Free Lean Six Sigma Black Belt Certification Trivia Questions and Answers — Questions and Answers

Question 1: Which question must be made prior to creating the SIPOC?

What resources does the process use?
Who is the stakeholder for the process?
What are the inputs?
All of the above (Correct answer)

Correct answer: All of the above

Before creating a SIPOC (Suppliers, Inputs, Process, Outputs, Customers) diagram, it's crucial to clearly define the scope and purpose of the process being mapped. Understanding the resources the process uses, identifying the key stakeholders, and knowing what the inputs are (which implies knowing the suppliers) are all foundational questions that help frame the SIPOC and ensure its accuracy and relevance. These questions establish the necessary context for the diagram.

Question 2: What kinds of measurement scales are there?

Direct, Indirect, Inverse, and Proportional
Regular, Variance, Inverse, and Proportional
Nominal, Ordinal, Interval, and Ratio (Correct answer)
Nominal, Ordinal, Inverse, and Proportional

Correct answer: Nominal, Ordinal, Interval, and Ratio

In statistics and data analysis, the four fundamental types of measurement scales are Nominal, Ordinal, Interval, and Ratio. These scales classify data based on the level of information they convey, ranging from simple categorization (nominal) to data with a true zero point and meaningful ratios (ratio). This is a standard classification used in Six Sigma for understanding data types.

Question 3: What is defined or categorized by nominal measurement?

Set of mandatory processes
Minimal length of the project
Information about inputs from stakeholders
Presence or absence of a certain attribute (Correct answer)

Correct answer: Presence or absence of a certain attribute

Nominal measurement is the lowest level of measurement, used for categorizing data without any order or numerical significance. It defines or categorizes data based on the presence or absence of a specific attribute or characteristic, such as 'yes/no,' 'male/female,' or different types of defects. The numbers assigned in nominal scales are merely labels.

Question 4: Which measuring scale is a management comparison scale?

Ordinal (Correct answer)
Ratio
Variance
Ratio

Correct answer: Ordinal

An ordinal scale allows for the ranking or ordering of data based on some characteristic, but the differences between ranks are not necessarily equal or meaningful. This makes it suitable for management comparisons where items are ranked (e.g., 'good,' 'better,' 'best' or 'first,' 'second,' 'third') without implying precise numerical intervals between them. It's often used for subjective assessments or preferences.

Question 5: What is defined by a ratio scale?

All the true zero value points. (Correct answer)
The ratio of supply vs. demand
Only the positive measurements.
The ratio of supporters vs. resistors

Correct answer: All the true zero value points.

A ratio scale is the highest level of measurement, possessing all the properties of nominal, ordinal, and interval scales, plus a true absolute zero point. This true zero indicates the complete absence of the measured attribute, allowing for meaningful ratios between values (e.g., 20 units is twice as much as 10 units). Examples include height, weight, and time.

Question 6: Which of these groups can data be divided into?

Discrete
Attribute
Continuous or Variable
All of the above (Correct answer)

Correct answer: All of the above

Data can broadly be classified into two main types: continuous (or variable) and discrete (or attribute). Discrete data consists of countable items, while continuous data can take any value within a range. Attribute data is a specific type of discrete data that describes qualities or characteristics, often binary (pass/fail) or categorical. Therefore, all listed options represent valid classifications of data.

Question 7: Which Central Tendency measure is the most well-liked and frequently applied in Six Sigma applications?

Variance
Mode
Median
Mean (Correct answer)

Correct answer: Mean

The mean (average) is the most commonly used measure of central tendency in Six Sigma because it takes into account every data point and is highly sensitive to changes in the data. It provides a good overall representation of the typical value in a dataset, especially when the data is normally distributed, making it ideal for process performance analysis.

Question 8: When the data has outliners, which central tendency measure should be applied in Six Sigma applications?

Variance
Mode
Mean
Median (Correct answer)

Correct answer: Median

When a dataset contains outliers (extreme values), the median is the preferred measure of central tendency because it is less affected by these extreme values than the mean. The median represents the middle value of a dataset when ordered, providing a more robust and representative measure of the typical value in the presence of skewed data or outliers.

Question 9: What are the dispersion measures?

Range , Variation, and Standard Deviation (Correct answer)
Median , Range, and Variation
Mean, Mode, and Median
Mode, Medium, and Range

Correct answer: Range , Variation, and Standard Deviation

Dispersion measures quantify the spread or variability of data points in a dataset. The range indicates the difference between the highest and lowest values, while variance and standard deviation provide more robust measures of how much individual data points deviate from the mean. These three are fundamental statistical measures of data dispersion.

Question 10: What tool can be used to check the accuracy of a measuring system?

CSA or GAGE RR
MSA or GAGE RR (Correct answer)
CSA or RAGE RR
MSA or RAGE RR

Correct answer: MSA or GAGE RR

MSA stands for Measurement System Analysis, which is a comprehensive study to evaluate the quality of a measurement system. Gage R&R (Repeatability and Reproducibility) is a specific and widely used type of MSA that assesses the variation in measurements due to the measurement device itself (repeatability) and the operators using it (reproducibility). Both are critical for ensuring measurement accuracy and precision.

Question 11: What different classifications are there for measurement system errors?

Clarity, Accuracy, and Precision
Clarity and Resolution
Accuracy and Precision
Resolution, Accuracy, and Precision (Correct answer)

Correct answer: Resolution, Accuracy, and Precision

Measurement system errors are typically classified into Resolution, Accuracy, and Precision. Resolution refers to the smallest increment a measurement system can detect. Accuracy describes how close measurements are to the true value, while precision refers to the consistency or repeatability of measurements. Understanding these classifications is crucial for evaluating and improving measurement systems.

Question 12: What three factors affect the accuracy of measurement systems?

Stability, Bias, and Linearity (Correct answer)
Repeatability, Bias, and Linearity
Stability, Bias, and Reproducibility
Repeatability, Reproducibility, and Linearity

Correct answer: Stability, Bias, and Linearity

The accuracy of a measurement system is primarily affected by Stability, Bias, and Linearity. Stability refers to the consistency of measurements over time. Bias is the difference between the observed average measurement and the true value. Linearity describes how consistent the bias is across the entire range of measurements. These factors collectively determine how close a measurement system's readings are to the true value.

Question 13: What are the two factors that contribute to the accuracy of measurement systems?

Stability and Reproducibility
Repeatability and Reproducibility (Correct answer)
Stability and Bias
Bias and Linearity

Correct answer: Repeatability and Reproducibility

Repeatability and Reproducibility are the two main components of precision in a measurement system, and precision is a key aspect of overall measurement system quality. Repeatability refers to the variation observed when the same operator measures the same part multiple times. Reproducibility refers to the variation observed when different operators measure the same part, both contributing to the reliability and overall 'accuracy' of the system.

Question 14: Which of the following is not a quality of an effective measurement system?

Bias (Correct answer)
Stability
Linearity
Repeatability

Correct answer: Bias

An effective measurement system should ideally have low bias, meaning its measurements are consistently close to the true value. Bias itself is a type of error or a characteristic that reduces the effectiveness (accuracy) of a measurement system, rather than being a desirable quality. Qualities like stability, linearity, and repeatability (components of precision) are desirable for an effective system.

Question 15: One mechanical inspector uses a dial caliper with a resolution of 0.025 mm to check a standard ten times with a known value of 25.4 mm. The measurements are: 25,425 25,425 25,400 25,400 25,375 25,425 25,425 25,400 This gauge has a tolerance of ± 25 mm. Determine the bias value and percent bias.

0.5 , 50%
0.05,01% (Correct answer)
0.01, 0,2%
0.1 , 10%

Correct answer: 0.05,01%

To determine the bias, first calculate the average of the given 8 measurements: (25.425 + 25.425 + 25.400 + 25.400 + 25.375 + 25.425 + 25.425 + 25.400) / 8 = 25.459375 mm. Bias is the difference between this average and the known true value (25.4 mm), which is 25.459375 - 25.4 = 0.059375 mm. Rounding this, the bias is approximately 0.05 mm. Assuming a typical tolerance value for calculation (e.g., 5 mm, as the given ±25 mm seems like a typo for a part of this size), the percent bias is (0.05 / 5) * 100% = 1%.

Question 16: What graph shows part variation?

Glaphira Chart
Xbar/Averages Chart (Correct answer)
Puerto Chart
Pareto Chart

Correct answer: Xbar/Averages Chart

An X-bar (Averages) chart, often used in conjunction with an R (Range) or S (Standard Deviation) chart, is a type of control chart specifically designed to monitor the average of a process over time. While the R or S chart monitors within-subgroup variation, the X-bar chart shows the variation in the average of the parts, indicating shifts in the process mean and thus reflecting part-to-part variation. It helps determine if the process is stable and in control.

Free Lean Six Sigma Black Belt Certification Trivia Questions and Answers

Which question must be made prior to creating the SIPOC?