Architecture of Grace
Mathematics · Number Concepts & Data

The Interior Mathematics

Concepts & Data · Activity 9 — The Odd One Out. Find the number sitting far from the others, then watch what it does to the average. Work it here, or print it and use a pencil — both count.

Saved on this computer only.

How do I know that's true?

There is no send button, no upload, no account, no sign-in. Your work is saved on this one computer so you can come back to it — and you can erase it whenever you want.

This page has no way to send anything. It saves your work in this browser's own storage on this machine. It loads nothing from the internet and sends nothing out, so there is no copy anywhere else — not with your teacher, not with the school, not with anyone.

This one is different from the Wednesday worksheets. Those are your own thinking and nobody reads them. This is math, and math is meant to be looked at together — your teacher may stand next to you and read this screen, and may write down how it went. Nothing travels on its own; a person has to be standing here.

Asking for a hint is not cheating. The hints are part of the lesson. Using them tells your teacher what to teach next, which is exactly what they are for.

If you share this computer, erase before you go. Anyone who uses this same browser profile could open the page and see your work. That is what the erase buttons are for, and using them is completely normal.

Concepts & Data · Activity 9

The Odd One Out

Most of the numbers keep close company. Sometimes one wanders off on its own — that one has a name: an outlier. Find it, then see what it does to the average.

On this computer only

No score is kept. No points, no streak, no ranking — the only number anyone writes down is the one your teacher writes down, standing next to you.

1 · Minutes it takes to walk to school

3 · 4 · 3 · 5 · 5 · 10

Draw one X for each number, stacked on top of its place.

234567891011

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

2 · Books on the shelf

7 · 8 · 7 · 9 · 9 · 2

Draw one X for each number, stacked on top of its place.

12345678910

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

3 · Cousins

2 · 3 · 2 · 4 · 3 · 4 · 10

Draw one X for each number, stacked on top of its place.

1234567891011

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

4 · Pencils in the box

4 · 5 · 4 · 6 · 5 · 6

Draw one X for each number, stacked on top of its place.

34567

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

5 · Goals this season

6 · 7 · 6 · 8 · 7 · 8 · 0

Draw one X for each number, stacked on top of its place.

0123456789

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

6 · Hours of sleep

8 · 9 · 8 · 10 · 10 · 3

Draw one X for each number, stacked on top of its place.

234567891011

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

7 · Minutes on the phone

5 · 5 · 6 · 4 · 5 · 11

Draw one X for each number, stacked on top of its place.

456789101112

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

8 · Steps to the door

9 · 10 · 9 · 11 · 10 · 11

Draw one X for each number, stacked on top of its place.

89101112

1. Circle the odd one out — or write none.

2. Mean with everyone:

3. Mean without the odd one:

How confident are you with these?

There is no right answer here. It only tells your teacher where to start next time.

For the teacher — this device only

One probe row, built from what happened on this screen. Copy it into the Goal Builder yourself, or print this page. Independent means found with no hints; supported means found after a hint. Both are real evidence and neither is a grade.

Date
Skill
Spot an outlier and tell how it pulls the mean
Measure
Trials (x of y)
Independent
0 of 8
Supported
0 of 8
Hints used
0
Confidence
Watched the demo
Stretch

Six of the eight hold an outlier; two do not, and on those the skill is saying so. Only the spotting is scored — the second question, which number tells the truer story, is a judgment and both answers are respected. Set 2 and Set 3 are the same eight skills with different data, so the same student can be probed three weeks running without being measured on memory.

Saved on this computer