To determine the variation in depth for the seven dives, we need to follow a few steps:
1. List the Depths:
The depths of the seven dives are as follows:
- Dive 1: [tex]\(-14\)[/tex] meters
- Dive 2: [tex]\(-21\)[/tex] meters
- Dive 3: [tex]\(-7\)[/tex] meters
- Dive 4: [tex]\(-25\)[/tex] meters
- Dive 5: [tex]\(-19\)[/tex] meters
- Dive 6: [tex]\(-32\)[/tex] meters
- Dive 7: [tex]\(-18\)[/tex] meters
2. Identify the Maximum Depth:
Out of the given depths, the maximum depth (least negative or highest value) is [tex]\(-7\)[/tex] meters.
3. Identify the Minimum Depth:
Out of the given depths, the minimum depth (most negative or lowest value) is [tex]\(-32\)[/tex] meters.
4. Calculate the Variation in Depth:
The variation in depth is calculated by finding the difference between the maximum and minimum depths.
[tex]\[
\text{Variation in Depth} = \text{Maximum Depth} - \text{Minimum Depth}
\][/tex]
Substituting the identified values:
[tex]\[
\text{Variation in Depth} = (-7) - (-32)
\][/tex]
Simplify the expression:
[tex]\[
\text{Variation in Depth} = -7 + 32 = 25
\][/tex]
Therefore, the variation in depth for the seven dives is [tex]\(25\)[/tex] meters.
