Lean Six Sigma Green Belt Certification FREE Lean Six Sigma Green Belt Basic Statistical Tools Questions and Answers 2 — Questions and Answers
Question 1: Which measure of central tendency is most affected by extreme outliers in a data set?
- Median
- Mode
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean is calculated using all data values, so extreme outliers pull it significantly higher or lower.
Question 2: A process has a standard deviation of 3.5. What is the variance?
- 7.0
- 12.25 (Correct answer)
- 1.87
- 3.5
Correct answer: 12.25
Variance is the square of the standard deviation, so 3.5² = 12.25.
Question 3: In a Pareto chart, what does the cumulative line represent?
- The running total percentage of all categories combined (Correct answer)
- The mean of each category
- The standard deviation across categories
- The median frequency of defects
Correct answer: The running total percentage of all categories combined
The cumulative line shows the running total percentage, helping identify the vital few categories that account for most of the effect.
Question 4: What type of data is represented by categories such as defect types or machine identifiers?
- Continuous data
- Discrete data
- Attribute data (Correct answer)
- Variable data
Correct answer: Attribute data
Attribute data (also called categorical data) classifies items into categories rather than measuring them on a numeric scale.
Question 5: When constructing a histogram, what does the height of each bar represent?
- The range of the data
- The frequency of data points within that interval (Correct answer)
- The cumulative percentage
- The standard deviation of that bin
Correct answer: The frequency of data points within that interval
Each bar's height shows how many data points fall within that particular interval or bin.
Question 6: Which graphical tool displays the five-number summary (minimum, Q1, median, Q3, maximum)?
- Scatter diagram
- Run chart
- Box-and-whisker plot (Correct answer)
- Control chart
Correct answer: Box-and-whisker plot
A box-and-whisker plot visually displays the minimum, first quartile, median, third quartile, and maximum of a data set.
Lean Six Sigma Green Belt Certification FREE Lean Six Sigma Green Belt Basic Statistical Tools Questions and Answers 2
Which measure of central tendency is most affected by extreme outliers in a data set?