Question

Amelia has six cousins. These are their ages:

9, 4, 7, 3, 10, 9, 8

(3 points)
What is the mode of the data? The mode is the value that appears most often.

What is the median of the data? The median is the middle value when the values are ordered from least to greatest.

What is the range of the values? The range is the difference between the greatest value and the smallest value.

Answer 1

Let's find the mode, median, and range of the ages of Amelia's cousins.

### Ages of cousins:
9, 4, 7, 3, 10, 9, 8

#### 1. Mode:
The mode is the number that appears most frequently in a dataset.

From the given ages:
- 9 appears 2 times
- 4 appears 1 time
- 7 appears 1 time
- 3 appears 1 time
- 10 appears 1 time
- 8 appears 1 time

The mode is **9**, as it appears most frequently.

#### 2. Median:
To find the median, we need to order the ages from least to greatest.

Ordered ages: **3, 4, 7, 8, 9, 9, 10**

Since there are 7 numbers (an odd set), the median is the middle number, which is the 4th number in this ordered list.

The median is **8**.

#### 3. Range:
The range is calculated as the difference between the greatest value and the smallest value.

Greatest value: **10**
Smallest value: **3**

Range = Greatest value - Smallest value = 10 - 3 = **7**

### Summary:
- Mode: 9
- Median: 8
- Range: 7