Xbar-R Control Chart Template

Instructions

Instructions:

This Control Chart template creates an X-bar Chart and R Chart with control limits calculated from values contained in the data table. All samples are assumed to be the same size.

- Enter the label and the sample size for the quality characteristic that you are monitoring.- Choose a k-value (typically 3) for setting the control limits.- Replace the X-bar and Range values in the Data Table with your own data set (use Paste Special - Values).- You can delete unused rows in the data table.- If you need to insert additional rows in the data table, insert rows above the gray line below the table so that series in the chart expand accordingly. Copy the formulas for CL, UCL, and LCL to fill in the blank spaces.- The labels for CL, UCL, and LCL within the chart are created by selecting the last Data Point and formatting it so that the Data Labels include both the Series name and the Value.

XbarRControl Chart for Mean and Range

[Title or Process][Date]

Quality CharacteristicMean Thickness (Xbar)Sample Size, n
Vertex42: The number of measurements within each sample. For this chart, all samples are assumed to be the same size. In this spreadsheet, the sample size must be between 2 and 25.5k
Vertex42: The k-value is number of standard deviations (typically 3) that the upper and lower control limits are placed away from the center line.3

Statistics from Data TableProcess CapabilityR-bar
Vertex42: R-bar is the mean of the Ranges in the data table and is used as the center line for the R-Chart.0.184Upper Spec Limit, USL4.5Process Mean, m-hat
Vertex42: The estimated process mean is calculated as the mean of the X-bar values from the data table. It is used as the Center Line for the X-bar Chart.4.166Lower Spec Limit, LSL3.5Process St.Dev., s-hat
Vertex42: The estimated process standard deviation.0.079Cp
Vertex42: The Cp index is calculated as (USL-LSL)/(6*sigma) where sigma is the process standard deviation. You want Cp to be greater than 1.2.103sX-bar
Vertex42: This is the standard deviation of the sample mean, calculated as the process standard deviation divided by the square root of the sample size.0.035CPU
Vertex42: The CPU index is the upper capability index for when you are only given an upper spec limit, USL. You want CPU > 11.403CPL
Vertex42: The CPL index is the lower capability index for when you are only given a lower spec limit, LSL. You want a CPL > 1.2.803Cpk
Vertex42: The Cpk index is used when the process mean is shifted away from the target value, or the point half way between the spec limits. It is the minimum of the CPU and CPL. You want a Cpk>1.1.403Percent Yield
Vertex42: Percent Yield measures the proportion of the output that is within the spec limits, assuming a Normal population distribution.100.00%Control Limits for X-bar ChartControl Limits for R ChartCLX-bar4.166CLR0.184UCLX-bar4.273CL+ksX-barUCLR0.390LCLX-bar4.060CL-ksX-barLCLR0.000a
Vertex42: Probability of a Type I Error (a):If a sample value falls outside the control limits, we would conclude that the process is out of control. A Type I error is made when the process is concluded to be out of control when it is really in control. This probability is calculated assuming a normal distribution for the process.0.0027ARL
Vertex42: In-Control Average Run Length:If the process is in-control, the ARL is the number of samples, on average, you would observe before getting an out-of-control signal. In other words, you expect to get a false alarm (a point outside the control limits) every N samples, where N is the ARL.370.4samplesData TableX-bar ChartR ChartSampleX-bar
Vertex42: X-bar is the sample mean calculated as the sum of the observations divided by the number of observations in the sample (n).Range
Vertex42: The range for each sample is calculated as the Max value minus the Min value.CLUCLLCLCLUCLLCL14.19798917630.1927176924.1664.2734.0600.1840.3900.00024.0476507570.212430954.1664.2734.0600.1840.3900.00034.11246817860.23514860584.1664.2734.0600.1840.3900.00044.14555929780.21136107414.1664.2734.0600.1840.3900.00054.3501193240.30866934.1664.2734.0600.1840.3900.00064.09975362150.16154607124.1664.2734.0600.1840.3900.00074.0097125240.1947460154.1664.2734.0600.1840.3900.00084.01317682930.209290824.1664.2734.0600.1840.3900.00094.16449725820.16614145154.1664.2734.0600.1840.3900.000104.22580571410.16345089754.1664.2734.0600.1840.3900.000114.20085392250.1865661624.1664.2734.0600.1840.3900.000124.10302020240.2333984364.1664.2734.0600.1840.3900.000134.1133223730.199312594.1664.2734.0600.1840.3900.000144.20361358720.1977639844.1664.2734.0600.1840.3900.000154.18200958260.15973612464.1664.2734.0600.1840.3900.000164.20175244150.1766430664.1664.2734.0600.1840.3900.000174.16352931720.17519095874.1664.2734.0600.1840.3900.000184.20321227420.17351909634.1664.2734.0600.1840.3900.000194.20413686120.15209121714.1664.2734.0600.1840.3900.000204.1405354270.21084594864.1664.2734.0600.1840.3900.000214.22500292990.1695963544.1664.2734.0600.1840.3900.000224.2086954750.2136554754.1664.2734.0600.1840.3900.000234.19930730180.16400451624.1664.2734.0600.1840.3900.000244.24630620320.16964747084.1664.2734.0600.1840.3900.000254.0396699520.202460484.1664.2734.0600.1840.3900.000264.08053666810.20717994044.1664.2734.0600.1840.3900.000274.04095185540.14746484364.1664.2734.0600.1840.3900.000284.19820678720.1639794924.1664.2734.0600.1840.3900.000294.20229226510.18240859064.1664.2734.0600.1840.3900.000304.25905141180.16220092754.1664.2734.0600.1840.3900.000314.20141743980.15842590334.1664.2734.0600.1840.3900.000324.1296825560.146903994.1664.2734.0600.1840.3900.000334.1548873160.174717324.1664.2734.0600.1840.3900.000344.0139819360.263180164.1664.2734.0600.1840.3900.000354.10749249240.1637100224.1664.2734.0600.1840.3900.000364.25186889630.17224477174.1664.2734.0600.1840.3900.000374.17614698090.16316377474.1664.2734.0600.1840.3900.000384.17614698090.16316377474.1664.2734.0600.1840.3900.000394.22598871880.15329589834.1664.2734.0600.1840.3900.000404.23785957040.14460156244.1664.2734.0600.1840.3900.000414.23998467820.18175217244.1664.2734.0600.1840.3900.000424.20474068230.16731097014.1664.2734.0600.1840.3900.000434.25430513830.16984581544.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.0004.1664.2734.0600.1840.3900.000

&8 2009 Vertex42 LLC&8Control Chart Template by Vertex42.com