HH.1 Calculate mean, median, mode, and range

Question

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