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Week 04 · Collecting and Recording

Tuesday

How often to count?
// One row per member, one column per question
⏱ about 20 min

Tuesday: How Often to Count?

On Saturday, the crew sits by the Commons door with a clipboard. Their job is a door count: how many people come in.

Comet has a plan. "Let's write a number every single minute! Then we will know everything."

Wren does the math in the margin. "Ten hours is six hundred minutes. That is six hundred numbers on one sheet."

"Too many?" Comet asks.

"Maybe," Wren says. "Once an hour is only ten numbers. What do you notice about what each one tells us?"

Nova hovers above the clipboard. "Would you like a hint?" she asks. "Every choice keeps some detail and drops some. Decide what the council needs."

Comet taps her pencil. "So how often should we count?"

Detail, storage and sampling

Ways of collecting data can differ in the storage they need, the detail they collect and how often they sample.

Some data, like daylight through a window, change smoothly over time. These are called analog data.

Analog data can be closely matched digitally by measuring them at regular intervals. Each measurement is called a sample.

Using samples to stand in for something that changes smoothly is an example of abstraction.

The crew's door count uses the same idea. They choose a regular interval and write one number for each one.

The Saturday door count

Here is the crew's hourly count. Each number is how many people came through the door in the hour that starts at that time.

Hour startingPeople through the door
10 am5
11 am8
12 pm6
1 pm7
2 pm9
3 pm11
4 pm14
5 pm16
6 pm12
7 pm7
Total95

This is made-up data from the Commons Count story.

READ THE HOURLY COUNT
  • Read the question.
  • Tap your answer.
Which hour was the busiest?
Which hour was the quietest?
How many numbers did the crew write for the whole day?

Every 15 minutes instead

For one hour, Wren also counted every 15 minutes. Here is the 4 pm hour, split into four parts.

15 minutes startingPeople through the door
4:00 pm3
4:15 pm2
4:30 pm4
4:45 pm5
Total for the hour14

The four parts add up to 14, the same as the hourly count. But now the crew can see more people arriving near 5 pm.

More detail meant four numbers instead of one. A whole day at this rate needs four times as many numbers.

TRADE DETAIL FOR STORAGE
  • Read the question.
  • Tap your answer.
The crew counts every 15 minutes from 10 am to 8 pm. How many numbers is that?
What is 3 plus 2 plus 4 plus 5?
What does the 15-minute count show that the hourly count hides?
StatementTrue or false?
Collecting more detail usually means storing more numbers.?
Sampling means measuring at regular intervals.?
Counting once an hour shows every change inside the hour.?
Using samples to stand in for smooth change is a kind of abstraction.?
WHY THIS EXERCISEChoosing a sampling rate is a trade between detail and storage, and every collector makes it.
Measuring something at regular intervals is called ____. Type one word.
WHY THIS EXERCISEThe word names the choice every data collector makes about how often to measure.
Try it
Pick a clock or watch at home and look at it every 5 minutes for half an hour.
Each time, write one thing that changed in the room, such as the light or the sound.
Then ask yourself what you might have missed between your samples.

Sharp thinking. Tomorrow in Count Lab you will turn a stack of answers into a tally and a frequency table.

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