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Why it is here
Makes denominators explicit when readers compare percentages from groups of different sizes.
Source and access
Open the original institutional or discovery page ↗
1024-byte range from the officially listed MP4, HTTP 206, matching content range and MP4 header. No full playback or decoding; YouTube availability is unknown.
- Access evidence
- accessible · official media range
- Checked
- 2026-11-07
- Full playback observed
- No
- Uploaded
- Unknown
- Originally recorded
- Unknown
- Language
- Unknown
- Level basis
- Editorial judgement, not an official difficulty label. The checked content uses counts, elementary proportions and introductory R commands.
- Transcript
- Read at source ↗
Provenance and reuse
NPTEL — National Programme on Technology Enhanced Learning; original source https://nptel.ac.in/courses/111104120. Link to official source, title, attribution and original atlas annotations. Do not copy source code, rehost video, or copy full course prose into the public export.. Links, factual metadata and original navigation annotations only. No source page, transcript, image, video or restricted platform metadata is included in the reusable export.
- nptel-download-inventory-d70acff405a6a989
Official download inventory maps this course and lesson to the MP4 alternative; source title agreement recorded. Retrieved 2026-11-07.
- nptel-media-e12cb00fc51d1f56
The first 1 KiB of the official source-listed MP4 was accessible with a valid MP4 header. This is not full playback, decoding, watching, or an assurance about every byte. Retrieved 2026-11-07.
- nptel-source-67df6a8f200ae6fb
ordered lecture title and parent-course syllabus; no video viewed or transcript read Retrieved 2026-11-07.
- nptel-transcript-111104120-08
Selected excerpts only: characters 0–1400 in cached extraction; characters 1400–2800 in cached extraction; characters 16962–18362 in cached extraction; characters 32524–33924 in cached extraction. No complete transcript reading or full video viewing claimed. Retrieved 2026-11-07.