To calculate the mean, median, mode, and range of the list of values \(1, 2, 4, 7\):
-
Mean: \[ \text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{1 + 2 + 4 + 7}{4} = \frac{14}{4} = 3.5 \]
-
Median: The median is the middle value when the numbers are arranged in order. Since there are four numbers (even count), the median is the average of the two middle numbers: \[ \text{Median} = \frac{2 + 4}{2} = \frac{6}{2} = 3 \]
-
Mode: The mode is the number that appears most frequently. In this list, all numbers occur only once, so there is no mode. \[ \text{Mode} = \text{None} \]
-
Range: The range is the difference between the highest and lowest values: \[ \text{Range} = \text{Max} - \text{Min} = 7 - 1 = 6 \]
Summary:
- Mean: 3.5
- Median: 3
- Mode: None
- Range: 6
1 answer