Question

cindy prepared and shipped a variety of gift baskets that had been ordered. the 10 packages weighed: 6 pounds, 5 pounds, 8 pounds, 6 pounds, 9 pounds, 8 pounds, 6 pounds, 8 pounds, 8 pounds, 9 pounds. what was the mode of the weights? pounds

Explanation:

Step1: List the weights

The weights are: 6, 5, 8, 6, 9, 8, 6, 8, 9, 8 (wait, let's count again. Wait the 10 packages: let's list all 10. Wait the original: 6,5,8,6,9,8,6,8,9,8? Wait no, let's check the image. Wait the packages: 6,5,8,6,9,8,6,8,9,8? Wait no, let's count the occurrences. Wait the given weights: 6 pounds (how many times?), 5 pounds (1), 8 pounds (how many?), 9 pounds (how many?). Let's list each weight and count:

• 5 pounds: 1 time
• 6 pounds: let's see, the first is 6, then fourth is 6, seventh is 6. So 3 times? Wait no, wait the list: first 6, then 5, 8, 6, 8, 6, 9, 8, 8, 9? Wait no, the user's image: let's parse the text. The 10 packages weighed: 6, 5, 8, 6, 8, 6, 9, 8, 8, 9? Wait no, the text: "6 pounds, 5 pounds, 8 pounds, 6 pounds, 9 pounds, 8 pounds, 6 pounds, 8 pounds, 9 pounds, 8 pounds" Wait wait, let's count again. Wait the user's text: "6 pounds, 5 pounds, 8 pounds, 6 pounds, 8 pounds, 6 pounds, 9 pounds, 8 pounds, 9 pounds, 8 pounds" Wait no, maybe I misread. Wait the correct list: let's list each weight:

1. 6
2. 5
3. 8
4. 6
5. 8
6. 6
7. 9
8. 8
9. 9
10. 8

Wait no, maybe the correct list is: 6,5,8,6,8,6,9,8,9,8. Wait now count each:

• 5: 1
• 6: positions 1,4,6 → 3 times?
• 8: positions 3,5,8,10 → wait no, position 3:8, 5:8, 8:8, 10:8, and also position 7? Wait no, maybe I made a mistake. Wait the original problem: the 10 packages: let's count the number of times each weight appears:

• 5 pounds: 1
• 6 pounds: let's see, the first is 6, then fourth (6), sixth (6) → 3 times? Wait no, maybe the correct count:

Wait the weights are: 6, 5, 8, 6, 8, 6, 9, 8, 9, 8. Wait now:

• 5: 1
• 6: 3 (indices 0,3,5)
• 8: 4 (indices 2,4,7,9)
• 9: 2 (indices 6,8)

Wait no, maybe I miscounted. Wait the user's image: the packages are: 6,5,8,6,8,6,9,8,9,8? Wait no, let's check again. Wait the text: "6 pounds, 5 pounds, 8 pounds, 6 pounds, 8 pounds, 6 pounds, 9 pounds, 8 pounds, 9 pounds, 8 pounds" → that's 10 packages. So:

• 5: 1
• 6: 3 (first, fourth, sixth)
• 8: 4 (third, fifth, eighth, tenth)
• 9: 2 (seventh, ninth)

Wait no, third is 8, fifth is 8, eighth is 8, tenth is 8 → that's 4 times? Wait third:8, fifth:8, eighth:8, tenth:8 → 4 times. And sixth:6, first:6, fourth:6 → 3 times. 9: seventh and ninth → 2 times. 5: once. So the mode is the number that appears most frequently. So 8 appears 4 times, 6 appears 3 times, 9 appears 2 times, 5 appears 1 time. So the mode is 8? Wait wait, no, wait maybe I made a mistake. Wait let's list all 10 weights:

1. 6
2. 5
3. 8
4. 6
5. 8
6. 6
7. 9
8. 8
9. 9
10. 8

Wait now count:

• 5: 1
• 6: 3 (1,4,6)
• 8: 4 (3,5,8,10)
• 9: 2 (7,9)

Yes, so 8 appears 4 times, which is more than 6 (3), 9 (2), 5 (1). So the mode is 8.

Step2: Determine the mode

The mode is the value that appears most frequently in a data set. By counting the occurrences of each weight, we find that 8 pounds appears the most number of times.

Answer:

8