Which of the following types of diagrams is a researcher most likely to use to display interval data? HistogramFrequency tableBar chartPie chart

A researcher is most likely to use a Histogram to display interval data. Here's why:

1. Interval data is numerical data that has a consistent order and a consistent, meaningful difference between values. This type of data can be used in calculations.

2. A histogram is a type of graph that represents the frequency of occurrence of specific phenomena which lie within a specific range of values and arranged in consecutive, fixed intervals.

3. In a histogram, the data is divided into a set of intervals (or bins), and the number of occurrences in the data that fall into each interval are counted (frequency). The intervals are represented along the x-axis and the count of values within that interval are represented by the height of a bar along the y-axis.

4. Therefore, a histogram is a suitable choice for displaying interval data as it can clearly show the distribution of the data, the range of the data, and any patterns within the data.

5. Frequency tables, bar charts, and pie charts can also be used to represent data, but they are not as effective as histograms for interval data. Frequency tables are better for nominal or ordinal data, bar charts are best for comparing different categories of data, and pie charts are good for showing proportions of a whole.