FREE Lean Six Sigma Green Belt Basic Statistical Tools Questions and Answers

Question 1

A team is analyzing the cycle time for a claims process.
The data set is highly skewed to the right due to a few complex claims that took an exceptionally long time to resolve.
Which measure of central tendency would provide the MOST representative value for a 'typical' claim's cycle time?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Range

Question 2

In the context of process improvement, what does a low standard deviation signify?

Accepted Answer

The process data points are tightly clustered around the mean.

Answer

The process is not meeting customer specifications.

Answer

The process has a high degree of special cause variation.

Answer

The process mean is significantly different from the median.

Question 3

A Green Belt wants to create a graphical summary of a large set of continuous data to understand its underlying frequency distribution, central tendency, and shape (e.g., symmetry or skewness). Which tool is MOST appropriate for this purpose?

Accepted Answer

Histogram

Answer

Pareto Chart

Answer

Run Chart

Answer

Scatter Plot

Question 4

According to the Empirical Rule for a normal distribution, approximately what percentage of data points will fall within two standard deviations of the mean?

Accepted Answer

95%

Answer

68%

Answer

99.7%

Answer

50%

Question 5

A project team needs to compare the performance distributions of three different production shifts. They want a visual tool that clearly displays the median, quartiles, and any potential outliers for each shift side-by-side. Which statistical tool should they use?

Accepted Answer

Box Plot

Answer

Run Chart

Answer

Histogram

Answer

Scatter Diagram

Question 6

Which of the following statistics is a measure of dispersion in a dataset?

Accepted Answer

The range

Answer

The mean

Answer

The median

Answer

The mode

A team is analyzing the cycle time for a claims process.The data set is highly skewed to the right due to a few complex claims that took an exceptionally long time to resolve.Which measure of central tendency would provide the MOST representative value for a 'typical' claim's cycle time?

A team is analyzing the cycle time for a claims process.
The data set is highly skewed to the right due to a few complex claims that took an exceptionally long time to resolve.
Which measure of central tendency would provide the MOST representative value for a 'typical' claim's cycle time?