Attribute charts are a kind of control chart where you display information on defects and defectives. Helps you visualize the enemy – variation!

Just like the name would indicate, Attribution Charts are for attribute data – data that can be counted – like # of defects in a batch.

If your process can be measured in attribute data, then attribute charts can show you exactly where in the process you’re having problems, if any.

## Types of Attribute Charts

There are four types of Attribute Charts:

- p Charts (proportion charts)
- np Charts
- C Charts
- u Charts

## Using Attribute Charts

Attribute charts are used for charting either-or conditions over time for either static samples sizes (ex 10 samples every week) or varying sample sizes.

Six Sigma certification exams like to throw curveballs about how and when to apply certain attribute charts to different situations. Here’s a quick way for you to determine which chart to use in which situation.

### How to Pick Which Attribute Chart to Use for Defects or Defectives

Assuming that 1 or more defects in a product makes that product entirely defective, you can use the following guide to pick which one to use.

### How to Pick Which Attribute Chart to Use for Displaying Raw Counts or Percentages

- Display Raw Counts:
- np chart
- c chart

- Display Percentages:
- p chart
- u chart

### How to Pick Which Attribute Chart to Use for Static vs Variable Sample Size

- Static (constant) sample size:
- np
- c

- Variable sample size:
- p
- u

## Different Attribute Charts

There are 4 main attribute charts. Let’s take a close look at each.

Type of Attribute Chart | What Gets Displayed? | What Kind of Sample Size? | Type of Data Used | Example |

NP | # times something happens | Constant size | happens/ does not happen | # transactions in a static sample set with one or more errors. |

P | % of Samples in which something happens | Constant or Varying size | happens/ does not happen | Sum of all transactions with an error per month charted month-over-month. |

C | # times something happenstotal | Constant size | has a condition OR has more than one condition | # errors in all transactions in a static sample set. (transaction can have more that one kind of error.) |

U | % of total in which something happens | Constant or Varying size | has a condition OR has more than one condition | Sum of all errors across all transactions per month charted month-over-month. |

## Attribute Charts: p Chart (proportion chart)

### What is a p Chart:

- Evaluates the stability of a process when we are evaluating the proportion of defects vs in good order as a percentage.
- The plot shows the percentage of defectives.

### When to Use a p Chart:

- Sample sizes are NOT equal.
- Have discrete data.

### How to Use a p Chart:

#### Step 1) Measure P-bar:

p bar = the fraction rejected = total defectives / total inspected.

#### Step 2) Find Control Limits:

3 SD = 3 (SQRT((pbar * (1-pbar))/n))

N refers to a SINGLE instance of a sample size, not the # of sample sizes (or rows) listed. Since there are multiple sample sizes, we use the largest one on the list – the worst case. (You can establish UCL & LCL with the best case to get a different interpretation.

**Upper control limit** = pbar + 3 SD

**Lower control limit** = pbar – 3 SD

## Attribute Charts: np Chart

### What are np Charts:

- Evaluates the stability of a process when we are evaluating the proportion of defects as a raw number.
- The plot shows the # of defectives.

### When to Use np Charts:

np Charts are for monitoring the number of times a something binary happens (normally an error or defect). You’re also dependent on the sample size because you. You’re looking for a binary case to trigger adding the point to the graph – like the hamburger was either cooked or undercooked.

- Sample sizes are equal or constant.
- Subgroups are the same size.
- Attributes are discrete and binary (ex. yes vs no; up vs down)

### How to Use np Charts:

### Step 1) Calculate p as above.

### Step 2) Calculate np.

np bar = total # defective / total samples.

The total samples are the # of rows listed.

### Step 3) Calculate the control limits

**UCL** = np bar + 3 * (SQRT(npbar*(1-pbar)))

**LCL** = np bar – 3 * (SQRT(npbar*(1-pbar)))

## Attribute Charts: C Charts

#### What they do:

- Evaluates the stability of counted data
- Measures defects per unit. Helpful if you have a list of # of defects per unit ID.
- The plot shows the # of defectives.

#### When to Use:

- Total opportunity population is large compared to # defects.
- When you cannot count “not a defect.”
- Data type is discrete but each count has an equal opportunity of coming up.

c bar = total # defects / # units

**UCL** = c bar + 3 * (SQRT(c))

**LCL** =c bar – 3 * (SQRT(c))

## Attribute Charts: u Chart

### What are u Charts:

- Evaluates the stability of counted data
- Measuring variable defects per unit. Helpful for when you have lots of varying sample size.
- The plot shows the % of defectives.

### When to Use u Charts:

- Sample size varies – ex. Multiple types of a defect.

### How to use u Charts

#### Step 1) Calculate the number of defects per unit in each lot.

u = c / n = number of defects in the lot / # of units in the lot.

Then repeat this for all of the lots.

#### Step 2) Calculate u bar

u bar = total defects in all of the lots total / total # units in all of the lots combined.

#### Step 3) Calculate UCL & LCL for EACH lot size

Ex. if you have lot sizes of 1, 2, 3, and 4 – you must create an UCL & LCL for each of them!

UCL = ubar + 3* (SQRT(ubar / n)) where n is the # of items in the lot size

LCL = ubar – 3* (SQRT(ubar / n))

This makes the c chart look like a control chart married with a box plot.

## Videos about Attribute Charts

## ASQ Six Sigma Black Belt Attribute Charts Questions

**Question:** Which of the following control charts is most appropriate for monitoring the number of defects on different sample sizes?

(A) u

(B) np

(C) c

(D) p

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## ASQ Six Sigma Green Belt Attribute Chart Questions

Which of the following control charts is used to monitor discrete data?

(A) p

(B) I & mR

(C) X Bar

(D) X Bar – R

## Comments (15)

Why sample size held constant for NP chart and varies for People chart?

No idea what you mean by a people chart.

An NP chart is for samples of varying size and a P chart is for samples of a fixed size if that helps.

Is pre control tool useful for attributes inspection?

Well, I guess that depends on the precontrol tool you are using. An attribute chart is a kind of control chart where you display information on defects and defectives. This helps you visualize the enemy – variation!

If your pre-control helps you see variation better, then perhaps yes.

Under C chart and U chart you have that the purpose is to identify the # of defectives. From my notes, this statement is inaccurate, did you mean to state the # of defects for the C chart and the % of defects for the U chart?

Amy – I’ve clarified above. Hope this helps!

Hello Could some ONE helping me please, to solve the following Problem

A shop uses a control chart on maintenance workers based on maintenance errors per standard worker-hour. For each worker, a random sample of 5 items is taken daily and the statistic c/n is plotted on the worker’s control chart where c is the count of errors found in 5 assemblies and n is the total worker-hours required for the 5 assemblies.

(a) After the first 4 weeks, the record for one worker is c=22 and n=54. Determine the central line and the 3-sigma control limits.

(b) On a certain day during the 4-week period, the worker makes 2 errors in 4,3 standard worker-hour. Determine if the point for this day falls within control limits.

One-on-One coaching is reserved for members of the site. If you’d like to join, I’d love to help you! You can find more information here.

If you don’t want to join, you’re still welcome to use the public comment to seek help. But instead of just asking the question, try to show what you’ve done and how far you’ve come and where exactly you’re stuck. It’s unlikely anyone will just solve a homework problem for you – and having someone else solve it ultimately will not help you.

Can you show the work for one of the question?

[Six Sigma Study Guide Support: Question moved to the PYSSGB member’s forum here: https://sixsigmastudyguide.com/forums/topic/can-you-show-the-work-for-one-of-the-question/ ]

The formula in the answer is different than in the page here

Note to all other audiences on this page – This question was from a member and was handled inside our member’s area.

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What’s the difference between c and cbar in your Control limit equation for c charts?

There is no difference, Larry. Just a typo where the ‘bar’ was omitted from the original equation. Thanks for letting me know – all fixed now.

10. 19. 2020 Good morning… my challenge right now is working with the tables I’ve identified and struggling with how to do the actual problems/questions. Would you consider offering, in each module, sample examples of the details of the solutions to tough problems? My focus is on regression, hypotheticals, control charts, descriptive stats and capability indices… One of the film clips you have illustrated a man using Excel to access tables and fill in listings, than complete the problem. It took him a few minutes. This is intimidating… Can any Excel program do this? And I have this question for you: are you actively participating on some Six Sigma project teams now?

Hi Bobbie,

At the beginning of each Unit/Module in the member’s course are links to recommended resources where I step through my notes on the topics and usually several ways to attach common problems. There are also other practical notes for applying these techniques in the real world outside of certification, which is why you see that some videos have excel or other tools.

When you take the quiz questions in the member areas you can also see a full walkthrough for each problem showing you exactly how to do it.

Question #29: In a T-shirt factory, four lots with 150 samples each were inspected for defects such as open seams, incorrect thread selection and skipped stitches. They found 10, 5, 5 and 5 defects respectively. Determine the UCL.

Hi Ted, can you help show the math for this question. I am using the formula provided about for the c-chat UCL and am not getting answers that match with the available options. Thanks in advance for your help.