If the data is not following a symmetrical distribution, then the relationship between mean, median and mode is:

When data is not symmetrical (meaning it's skewed), there's a specific relationship that connects mean, median, and mode.

In symmetrical data, Mean = Median = Mode. However, the question specifies the data is not symmetrical, so this relationship does not apply.

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For moderately skewed distributions, the relationship is:

Mode = 3 Median - 2 Mean

This is known as Pearson's empirical relationship.

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Consider test scores: 10, 20, 30, 40, 100 (skewed right due to the outlier 100)

Mean = $\frac{10+20+30+40+100}{5}$

Mean = $\frac{200}{5}$

Mean = $40$

Median = $30$ (middle value)

Using the formula:

Mode = $3(30) - 2(40)$

Mode = $90 - 80$

Mode = $10$

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The other options are incorrect:

Option 1: Median = 3 Mode - 2 Mean has the wrong arrangement

Option 2: Mode = 2 Median - 3 Mean has incorrect coefficients

Option 3: Mode = Median = Mean only applies to symmetrical distributions

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Therefore, the correct relationship is Mode = 3 Median - 2 Mean.