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Difficulty: MediumCalculating with Data

Bioacousticians measured the echolocation click rate (in clicks per minute, clicks/min\text{clicks/min}) of a harbor porpoise at four different water depths across three 15-minute observation trials. The results are summarized in the table below:

Water Depth (m)Trial 1 (clicks/min)Trial 2 (clicks/min)Trial 3 (clicks/min)
10120115125
20140148138
30185170185
40210205215

Based on the table, what is the average echolocation click rate, in clicks/min\text{clicks/min}, across all three trials at a depth of 30 m?

Answer: 180 clicks/min

Answer

The average echolocation click rate at a depth of 30 m across all three trials is 180 clicks/min.
To calculate the average echolocation click rate at 30 m depth, locate the row for 30 m, add the click rates from the three trials (185+170+185=540185 + 170 + 185 = 540), and divide by the number of trials (540÷3=180 clicks/min540 \div 3 = 180\text{ clicks/min}).

Step-by-Step Solution

1
Locate the depth row for 30 m in the provided data table.
Retrieved values for Trial 1 (185), Trial 2 (170), and Trial 3 (185).
The question specifically requests calculations for the 30 m depth.
2
Sum the recorded click rates across the three trials.
185+170+185=540 clicks/min185 + 170 + 185 = 540\text{ clicks/min}.
Obtaining the sum is required before dividing by the total count of trials.
3
Divide the calculated sum by 3.
5403=180 clicks/min\frac{540}{3} = 180\text{ clicks/min}.
Calculating the arithmetic mean yields the average click rate.

Key Concept

Calculating the arithmetic mean from tabular data
Estimated Time:1m 0s
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Topics

Calculating with Data

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