Interpreting Control Charts

  • 1.

    Interpret the control chart below showing the number of boxes of crayons with missing crayons that are being produced.

    Answers:

    • It seems that as time progresses, more and more boxes of crayons are being produced with missing crayons, starting below the lower control, and finishing above the upper control.

    • The amount of crayon boxes produced with missing crayons peaks in the middle of the month, but is within control the entire time.

    • It seems that as time progresses, less and less boxes of crayons are being produced with missing crayons, starting above the upper control, and finishing below the lower control.

    • The amount of crayon boxes produced with missing crayons is consistent for the given time period.

  • 2.

    Interpret the given control chart below that shows the number of defective toys that are being produced.

    Answers:

    • It seems that as time progresses, more and more defective toys are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective toys are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that the number of defective toys produced is not consistent, reaching below the lower control line and above the upper control line in the middle of the time period.

    • It seems that the number of defective toys produced is consistent for the entire time period given.

  • 3.

    The control chart below shows the number of bags with unwanted holes that are being produced. Interpret the chart.

    Answers:

    • It seems that as time progresses, more and more bags with holes are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, the amount of bags with holes produced increases toward the middle of the time period, and is in control towards the beginning and end of the period.

    • It seems that as time progresses, less and less bags with holes are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that the amount of bags with holes produced remains consistent and within control over the given time period.

  • 4.

    Given below is a control chart showing the amount of misprinted books that are being produced. Observe the chart and interpret it.

    Answers:

    • It seems that as time progresses, the amount of misprinted books produced shifts from the upper control line to the lower control line.

    • It seems that as time progresses, the amount of misprinted books stays consistent and within control for the whole time period.

    • It seems that as time progresses, less and less misprinted books are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that as time progresses, the amount of misprinted books produced shifts from the lower control line to the upper control line.

  • 5.

    Observe the control chart below that shows the number of books produced with missing pages and interpret it.

    Answers:

    • It seems that as time progresses, the amount of books with missing pages produced shifts from the lower control line to the upper control line.

    • It seems that as time progresses, more and more books with missing pages are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, the amount of books with missing pages produced shifts from the upper control line to the lower control line.

    • It seems that as time progresses, the number of books with missing pages stays consistent and within control for the whole time period.

  • 6.

    Interpret the control chart below showing the number of defective cars that are being produced.

    Answers:

    • It seems that as time progresses, more and more defective cars are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that the amount of defective cars produced is generally consistent about the control line, but does peak above the upper control line toward the middle of the time period.

    • It seems that as time progresses, less and less defective cars are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that the amount of defective cars produced is generally consistent about the control line, but does peak below the lower control line toward the middle of the time period.

  • 7.

    Interpret the given control chart below that shows the number of defective televisions that are being produced.

    Answers:

    • It seems that the amount of defective televisions produced is generally consistent about the control line, but does peak above the upper control line toward the end of the time period.

    • It seems that the amount of defective televisions produced is generally consistent about the control line, but does peak below the lower control line toward the end of the time period.

    • It seems that as time progresses, more and more defective televisions are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective televisions are being produced, starting above the upper control, and finishing below the lower control.

  • 8.

    The control chart below shows the number of defective phones that are being produced. Interpret the chart.

    Answers:

    • It seems that the amount of defective phones produced is generally consistent about the control line, but does peak below the lower control line toward the beginning of the time period.

    • It seems that the amount of defective phones produced is generally consistent about the control line, but does peak above the upper control line toward the beginning of the time period.

    • It seems that as time progresses, more and more defective phones are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective phones are being produced, starting above the upper control, and finishing below the lower control.

  • 9.

    Given below is a control chart showing the amount of shirts with missing buttons being produced. Observe the chart and interpret it.

    Answers:

    • It seems that as time progresses, more and more shirts with missing buttons are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that the amount of shirts with missing buttons produced is generally consistent, but does break below the lower control line and above the upper control line near the middle of the time period.

    • It seems that the amount of shirts with missing buttons produced is generally consistent for the entire time period shown.

    • It seems that as time progresses, less and less shirts with missing buttons are being produced, starting above the upper control, and finishing below the lower control.

  • 10.

    Observe the control chart below that shows the number of defective printers and interpret it.

    Answers:

    • It seems that as time progresses, more and more defective printers are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, the amount of defective printers stays generally consistent and in control the entire time period.

    • It seems that as time progresses, less and less defective printers are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that as time progresses, the amount of defective printers produced increased toward the middle of the time period, and then decreased toward the end.

  • 11.

    Interpret the control chart below showing the number of defective cameras that are being produced.

    Answers:

    • It seems that as time progresses, the amount of defective cameras produced is consistent for the entire period of time shown.

    • It seems that as time progresses, more and more defective cameras are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective cameras are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that as time progresses, the amount of defective cameras produced is generally consistent about the control line but peaks above the upper control line twice, and below the lower control line once.

  • 12.

    Interpret the given control chart below that shows the number of broken windows that are being produced.

    Answers:

    • It seems that as time progresses, the amount of broken windows being produced is generally consistent an in control for the entire period shown.

    • It seems that as time progresses, more and more broken windows are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, the amount of broken windows being produced is generally consistent, but peaks above the upper control line at the beginning and end of the time period.

    • It seems that as time progresses, less and less broken windows are being produced, starting above the upper control, and finishing below the lower control.

  • 13.

    The control chart below shows the number of defective watches that are being produced. Interpret the chart.

    Answers:

    • It seems that as time progresses, more and more defective watches are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective watches are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that as time progresses, the amount of defective watches produced decreased towards the middle of the time period, but then increased towards the end.

    • It seems that as time progresses, the amount of defective watches produced stays within control for the entire time period shown.

  • 14.

    Given below is a control chart showing the amount of defective engines that are being produced. Observe the chart and interpret it.

    Answers:

    • It seems that the amount of defective engines produced over the time period is generally consistent and in control.

    • It seems that as time progresses, more and more defective engines are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that as time progresses, less and less defective engines are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that the amount of defective engines produced over the time period is generally consistent, but breaks below the lower control line several times over the period.

  • 15.

    Observe the control chart below that shows the number of defective computers and interpret it.

    Answers:

    • It seems that as time progresses, more and more defective computers are being produced, starting below the lower control, and finishing above the upper control.

    • It seems that the amount of defective computers produced increased leading up to the eleventh day of the month observed, but then decreased and stayed within control the rest of the month.

    • It seems that as time progresses, less and less defective computers are being produced, starting above the upper control, and finishing below the lower control.

    • It seems that the amount of defective computers produced decreased leading up to the eleventh day of the month observed, but then increased towards the end of the month.

  • 16.

    Interpret the control chart below showing the number of defective guitars that are being produced.

    Answers:

    • It seems that as time progresses, less and less defective guitars are being produced, starting above the upper control line, and finishing below the lower control line.

    • The amount of defective guitars being produced is in control and consistent for the time period given.

    • The amount of defective guitars being produced peaks in the middle of the time period, but is in control the entire time.

    • It seems that as time progresses, more and more defective guitars are being produced, starting below the lower control line, and finishing above the upper control line.

  • 17.

    Interpret the given control chart below that shows the amount of misprinted magazines that are being produced by a printing company.

    Answers:

    • The amount of misprinted magazines is consistent and in control for the entire time period given in the chart.

    • It seems that as time progresses, more and more misprinted magazines are being produced, starting below the lower control line, and finishing above the upper control line.

    • It seems that as time progresses, less and less misprinted magazines are being produced, starting above the upper control line, and finishing below the lower control line.

    • The amount of misprinted magazines is generally consistent but peaks above the upper control line in the middle of the given time period.

  • 18.

    The control chart below shows the number of defective airplanes that are being produced. Determine the mean.

    Answers:

    • 3.71 Defective Airplanes

    • 2.61 Defective Airplanes

    • 4.81 Defective Airplanes

    • 1.10 Defective Airplanes

  • 19.

    Given below is a control chart showing the amount of defective cash registers that are being produced. Observe the chart and interpret it.

    Answers:

    • The amount of defective cash registers produced is generally consistent and is in control but peaks at the very end of the given time period.

    • It seems that as time progresses, less and less defective cash registers are being produced, starting above the upper control line, and finishing below the lower control line.

    • It seems that as time progresses, more and more defective cash registers are being produced, starting below the lower control line, and finishing above the upper control line.

    • The amount of defective cash registers produced is consistent and in control for the entire period of time given.

  • 20.

    Observe the control chart below that shows the number of defective recliners produced and interpret it.

    Answers:

    • It seems that as time progresses, the amount of defective recliners produced shifts from the lower control line to the upper control line.

    • It seems that as time progresses, less and less defective recliners are being produced, starting above the upper control line, and finishing below the lower control line.

    • It seems that as time progresses, the amount of defective recliners produced shifts from the upper control line to the lower control line.

    • It seems that as time progresses, more and more defective recliners are being produced, starting below the lower control line, and finishing above the upper control line.

  • 21.

    The control chart below shows the number of textbooks with missing pages that are being produced. Determine the mean.

    Answers:

    • 9.83 Textbooks with missing pages

    • 11.48 Textbooks with missing pages

    • 13.13 Textbooks with missing pages

    • 1.65 Textbooks with missing pages

  • 22.

    Interpret the given control chart below that shows the amount of defective lightbulbs that are being produced.

    Answers:

    • It seems that as time progresses, more and more defective lightbulbs are being produced, starting below the lower control line, and finishing above the upper control line.

    • The amount of defective lightbulbs produced is generally consistent but peaks above the upper control line towards the end of the given time period.

    • It seems that as time progresses, less and less defective lightbulbs are being produced, starting above the upper control line, and finishing below the lower control line.

    • The amount of defective lightbulbs is consistent and in control for the entire time period.

  • 23.

    Given below is a control chart showing the amount of defective lawn mowers that are being produced. Observe the chart and interpret it.

    Answers:

    • It seems that as time progresses, more and more defective lawn mowers are being produced, starting below the lower control line, and finishing above the upper control line.

    • It seems that as time progresses, the amount of defective lawn mowers produced shifts from the upper control line to the lower control line.

    • It seems that as time progresses, the amount of defective lawn mowers produced shifts from the lower control line to the upper control line.

    • It seems that as time progresses, less and less defective lawn mowers are being produced, starting above the upper control line, and finishing below the lower control line.

  • 24.

    The control chart below shows the number of cracked bricks that are being produced by a construction company. Determine the mean.

    Answers:

    • 34.81 Cracked Bricks

    • 33.41 Cracked Bricks

    • 36.21 Cracked Bricks

    • 1.40 Cracked Bricks

  • 25.

    Observe the control chart below that shows the number of warped sheets of plywood being produced and interpret it.

    Answers:

    • It seems that as time progresses, less and less warped sheets of plywood are being produced, starting above the upper control line, and finishing below the lower control line.

    • The amount of warped sheets of plywood being produced is generally consistent, but peaks above the upper control line towards the beginning of the given time period.

    • The amount of warped sheets of plywood being produced is consistent and in control for the entire period of time given.

    • It seems that as time progresses, more and more warped sheets of plywood are being produced, starting below the lower control line, and finishing above the upper control line.

  • 26.

    Interpret the control chart below showing the number of defective projectors that are being produced.

    Answers:

    • The amount of defective projectors being produced is generally consistent, staying between the upper and lower control lines for the entire period of time shown.

    • The amount of defective projectors being produced is not consistent, reaching above the upper control line and below the lower control line multiple times over the given time period with no apparent pattern.

    • It seems that as time progresses, less and less defective projectors are being produced, starting above the upper control line, and finishing below the lower control line for the given time period.

    • It seems that as time progresses, more and more defective projectors are being produced, starting below the lower control line, and finishing above the upper control line for the given time period.

  • 27.

    The control chart below shows the number of backpacks with broken zippers that are being produced. Determine the mean.

    Answers:

    • 16.16 Backpacks with broken zippers

    • 1.07 Backpacks with broken zippers

    • 15.09 Backpacks with broken zippers

    • 17.23 Backpacks with broken zippers

  • 28.

    Given below is a control chart showing the amount of defective laptops that are being produced. Observe the chart and interpret it.

    Answers:

    • It seems that as time progresses, the amount of defective laptops being produced is generally consistent, but does peak above the upper control line twice over the given time period.

    • It seems that as time progresses, the amount of defective laptops follows a similar pattern and is consistent for the entire time period given.

    • It seems that as time progresses, more and more defective laptops are being produced, starting below the lower control line, and finishing above the upper control line.

    • It seems that as time progresses, less and less defective laptops are being produced, starting above the upper control line, and finishing below the lower control line.

  • 29.

    Observe the control chart below that shows the number of shirts with missing pockets produced and interpret it.

    Answers:

    • It seems that as time progresses, more and more shirts with missing pockets are being produced, starting below the lower control line, and finishing above the upper control line.

    • It seems that as time progresses, the amount of shirts with missing pockets produced decreased towards the middle of the time period, but then increased towards the end.

    • It seems that as time progresses, less and less shirts with missing pockets are being produced, starting above the upper control line, and finishing below the lower control line.

    • It seems that as time progresses, the amount of shirts with missing pockets produced increased towards the middle of the time period, but then decreased towards the end.

  • 30.

    The control chart below shows the number of books with bent covers that are being produced. Determine the mean.

    Answers:

    • 1.84 Books with bent covers

    • 18.61 Books with bent covers

    • 22.29 Books with bent covers

    • 20.45 Books with bent covers

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