Industrial Engineering Questions and Answers – Control Charts and their Applications – Set 2

This set of Industrial Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Control Charts and their Applications – Set 2”.

1. Which of the following is not an example of variable charts?
a) x chart
b) R chart
c) σ chart
d) C – chart
View Answer

Answer: d
Explanation: Control charts are of two types.
i. Variables or Measurements chart – x chart, R chart, σ chart
ii. Attribute charts – p chart, np chart, C chart, U chart.

2. Attribute charts require comparatively ________ sample size.
a) Very small
b) Small
c) Very big
d) Big
View Answer

Answer: d
Explanation: Attributes are plotted based on the data collected through go and no go gauges. This data is less effective compared to measured values. Hence, they require comparatively bigger sample size.

3. An attribute chart involves the measurement of dimensions of a product which forms the base for its acceptance or rejection.
a) True
b) False
View Answer

Answer: b
Explanation: Attribute charts are plotted using attribute data. As the attribute data is collected using go or no go gauges. Hence, an attribute chart only differentiates between a defective item and non-defective item without going into the measurement of its dimensions.
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4. Variable charts contain more information compared to attribute charts.
a) True
b) False
View Answer

Answer: a
Explanation: Variable charts are plotted using variable data. They are more detailed and contain more information than attribute charts.

5. Match the following according to their use.

p) x chart and R chart                                   i) Number of defects in a sample of constant size 
q) p chart                                                        ii) Process control
r) C chart                                                        iii) Analyses fraction defectives
s) U chart                                                       iv) Average number of defects in a sample of variable size 

a) p-iv, q-ii, r-i, s-iii
b) p-iv, q-i, r-iii, s-ii
c) p-ii, q-iii, r-i, s-iv
d) p-iv, q-iii, r-ii, s-i
View Answer

Answer: c
Explanation: Each control chart is defined according to its specific use. They are as follows:

Chart Use
x chart and R chart Process control
p chart Analyses fraction defectives
C chart Number of defects in a sample of constant size
U chart Average number of defects in a sample of variable size

6. Match the following.

p) x chart                                                     i) Monitors the centering of the process to control its accuracy
q) R chart                                                    ii) Monitors the dispersion or precision of the process
r) σ chart                                                    iii) Shows the variation of the process
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a) p-iv, q-ii, r-i
b) p-i, q-ii, r-iii
c) p-ii, q-iii, r-i
d) p-iv, q-iii, r-ii
View Answer

Answer: b
Explanation: All are variable control charts.

Chart Use
x chart Monitors the centering of the process to control its accuracy
R chart Monitors the dispersion or precision of the process
σ chart Shows the variation of the process

7. In case of variables charts, for a process to be in control bothx chart and R chart should be in control.
a) True
b) False
View Answer

Answer: a
Explanation: In case of variables charts, for a process to be in control both x chart and R chart should be in control because x chart gives information about the accuracy of the process and R chart about the precision of the process.
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8. What is the formula to calculate the sub-group average of a sub-group containing the items x1, x2, x3, x4 and x5?
a) x = (x1 * x2 * x3 * x4 * x5) / 5
b) x = (x1 * x2 + x3 + x4 + x5) / 5
c) x = (x1 + x2 + x3 + x4 + x5) / 5
d) x = (x1 – x2 – x3 – x4 – x5) / 5
View Answer

Answer: c
Explanation: The formula to calculate the sub-group average of a sub-group containing the items x1, x2, x3, x4 and x5 is x = (x1 + x2 + x3 + x4 + x5) / 5.

9. Match the following.
Consider a sub-group containing the items x1, x2, x3, x4 and x5. N is the size of the sub-group.

p) Sub-group average                                      i) R = Maximum value – Minimum value  
q) Sub-group range                                         ii) x= (x1 + x2 + x3 + x4 + x5) / 5
r) Average of averages                                   iii) x̿ = ∑x / N
s) Average of range                                        iv) R = ∑R / N 

a) p-iv, q-ii, r-i, s-iii
b) p-iv, q-i, r-iii, s-ii
c) p-ii, q-i, r-iii, s-iv
d) p-iv, q-iii, r-ii, s-i
View Answer

Answer: c
Explanation: The criterion for matching is formula.
Sub-group average – x = (x1 + x2 + x3 + x4 + x5) / 5
Sub-group range – R = (Maximum value – Minimum value)
Average of averages – x̿ = ∑x / N
Average of range – R = ∑R / N

Sanfoundry Global Education & Learning Series – Industrial Engineering.

To practice all areas of Industrial Engineering, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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