and ratio data. However, it provides limited information on interval data because it only indicates the most common value without considering the distribution of all values.
2. Median is also suitable for interval data. It provides a better measure of central tendency when the data is skewed, as it is less affected by extreme values.
3. Mean is the preferred measure for interval data when the distribution is symmetrical because it takes all data points into account, providing a comprehensive representation of the data set.

Verify and Summarize

All three measures are technically suitable for interval data, but the Mode is the least informative, particularly because it does not consider the distribution of values and merely highlights the most frequent observation.

Final Answer

Mode is the least suitable measure of central tendency for interval data.