For a homework assignment, Lily measured the volume of 10 drinking glasses in her family's kitchen. The volumes of the glasses were:

Question

7 ounces6 ounces8 ounces6 ounces7 ounces6 ounces9 ounces6 ounces9 ounces6 ounces
What was the mean volume?

ounces

Answer 1

To calculate the mean volume of the drinking glasses, you need to add up all the volumes and then divide by the number of glasses.

Here are the volumes of the glasses:

• 7 ounces
• 6 ounces
• 8 ounces
• 6 ounces
• 7 ounces
• 6 ounces
• 9 ounces
• 6 ounces
• 9 ounces
• 6 ounces

First, let's sum the volumes:

\[ 7 + 6 + 8 + 6 + 7 + 6 + 9 + 6 + 9 + 6 = 6 \times 5 + 7 \times 2 + 8 + 9 \times 2 = 30 + 14 + 8 + 18 = 80 \]

So, the total volume is 80 ounces.

Next, divide the total volume by the number of glasses (10):

\[ \text{Mean volume} = \frac{80}{10} = 8 \text{ ounces} \]

Thus, the mean volume is \( \text{8 ounces} \).