S6 Mathematics

S6 Mathematics (DSE Compulsory Part): Data Handling — organising data, averages (mean, median, mode), probability, statistical charts and dispersion, with DSE-style examples and quizzes.

The order below is the recommended shallow-to-deep path.

Units 單元

Tap a unit name to jump to its topics.

數據處理 Data handling5/5 live

  1. 1Data Handling and Bar ChartsBasic
  2. 2Mean, Median, ModeBasic
  3. 3Basic ProbabilityBasic
  4. 4Reading Statistical ChartsBasic
  5. 5Data DispersionIntermediate
⚡ Unit quiz 快測5 Qs

Answer on your own first, then reveal — wrong answers go to your wrong-answer book.

Q1Frequency is?

Q2Mean = ?

Q3Probability between?

Q4Pie chart all sum = ?

Q5Range = ?

Vocabulary book 生字簿

All terms, bilingual (printable).

D
Data數據

Numbers collected.

F
Frequency頻數

How many times each item appears.

F
Frequency table頻數表

Table listing each item and frequency.

B
Bar chart棒形圖

Use bars of different length to show frequency.

T
Tally劃記

Tally mark, one 正 character means 5.

C
Cumulative累積

Add up from start.

D
Distribution分佈

Where data concentrates.

R
Raw data原始數據

Unorganized numbers.

M
Mean平均數

All numbers sum divide by count.

M
Median中位數

Middle number after sorted.

M
Mode眾數

Number that appears most times.

S
Sorted排好序

Sorted from small to large.

O
Outlier極端值

Extremely large or small number, will skew mean.

M
Middle中間

Position exactly middle after sorted.

M
Most frequent最頻密

Highest frequency.

A
Average平均

Represent data central tendency.

P
Probability概率

Chance event happens, from 0 to 1.

E
Event事件

Something that may happen, e.g. roll die get 3.

O
Outcome結果

How many possibilities one trial has.

S
Sample space樣本空間

All possible outcomes.

F
Favorable有利

Results that meet event requirement.

I
Impossible不可能

Probability = 0, definitely won't happen.

C
Certain必然

Probability = 1, definitely will happen.

E
Equally likely等可能

Each outcome same chance.

P
Pie chart圓餅圖

Use sector to show each part percent of whole.

L
Line chart折線圖

Connect data with line, see trend change.

T
Trend趨勢

Data up or down.

P
Percent百分比

Each part percent of whole.

M
Misleading誤導

Chart intentionally change axis, make difference look big.

S
Scale刻度

Numbers on axis.

C
Compare比較

See which big which small.

C
Conclusion結論

Result seen from chart.

R
Range域

Max minus min.

Q
Quartile四分位數

After sorted, split data into four parts.

I
Inter-quartile range四分位距

Q3 - Q1, middle half data range.

S
Standard deviation標準差

Measure data spread, bigger more spread out.

S
Spread分散

How even data is.

M
Max最大值

Largest number in data.

M
Min最小值

Smallest number in data.

C
Consistency穩定性

Data more concentrated more stable.

More units rolling out in batches — same illustrated format.