To analyze the given data pairs (1-1, 2-2, 3-5, 4-2, 5-1), we first need to extract the values associated with each number:
- For 1: 1
- For 2: 2
- For 3: 5
- For 4: 2
- For 5: 1
Now, we can organize these values into a list:
1, 2, 5, 2, 1
Next, we'll calculate the mean and median.
Mean
To find the mean, we sum all the values and divide by the number of values.
\[ \text{Mean} = \frac{1 + 2 + 5 + 2 + 1}{5} = \frac{11}{5} = 2.2 \]
Median
To find the median, we first sort the values:
1, 1, 2, 2, 5
The median is the middle number in the sorted list. Since there are 5 numbers (an odd set), the median will be the 3rd number:
- The median is 2.
Relationships
Now, we can compare the mean (2.2) and the median (2):
- Mean (2.2) is greater than Median (2).
Therefore, the correct response is:
The mean is greater than the median.