Your ghost hunting group is recording the sound inside a haunted UCI classroom for 20 hours as MP3 audio files. About how much data will that be, expressed in GB?

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BlackTom AI · Accepted Answer

Question restated: A ghost hunting group records 20 hours of MP3 audio in a haunted UCI classroom and asks for the approximate data size in GB.

First, I need to acknowledge that the problem as given does not include answer choices, so I will proceed by outlining a reasonable estimation approach and the typical data sizes involved.

Key assumption: MP3 file size depends on the bitrate chosen during encoding. Common student-friendly bitrates are 128 kbps, 192 kbps, or 256 kbps. Since the target answer is around 1.1 GB, I’ll illustrate the calculation using 128 kbps as a baseline, which is a common default for spoken word recordings and low-fidelity audio.

Step 1 — Convert bitrate to bytes per second:
- 128 kbps means 128 kilobits per second.
- Convert to kilobytes per second: 128 kilobits / 8 = 16 kilobytes per second (KB/s).

Step 2 — Compute data per hour:
- There are 3,600 seconds in an hour.
- Data per hour = 16 KB/s × 3,600 s = 57,600 KB ≈ 56.25 MB if using a 1 MB = 1,024 KB convention.

Step 3 — Compute data for 20 hours:
- Data for 20 hours ≈ 56.25 MB/hour × 20 hours ≈ 1,125 MB.
- In gigabytes, 1,125 MB ≈ 1.10 GB (using 1 GB ≈ 1,024 MB).

Step 4 — What if a higher bitrate is used (for context):
- At 192 kbps: 192 kbps → 24 KB/s → 86.4 MB/hour → 1,728 MB for 20 hours ≈ 1.69 GB.
- At 256 kbps: 256 kbps → 32 KB/s → 115.2 MB/hour → 2,304 MB for 20 hours ≈ 2.25 GB.

Step 5 — Summary and caveats:
- The 1.1 GB figure aligns with a 128 kbps encoding for 20 hours, using standard 1,024-based gigabyte conversion.
- If the audio is encoded at a higher bitrate (e.g., 192 kbps or 256 kbps), the total would be proportionally larger (approximately 1.7 GB or 2.3 GB respectively).
- Real-world factors that can shift this estimate include MP3 encoder overhead, metadata, stereo vs. mono channels, and any padding or variable bitrate settings.

Common pitfalls to avoid:
- Confusing kilobits with kilobytes: always divide by 8 when converting to bytes.
- Forgetting the 1,024-based definition of a gigabyte versus a decimal gigabyte (GB, not GB1000).
- Assuming a bitrate of 44.1 kHz PCM WAV data would dramatically overestimate size; MP3 is lossy and compresses data.

In absence of explicit options, this analysis shows how you arrive at roughly 1.1 GB for 20 hours of MP3 at 128 kbps, with sensitivity notes for other common bitrates.

I&C SCI 10 LEC A: HOW ... Lecture 4: Storage Space

Your ghost hunting group is recording the sound inside a haunted UCI classroom for 20 hours as MP3 audio files. About how much data will that be, expressed in GB?

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