Question

1 through 5
1-1, 2-2, 3-5, 4-2, 5-1
Which of the following options is true about the relationship between the mean and median of the data in the graph?

(1 point)
Responses

The mean is greater than the median.
The mean is greater than the median.

The mean is less than the median.
The mean is less than the median.

The mean is equal to the median.

Answer 1

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.**