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Quiz 2 – Data and Statistical Foundation
Which statement correctly distinguishes discrete data from continuous data?
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Discrete data represents countable values, while continuous data can take values within a measurement range.
Discrete data always uses decimals, while continuous data always uses whole numbers.
Discrete data has equal intervals, while continuous data has no numerical meaning.
Discrete data is always categorical, while continuous data is always nominal.
A company classifies customer satisfaction as Poor, Fair, Good, and Excellent. Which measurement scale is most appropriate?
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Nominal
Ordinal
Interval
Ratio
A Green Belt wants observations representing each of three production shifts because operating conditions may differ by shift. Which sampling approach is most appropriate?
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Stratified sampling
Convenience sampling
Cluster sampling
Unrestricted voluntary sampling
A dataset contains the response times 4, 5, 6, 7, and 8 minutes. What is the arithmetic mean?
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5 minutes
6 minutes
7 minutes
8 minutes
Which statistic is generally least affected by a single extreme observation in a dataset?
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Mean
Median
Range
Variance
Which graphical tool is most appropriate for examining the distribution, center, spread, and potential unusual observations of a continuous measurement?
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Histogram
Pie chart
Flowchart
Organization chart
A quality team wants to prioritize defect categories by their contribution to the total number of defects. Which graphical tool is most appropriate?
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Pareto Chart
Histogram
Run Chart
Scatter Plot
Which probability distribution is commonly appropriate for the number of successes in a fixed number of trials when each trial has two possible outcomes and the model assumptions are satisfied?
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Normal distribution
Binomial distribution
Poisson distribution
Exponential distribution
A service center records the number of customer complaints received each day. The outcome is a count of events within a defined time interval. Which distribution may be appropriate when its assumptions are satisfied?
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Normal distribution
Binomial distribution
Poisson distribution
Uniform distribution
A process has a Normal distribution with mean 100 units and standard deviation 5 units. Approximately what percentage of observations are expected to fall between 90 and 110 units under the empirical rule?
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About 68%
About 90%
About 95%
About 99.7%