Question

The data below shows the results that Desean got when he rolled two dice and recorded their total value, by adding the two dice together. How many trials were conducted?

A table of value corresponding with frequency. 2 corresponds with 4, 3 corresponds with 9, 4 corresponds with 13, 5 corresponds with 18, 6 corresponds with 26, 7 corresponds with 37, 8 corresponds with 28, 9 corresponds with 17, 10 corresponds with 12, 11 corresponds with 11, and 12 corresponds with 5.

Answer 1

To determine the total number of trials conducted by Desean while rolling the two dice, we can sum the frequencies associated with the total values obtained. The frequencies given are:

- Total value 2: 4
- Total value 3: 9
- Total value 4: 13
- Total value 5: 18
- Total value 6: 26
- Total value 7: 37
- Total value 8: 28
- Total value 9: 17
- Total value 10: 12
- Total value 11: 11
- Total value 12: 5

Now, let's find the total number of trials by adding up all these frequencies:

\[
4 + 9 + 13 + 18 + 26 + 37 + 28 + 17 + 12 + 11 + 5
\]

Calculating this step by step:

1. \(4 + 9 = 13\)
2. \(13 + 13 = 26\)
3. \(26 + 18 = 44\)
4. \(44 + 26 = 70\)
5. \(70 + 37 = 107\)
6. \(107 + 28 = 135\)
7. \(135 + 17 = 152\)
8. \(152 + 12 = 164\)
9. \(164 + 11 = 175\)
10. \(175 + 5 = 180\)

After performing the calculation, we find that the total number of trials conducted is **180**.