Compare Averages: Does 9,0 Equal the Mean of 9,0,0?

Video Solution

Solution Steps

00:09 Let's calculate the average for each group and pick the right sign.

00:14 To find the average, divide the total sum by how many times it appears.

00:27 That's the average! Now, let's apply the same steps for the second group.

00:53 Next, we'll compare and find the matching sign!

00:59 And there you have it! That's how we solve the problem.

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: The first group is $(9,0)$ . To find the average:

$\text{Average of (9,0)} = \frac{9 + 0}{2} = \frac{9}{2} = 4.5$

Step 2: The second group is $(9,0,0)$ . To find the average:

$\text{Average of (9,0,0)} = \frac{9 + 0 + 0}{3} = \frac{9}{3} = 3$

Now, we compare the two averages:

$4.5$ compared to $3$ .

Since $4.5$ is greater than $3$ , we mark the appropriate sign as $\gt$ .

Therefore, the solution to the problem is $9,0 \gt 9,0,0$ .