Data & Probability · Measures of center · 1.3

Mode (most common).

The mode is the value that appears most often. A data set can have one mode, more than one, or none. In 4, 7, 7, 2, 5 the mode is 7 — it shows up twice.

01 / THE IDEA

See it work.

The data

See the values.

4172732455

Watch the method

Mode (most common)

Mode = the most frequent value.

1 / 2
Find the mode of: 4, 7, 7, 2, 5.
1

Count each value

Tally how often each value appears.

4,7,7,2,54, 7, 7, 2, 5
2

Most frequent

The mode is the value that appears most often.

77
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 crowd favorite

The mode is the value with the tallest bar — the one that occurs most.

Why it works

Which value shows up most?

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Find the mode of: 5, 5, 7, 8, 5, 6, 7.

1

Count each value

Tally how often each value appears. 5, 5, 7, 8, 5, 6, 7

2

Most frequent

The mode is the value that appears most often. 5

EX 2medium

Find the mode of: 6, 8, 8, 4, 8, 3, 4.

1

Count each value

Tally how often each value appears. 6, 8, 8, 4, 8, 3, 4

2

Most frequent

The mode is the value that appears most often. 8

EX 3hard

Find the mode of: 7, 4, 7, 5, 7, 7.

1

Count each value

Tally how often each value appears. 7, 4, 7, 5, 7, 7

2

Most frequent

The mode is the value that appears most often. 7

04 / COMMON TRAPS

Where students slip.

Trap

Confusing mode with mean.

Fix

Mode is the most frequent value, not the average.

Trap

Picking the biggest value.

Fix

Mode is the most COMMON, not the largest.

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 mode of: 7, 6, 6, 8, 3, 4.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
C2

Find the mode of: 8, 2, 4, 5, 3, 4, 2.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
C3

Find the mode of: 2, 5, 1, 8, 5, 2.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
C4

Find the mode of: 5, 8, 2, 3, 8, 1.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
Apply

Apply (4)

A1

Find the mode of: 1, 8, 8, 4, 8, 5.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
A2

Find the mode of: 6, 6, 6, 6, 4, 3, 4.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
A3

Find the mode of: 5, 1, 2, 1, 6, 6.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
A4

Find the mode of: 5, 5, 2, 5, 2, 4.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
Extension

Extension (4)

E1

Find the mode of: 5, 6, 8, 4, 5, 7.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
E2

Find the mode of: 7, 8, 4, 8, 8, 7.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
E3

Find the mode of: 2, 7, 5, 6, 2.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.
E4

Find the mode of: 4, 3, 4, 3, 2, 7.

Need a hint?
  • Count how often each value appears.
  • Pick the most frequent.