L2 · The Mode: None, One, or Several

Learning goal

“I can find the mode of a data set - and I know a data set can have one mode, several modes, or no mode at all.”

Mode — the category with the highest frequency. The mode is the category's name, not the count.

Frequency — the count of data points in a category (review from L1).

No mode — what a data set has when every category has the same frequency, so no category is "most frequent."

Multiple modes — what a data set has when two or more categories tie for the highest frequency. Every tied category is a mode.

Worked example

Students were asked which pets live at their home. The frequency table is: Dog 9, Cat 6, Fish 3, None 2 (total 20). Step 1: Find the highest frequency: 9. Step 2: Read across to the category that owns it: Dog. Step 3: Say the mode properly: the mode is Dog. The 9 is Dog's frequency - it tells how many, it is not the mode itself. Say it plainly, every time: mode = the category; frequency = its count. Keep the two words separate and most mode mistakes never happen.

Check yourself — explain it

Why is the mode "Dog" and not "9"?

Paired problem — example still visible

Favourite subjects: Math 5, Art 8, Gym 6, Music 3. What is the mode, and what is its frequency? -> Mode: Art; frequency 8

Faded completion — last step is yours

"Shoes worn today: Sneakers 11, Boots 5, Sandals 4. The highest frequency is ___. It belongs to the category ___, so the mode is ___." -> 11; Sneakers; Sneakers

Ready to practise?

10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.

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