Range

• What does a range of 0 indicate in a data set?

  All values are the same
• In the data set {3, 4, 5, 7, 9}, what is the lowest value?

  3
• Why is the range particularly useful in data analysis?

  For initial data exploration
• If the lowest value in a data set is 2 and the highest value is 10, what is the Range?

  $8$
• Why is the Range considered a measure of dispersion?

  It helps us understand how spread out the data is
• What does a range of 100 for ages 18-25 indicate?

  The data is quite spread out
• What is the definition of Range in statistics?

  It shows the span between lowest and highest values
• What is the definition of range in statistics?

  Difference between highest and lowest values
• What is the first step to calculate the range of a data set?

  Identify the highest value
• What is the Range of the data set {3, 4, 5, 7, 9}?

  $6$
• How do you identify the highest value in a data set?

  By finding the maximum number in the set
• How is the Range calculated in a data set?

  • Identify the lowest value
  • Identify the highest value
  • Subtract the lowest value from the highest value
• What does the Range tell us about a data set?

  • Indicates the spread of the data
  • Helps identify variability
  • Useful for understanding data distribution
• What is the main characteristic of the range's simplicity?

  It comes at the cost of being less informative
• What are the advantages of using the range in data analysis?

  • Simplicity: Easy to calculate
  • Quick understanding: Indicates data spread
  • Ease of interpretation: Understandable for non-technical individuals
• What is the second step in calculating the range?

  Identify the lowest value
• What does a range of 3000 indicate in the data set {1000, 2000, 3000, 4000}?

  Significant difference between extreme values
• What operation do you perform after identifying the highest and lowest values?

  Subtract lowest from highest
• What is the range of the data set {10, 12, 15, 18, 20}?

  10
• In the data set {3, 4, 5, 7, 9}, what is the highest value?

  9
• How do outliers affect the range?

  They can distort the range significantly
• What is the range of the data set {2, 4, 6, 8, 100}?

  98
• What is a disadvantage of using the range?

  It is sensitive to outliers
• Why is the range considered less informative than other measures?

  It provides limited information about distribution
• What does the range ignore about the data set?

  It ignores the entire data set's distribution
• What are the steps to calculate the range of a data set?

  1. Identify the highest value
  2. Identify the lowest value
  3. Subtract the lowest from the highest
• What are the disadvantages of using the range in data analysis?

  • Sensitive to outliers
  • Ignores the entire data set
  • Less informative about data distribution
• What is the range of the data set {1000, 2000, 3000, 4000}?


  3000
• Why does the data set {2, 4, 6, 8, 100} have a large range?

  Due to the outlier 100
• What can be inferred from the ranges of different data sets?

  • A small range indicates values are close together.
  • A large range indicates a wide spread of values.
  • Outliers can significantly affect the range.
• How does the range compare to mean, median, mode, and standard deviation?

  It is less precise but offers a fast overview
• How do you calculate the range of the set {3, 5, 7, 9}?

  Subtract 3 from 9 to get 6
• What is the range of the data set {5, 5, 5, 5, 5}?


  0