Which of the following types of diagrams is a researcher most likely to use to display interval data? Bar chartFrequency tableHistogramPie 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 an order (or rank) and a precise difference between values. This type of data is often displayed on a graph that shows the frequency of different ranges of values.

2. A histogram is a type of graph that displays the frequency of different ranges of values. It's essentially a graphical representation of a frequency table, with bins that represent ranges of values and bars whose heights represent the frequency of observations within each bin.

3. Bar charts and pie charts are typically used for categorical data, not interval data. They show the frequency of different categories, not ranges of values.

4. A frequency table could be used to display interval data, but it's not a type of diagram. It's a type of table.

So, a histogram is the best choice among the options given.