Question

HH.1 Calculate mean, median, mode, and range
U2A
or
Ariana started a dog-walking business, charging different rates for 6 clients based on dog size and behavior. The rates were:
$9.00$6.00$9.00$8.00$7.00$9.00
What was the mean rate charged?

$

Answer 1

To calculate the mean rate charged, we need to sum all the rates and then divide by the number of clients.

The rates charged are:
$9.00, $6.00, $9.00, $8.00, $7.00, $9.00

1. **Sum the rates:**
\[
9.00 + 6.00 + 9.00 + 8.00 + 7.00 + 9.00 = 48.00
\]

2. **Count the number of clients:**
There are 6 clients.

3. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Clients}} = \frac{48.00}{6} = 8.00
\]

So, the mean rate charged is **$8.00**.

Next, let's find the median, mode, and range.

4. **Median**:
To find the median, we first arrange the rates in ascending order:
\[
6.00, 7.00, 8.00, 9.00, 9.00, 9.00
\]
Since there are 6 numbers (even), the median will be the average of the 3rd and 4th values:
\[
\text{Median} = \frac{8.00 + 9.00}{2} = \frac{17.00}{2} = 8.50
\]

5. **Mode**:
The mode is the number that appears most frequently. In this case, the rate of $9.00 appears 3 times. Therefore, the mode is **$9.00**.

6. **Range**:
The range is calculated by subtracting the smallest rate from the largest rate:
\[
\text{Range} = 9.00 - 6.00 = 3.00
\]

### Summary of Results:
- **Mean**: $8.00
- **Median**: $8.50
- **Mode**: $9.00
- **Range**: $3.00