Question

Giant Tarantulas: The carapace lengths, to the nearest hundredth of a millimeter, of a sample of $50$giant tarantulas.

In each case, decide which type of grouping (single-value, limit or cutpoint is probably the best.

Short answer

The type of grouping which is best for the given scenario is Cut-point grouping.

Step-by-step solution

Given information

Given in the question that the carapace lengths, to the nearest hundredth of a millimeter, of a sample of $50$giant tarantulas.

We have to decide which type of grouping is probably the best.

Explanation

Single-value grouping:

To group quantitative data is to use classes in which each class represents a single possible value, such classes are called single-value classes and this method of grouping quantitative data is called single-value grouping.

Limit grouping:

To group quantitative data is to use class limits In which each class consists of a range of values.

The smallest value that could go in the class is called the lower limit of the class, and the largest value that could go in the class is called the upper limit of the class. This method of grouping quantitative data is called limit grouping.

Cut-point grouping:

To group quantitative data, utilise class cut-points, which consist of a range of values for each class. The lower cut-points of a class are the smallest values that could fit in the class, while the upper cut-points of the class are the smallest values that could fit in the next higher class.

Cut-point grouping is a way of categorising quantitative data using cut-points.

Consider the following scenario.

A sample of $50$giant tarantulas' carapace length, measured to the nearest hundredth of a millimetre.

Carapace values may not be different from one another, and they cannot be expressed as whole numbers.