Data & Probability · Capstone · C1

Data & chance.

Everything together: find the mean, median, mode, and range of a data set, and compute probabilities as fractions — choosing the right measure for each question.

01 / THE IDEA

See it work.

The data

See the values.

61329364

Watch the method

Data & chance

Pick the right summary; compute carefully.

1 / 2
Find the mix of: 6, 3, 9, 6.
1

Add the values

Find the total of every value in the set.

6+3+9+6=246 + 3 + 9 + 6 = 24
2

Divide by how many

The mean is the total divided by the number of values.

244=6\frac{24}{4} = 6
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type the answer — a fraction or decimal is fine.

streak 0
best 0

…

— / WHY IT WORKS

The idea underneath.

The toolkit

Center (mean/median/mode), spread (range), and probability (favorable ÷ total).

Why it works

Name what’s asked, then compute.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Find the mix of: 5, 2, 8, 8, 11.

1

Add the values

Find the total of every value in the set. 5 + 2 + 8 + 8 + 11 = 34

2

Divide by how many

The mean is the total divided by the number of values. 34/5 = 34/5

EX 2medium

Find the mix of: 3, 10.

1

Add the values

Find the total of every value in the set. 3 + 10 = 13

2

Divide by how many

The mean is the total divided by the number of values. 13/2 = 13/2

EX 3hard

Find the mix of: 4, 8, 10, 11, 3, 6.

1

Add the values

Find the total of every value in the set. 4 + 8 + 10 + 11 + 3 + 6 = 42

2

Divide by how many

The mean is the total divided by the number of values. 42/6 = 7

04 / COMMON TRAPS

Where students slip.

Trap

Mixing up the measures.

Fix

Mean averages; median is the middle; mode is most common.

Trap

Unreduced probabilities.

Fix

Always simplify the fraction.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Find the mix of: 9, 10.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
C2

Find the mix of: 13, 8, 4, 12, 21.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
C3

Find the mix of: 7, 4, 5, 5, 6.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
C4

Find the mix of: 9, 12.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
Apply

Apply (4)

A1

Find the mix of: 4, 17, 18, 9, 5.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
A2

Find the mix of: 3, 9, 3, 10, 5.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
A3

Find the mix of: 27, 24, 22, 6, 29, 9.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
A4

Find the mix of: 3, 8, 10, 5.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
Extension

Extension (4)

E1

Find the mix of: 5, 8.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
E2

Find the mix of: 7, 8.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
E3

Find the mix of: 14, 8, 9, 11, 16.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.
E4

Find the mix of: 7, 30, 27, 30, 29, 16.

Need a hint?
  • Identify what’s being asked.
  • Apply the matching method.