To find the mode, median, and range of Amelia's cousins' ages, we first list the ages: 9, 4, 7, 3, 10, 9, 8.
Mode
The mode is the value that appears most often in a data set.
- Ages: 9, 4, 7, 3, 10, 9, 8
- The number 9 appears twice, while all other numbers appear only once.
Mode: 9
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 values (an odd number), the median is the middle value, which is the fourth value in this ordered list.
Median: 8
Range
The range is the difference between the greatest value and the smallest value:
- Greatest value: 10
- Smallest value: 3
Calculating the range: \[ \text{Range} = 10 - 3 = 7 \]
Range: 7
Summary
- Mode: 9
- Median: 8
- Range: 7