Mammoth Memory

Mode

Mode – Is the thing that occurs most often.

There are two ways to remember this, either:

MOdes there the MOst

The 'mo' at the start of mode is there the most.

Or:

Mode sounds like mowed.

Modes are things or numbers that occur most often in a sequence

She mowed the lawn almost every day. She was the most prolific mower. Most people thought she was crazy. It’s what she spent most of her spare time doing, but she wanted the most beautiful lawn.

Example 1

Mode in this example D occurs most often so d is the mode

D is the letter that would be the mode in this word.

 

Example 2

5 happens the most so it is the mode

5 is the mode in this group of numbers.

 

Example 3

6 happens the most so it is the mode

6 is the mode in this group of numbers.

 

Example 4

There are 3 21's so 21 is the mode

21 is the mode in this group of numbers.

Why is the mode used?

Example 1

The mode is useful if you are dealing with data that cannot be expressed numerically. For example, a manager wants to find out what colour shirts her employees wear most frequently. She collects the data and realises that she cannot use the mean or median to work out what colour her employees prefer because there aren't any numbers involved. 

However, she could work out a mode as follows.

Monday: Red, Blue, Black, Pink, Green, and Blue

Tuesday: Green, Blue, Pink, White, Blue, and Blue

Wednesday: Orange, White, White, Blue, Blue, and Red

Thursday: Brown, Black, Brown, Blue, White, and Blue

Friday: Blue, Black, Blue, Red, Red, and Pink

What is the mode of the colours above?

Red

Blue

Black

Pink

Green

White

Orange

Brown

4

11

3

3

2

4

1

2

Here we can see that the mode is blue. The choice of new uniform should be blue.

 

Example 2

The mode is useful for manufacturers because it allows them to work out what is selling best and therefore know what they need to produce.

 

Book

 

A

B

C

D

E

Requests from supplier X

60

30

40

4000

30

Requests from supplier Y

70

40

35

3000

35

Requests from supplier Z

71

43

31

3000

40

 

Total these up:

Book

A

B

C

D

E

201

113

106

10000

105

The mode is book D.

They must manufacture more of book D.

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