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Data Compression

Measuring compression: ratio and saving percentage

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  • Component 1

Overview

Formula for compression ratio, formula for saving percentage and compression time.

What you need to know

Answer each one before you reveal it.

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Numbers

State the formula for compression ratio.

Key term

A 200 MB file compresses to 50 MB. State the compression ratio.

Numbers

State the formula for saving percentage.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the formula for compression ratio.

    Model answer

    Compression ratio is the uncompressed size divided by the compressed size. A result of four is normally written as the ratio 4:1.

  2. 2

    A 200 MB file compresses to 50 MB. State the compression ratio.

    Model answer

    The compression ratio is 4:1, because 200 divided by 50 is 4.

  3. 3

    State the formula for saving percentage.

    Model answer

    Saving percentage is the space saved divided by the original size, multiplied by 100. The space saved is the original size minus the compressed size.

  4. 4

    A 200 MB file compresses to 50 MB. State the saving percentage.

    Model answer

    The saving is 150 MB out of 200 MB, which is 75%.

  5. 5

    A 80 MB file compresses to 20 MB. Give both the ratio and the saving percentage.

    Model answer

    The compression ratio is 4:1. The saving is 60 MB out of 80 MB, which is 75%.

  6. 6

    A file compresses with a ratio of 5:1. State the saving percentage.

    Model answer

    A ratio of 5:1 leaves one fifth of the file, so four fifths are saved. The saving percentage is 80%.

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