Calculating Range in Statistics
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

The range is calculated by subtracting the highest value from the lowest value.

True

The range provides a stable measure of dispersion because it considers all observations.

False

As the data size increases, the range becomes more satisfactory in describing dispersion.

False

Range is often used in statistical quality control due to its exceptional nature.

<p>False</p> Signup and view all the answers

Stock prices and interest rates are examples of variables where range is commonly applied.

<p>True</p> Signup and view all the answers

Study Notes

Calculating Range

  • To calculate the range, subtract the lowest value from the highest value.
  • Example: If the lowest value is Rs. 125 and the highest value is Rs. 160, the range is Rs. 35.

Merits of Range

  • Easy to calculate.
  • Easy to understand.

Demerits of Range

  • Not based on all observations.
  • Lacks sampling stability, as a single observation can change the value of the range.
  • Can be erratic, as it's based on only two extreme values, ignoring the remaining values.
  • Can provide an incorrect description of dispersion.
  • Becomes less satisfactory as the amount of data increases.
  • Fails to indicate the usual spread of items.

Use of Range

  • Most useful when extreme items are typical in terms of their range.
  • Used in statistical quality control to detect exceptional items.
  • Often used to describe stock prices and interest rates.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Learn about the concept of range in statistics, how to calculate it, as well as the merits and demerits associated with using range as a measure of dispersion.

More Like This

Dispersion Measures Quiz
10 questions

Dispersion Measures Quiz

MultiPurposeValley avatar
MultiPurposeValley
Statistics Homework 3.2 Flashcards
18 questions
Statistics: Range and Variance
10 questions
Use Quizgecko on...
Browser
Browser