Statistics: Finding the Mode

In this worksheet, students calculate the mode of a given set of data.

Key stage:  KS 2

Curriculum topic:  Statistics

Curriculum subtopic:  Calculate Average/Interpret Mean

Difficulty level:

QUESTION 1 of 10

There are several different types of averages.

An average is one number that represents a set of numbers.

The MODE or the MODAL VALUE is simply the most frequently occuring number.....the one that appears most often in a list.

Example

Find the MODE of this set of numbers:    5,  4,  8,  4,  3,  3,  8,  4,  1

The MODE is 4 because it occurs three times, which is more than any other number.

Work out the MODE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

Work out the MODAL value of this list of shoe sizes, taken from children in a football team:

5,  8,  7,  7,  6,  5,  6,  7,  6,  8,  7

Work out the MODE of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

Work out the MODE of this list of numbers:

15,  1200,  15,  1700,  203,  105,  145,  167

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the MODAL temperature in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows.

Work out the MODAL temperature in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

Work out the MODE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

Work out the MODAL value of this list of shoe sizes, taken from children in a hockey team:

5½,  8,  7,  7½,  6,  5,  6,  7,  6,  8,  7½

Work out the MODE of this list of numbers:

5.2,  8.4,  7.1,  7,  3,  5.8,  8.4,  7

Work out the MODE of this list of numbers:

5,  8,  -7,  7,  3,  5,  -8,  7,  -3,   0,  -5,  5

• Question 1

Work out the MODE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

7
• Question 2

Work out the MODAL value of this list of shoe sizes, taken from children in a football team:

5,  8,  7,  7,  6,  5,  6,  7,  6,  8,  7

7
• Question 3

Work out the MODE of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

15
• Question 4

Work out the MODE of this list of numbers:

15,  1200,  15,  1700,  203,  105,  145,  167

15
EDDIE SAYS
Sometimes the mode is not a good representative average!
• Question 5

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the MODAL temperature in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

18
• Question 6

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows.

Work out the MODAL temperature in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

35
• Question 7

Work out the MODE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

7
• Question 8

Work out the MODAL value of this list of shoe sizes, taken from children in a hockey team:

5½,  8,  7,  7½,  6,  5,  6,  7,  6,  8,  7½

6
• Question 9

Work out the MODE of this list of numbers:

5.2,  8.4,  7.1,  7,  3,  5.8,  8.4,  7

8.4
7
• Question 10

Work out the MODE of this list of numbers:

5,  8,  -7,  7,  3,  5,  -8,  7,  -3,   0,  -5,  5