The Manga Guide to Statistics

2. An Example of Tricky Categorical Data

But to me...

The first

question does

not lk like

categorical

data...

I understand why

you fl that way.

Te me why

it is!

Though it does not

lk like categorical

data, this is indd

data that caot be

measured.

How

come?

Because the

data caot

be equay

separated.

I sti don't

get it.

Here's

a gd

example.

Q1.

Wha

t

is your

impr

e

Melon High School Sto

r

20 Chapter 1

Now, te me

your...u...

What?

Weight.

That is

something

you

should

never ask

a lady!

Then, could

you te me

your height?

151cm.

When you measure

your height, you

use the scale,

don't you?

Of course!

Why didn't you

ask me that in the

first place?

I'm glad you're

not upset by this

question.

I'm

soy...

Determining Data Types 21

151cm exactly.

Lk at this

scale.

It's divided into single

centimeters.

So the graduation above

151cm is 152, and it procds

to 153, 154, and so on, in

equal intervals.

If the intervals betwn

each graduation are

equal...

YEAH.

This implies that

"height" can be

measured and thus is

a numerical data type.

I s!

Now, let's move

on to the next

example.

Now

what?

Let me find some

information on

the web...

I believe you have paed grade

pre-2 of the test in practical

english proficiency by the society

for testing english proficiency.

What's that?

I mean, the

so-caed

step test.

Oh, that.

Yes, I am a

grade pre-2

holder.

Wapaper?!

Determining Data Types 23

Gue which

type of data the

grades of the

STEP test are.

Um...

Numerical?

Got you!

Lk at the diiculty

of the step test

grades.

There are big

dierences in

the required

vocabulary betwn

each grade.

Right. But in aition,

vocabulary is not

the only dierence

betwn grades.

There are other

aspects.

(from the Society for Testing English Proficiency

,

http://www.eiken.or.jp/)

The STEP Test Grades

Grade Requirements

Grade 1 Advanced university graduate level, vocabulary 10,000 – 15,000 words

Grade 2 High school graduate level, vocabulary 5,100 words

Grade 3 Junior high school graduate level, vocabulary 2,100 words

Grade 4 Intermediate junior high school level, vocabulary 1,300 words

Grade 5 Beginner junior high school level, vocabulary 600 words

24 Chapter 1