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Q3

A sea diver makes 7 different dives. He measures how deep he dives. This table shows his results:

\begin{tabular}{|l|l|}
\hline Dive Number & \multicolumn{1}{|c|}{Depth} \\
\hline 1 & [tex]$-14 \, \text{m}$[/tex] \\
\hline 2 & [tex]$-21 \, \text{m}$[/tex] \\
\hline 3 & [tex]$-7 \, \text{m}$[/tex] \\
\hline 4 & [tex]$-25 \, \text{m}$[/tex] \\
\hline 5 & [tex]$-19 \, \text{m}$[/tex] \\
\hline 6 & [tex]$-32 \, \text{m}$[/tex] \\
\hline 7 & [tex]$-18 \, \text{m}$[/tex] \\
\hline
\end{tabular}

What was the variation in depth for the seven dives?

Sagot :

GinnyAnsweridn
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.
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