Question

Then, to show the mean, you can move the symbols so that each band member raised

an equal amount.

6 7 8 9 10

4 5

3

$ $ $ $ $ $ $

$

$

$

$

$

$

$

$ $ $

$ $ $

2

1

Answer 1

To find the mean (average) of a set of numbers, you first add all the numbers together and then divide by the total count of the numbers.

Let's use the numbers you provided: 6, 7, 8, 9, and 10.

1. **Sum the numbers**:
\( 6 + 7 + 8 + 9 + 10 = 40 \)

2. **Count the numbers**:
There are 5 numbers in total.

3. **Calculate the mean**:
\( \text{Mean} = \frac{\text{Sum of numbers}}{\text{Count of numbers}} = \frac{40}{5} = 8 \)

So, the mean of the numbers is 8.

If you want to show that each band member raised an equal amount to reach this mean, you could visualize it by adjusting the values towards 8.

For example, starting from:

- Member 1: 6
- Member 2: 7
- Member 3: 8
- Member 4: 9
- Member 5: 10

You can raise the first two members slightly and lower the last two to balance out to make each value equal to the mean of 8:

- Adjusted:
- Member 1: 8 (raised 2)
- Member 2: 8 (raised 1)
- Member 3: 8 (no change)
- Member 4: 8 (lowered 1)
- Member 5: 8 (lowered 2)

This way, you can demonstrate that each band member can reach the average amount of 8.