Let's calculate the mean, median, mode, and range for the list of values: 1, 2, 4, 7.
Mean
To find the mean, sum all the values and divide by the number of values:
\[ \text{Mean} = \frac{1 + 2 + 4 + 7}{4} = \frac{14}{4} = 3.5 \]
Median
To find the median, first, arrange the values in order (they are already in order here):
1, 2, 4, 7
Since there is an even number of values, the median is the average of the two middle values (2 and 4):
\[ \text{Median} = \frac{2 + 4}{2} = \frac{6}{2} = 3 \]
Mode
The mode is the value that appears most frequently. In this dataset, each number appears exactly once, so there is no mode.
\[ \text{Mode} = \text{None} \]
Range
To find the range, subtract the smallest value from the largest value:
\[ \text{Range} = 7 - 1 = 6 \]
Summary
- Mean: 3.5
- Median: 3
- Mode: None
- Range: 6
These values correspond to the calculated statistics for the given list.
1 answer