Question

In: Statistics and Probability

With regard to grouping quantitative data into classes in which each class represents a range of...

With regard to grouping quantitative data into classes in which each class represents a range of possible​ values, there are two methods for depicting the classes. Identify the two methods and explain the relative advantages and disadvantages of each method. Identify the two methods and explain the relative advantages and disadvantages of each method.

A. The methods are limit grouping and cutpoint grouping. Both methods can be used when there are too many distinct values to employ​ single-value grouping. Limit grouping is best used when the data are discrete and are expressed as whole​ numbers, while cutpoint grouping is best used when the data are continuous and are expressed with decimals.

B. The methods are​ single-value grouping and cutpoint grouping. Both methods can be used when there are only a small number of distinct values.​ Single-value grouping is best used when the data are expressed as whole​ numbers, while cutpoint grouping is best used when the data are continuous and are expressed with decimals.

C. The methods are​ single-value grouping and limit grouping. These methods can only be used when the data are discrete.​ Single-value grouping is best used when there are a small number of distinct​ values, while limit grouping is best used when there are a large number of distinct values.

D. The methods are limit grouping and cutpoint grouping. Both methods can be used when there are too many distinct values to employ​ single-value grouping. Limit grouping is best used when the data are continuous and are expressed with​ decimals, while cutpoint grouping is best used when the data are discrete and are expressed as whole numbers.

Solutions

Expert Solution

Answer:

  • With regard to grouping quantitative data into classes in which each class represents a range of possible values,we discussed two methods for depicting the classes
  • 1.Limit Grouping
  • 2.Cut point Grouping

1. Limit Grouping:

  • The way to group quantitative data is to use class limit,with this method,each class consists of a range of values.
  • The smallest value that could go in a class the lower limit of the class and the largest value that could do in the class go in the class is called the upper limit of the class.
  • Therefore this method of grouping quantitative data is known as limit grouping.
  • The limit grouping is particularly useful when the data are expressed as whole numbers and there are too many district values to employ single value grouping.

2. Cut Point Grouping:

  • To group quantitative data is to use class cut points in which each class consists of a range of values.
  • The smallest value that could go in a class is called the lower outpoint of the class and the smallest value that could go in the next higher class is called the upper cut point of the class.
  • This method of grouping quantitative data by using cut points is called outpoint grouping

option D is the ans

  • The methods are limit grouping and cut point grouping. Both methods can be used when there are too many distinct values to employ​ single-value grouping.
  • Limit grouping is best used when the data are continuous and are expressed with​ decimals, while cut point grouping is best used when the data are discrete and are expressed as whole numbers.

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