The mean

The Maths Habit

Share the cubes equally. How many cubes are in each tower?

12 cubes
3 towers4 in each
10 cubes
2 towers5 in each
15 cubes
5 towers3 in each

Move some cubes so the towers are all the same height.
How tall is each tower?

4 cubes each

Value
One number in a list of data.
5
Total
All the values added up.
→
Mean
The total shared out equally between the values.

mean
value+value+value=total
how manyvalues
total÷how many=mean
  1. 1Add them up.This is the total.
  2. 2Count them.How many values are there?
  3. 3Share equally.Total ÷ how many. This is the mean.

Find the mean.

627mean
1Add them up.
6 + 2 + 7 =15
2Count them.
3values
3Share equally.
15÷3=5

Find the mean.

4134mean
1Add them up.
4 + 1 + 3 + 4 =12
2Count them.
4values
3Share equally.
12÷4=3

Find the mean.

627mean
1Add them up.
6 + 2 + 7 =15
2Count them.
3values
3Share equally.
15÷3=5
1Add them up.total2Count them.how many3total÷how many=mean

Find the mean.

165mean
1Add them up.
1 + 6 + 5 =12
2Count them.
3values
3Share equally.
12÷3=4

Find the mean.

627mean
1Add them up.
6 + 2 + 7 =15
2Count them.
3values
3Share equally.
15÷3=5
1Add them up.total2Count them.how many3total÷how many=mean

Find the mean.

25143mean
1Add them up.
2 + 5 + 1 + 4 + 3 =15
2Count them.
5values
3Share equally.
15÷5=3

Find the mean.

627mean
1Add them up.
6 + 2 + 7 =15
2Count them.
3values
3Share equally.
15÷3=5
1Add them up.total2Count them.how many3total÷how many=mean

Find the mean.

73mean
1Add them up.
7 + 3 =10
2Count them.
2values
3Share equally.
10÷2=5

1Add them up.total2Count them.how many3total÷how many=mean

1Find the mean.

35
1Add them up.
3 + 5 =8
2Count them.
2values
3Share equally.
8÷2=4

2Find the mean.

276
1Add them up.
2 + 7 + 6 =15
2Count them.
3values
3Share equally.
15÷3=5

3Find the mean.

1425
1Add them up.
1 + 4 + 2 + 5 =12
2Count them.
4values
3Share equally.
12÷4=3

4Find the mean.

63623
1Add them up.
6 + 3 + 6 + 2 + 3 =20
2Count them.
5values
3Share equally.
20÷5=4

How many values are there?

5043 values
02604 values
360145 values

A 0 is a value. Count it.

Find the mean.

6037mean
1Add them up.
6 + 0 + 3 + 7 =16
2Count them.
4values
3Share equally.
16÷4=4

Find the mean.

2501mean
1Add them up.
2 + 5 + 0 + 1 =8
2Count them.
4values
3Share equally.
8÷4=2

Find the mean.

6037mean
1Add them up.
6 + 0 + 3 + 7 =16
2Count them.
4values
3Share equally.
16÷4=4
1Add them up.total2Count them.how many3total÷how many=mean

Find the mean.

075mean
1Add them up.
0 + 7 + 5 =12
2Count them.
3values
3Share equally.
12÷3=4

Find the mean.

6037mean
1Add them up.
6 + 0 + 3 + 7 =16
2Count them.
4values
3Share equally.
16÷4=4
1Add them up.total2Count them.how many3total÷how many=mean

Find the mean.

40506mean
1Add them up.
4 + 0 + 5 + 0 + 6 =15
2Count them.
5values
3Share equally.
15÷5=3

Find the mean.

6037mean
1Add them up.
6 + 0 + 3 + 7 =16
2Count them.
4values
3Share equally.
16÷4=4
1Add them up.total2Count them.how many3total÷how many=mean

Leo scores these goals in four games. Find the mean.

3054mean
1Add them up.
3 + 0 + 5 + 4 =12
2Count them.
4values
3Share equally.
12÷4=3

The mean worksheet, page 1

The mean worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. The mean of 2, 4 and 6 is 12.

    Wrong: that is the total

  2. The mean of 1, 5 and 6 is 4.

    Right

  3. The mean of 5, 0 and 7 is 6.

    Wrong: count the 0. It is 4

  4. The mean of 3, 3 and 3 is 3.

    Right

  5. The mean of 2, 6 and 4 is 6.

    Wrong: it is 4

  1. The mean of four numbers is 5. Three of them are 3, 6 and 4. What is the fourth number?

    7

  2. Find the mean of 2, 5, 3 and 4.

    3.5

  3. Find the mean of 2.5, 4 and 5.5.

    4

  4. Five friends have a mean of 6 sweets each. A sixth friend with 12 sweets joins them. What is the mean now?

    7

  1. Find the mean of 3, 8 and 4.

    5
    1Add them up.3 + 8 + 4 =152Count them.values3Share equally.15÷=

  2. Find the mean of 7, 0, 5 and 4.

    4
    1Add them up.7 + 0 + 5 + 4 =2Count them.values3Share equally.÷=

  3. Find the mean of 9, 2, 7, 3 and 9.

    6
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