If for a sample data

$\text{ Mean}<\text{Median}<\text{Mode}$ then the distribution is

The correct option is skewed to the left.

To determine the type of distribution, we examine the relative positions of the mean, median, and mode:

1. Symmetric Distribution:

In a perfectly symmetric distribution (such as a normal distribution), the mean, median, and mode are all equal:

$\text{Mean}=\text{Median}=\text{Mode}$

2. Right-Skewed (Positively Skewed) Distribution:

In a distribution that is skewed to the right, the long tail extends towards higher values. Extreme positive values pull the mean upwards to the right, leading to:

$\text{Mean}>\text{Median}>\text{Mode}$

3. Left-Skewed (Negatively Skewed) Distribution:

In a distribution that is skewed to the left, the long tail extends towards lower values. Extreme lower values pull the mean downwards to the left, resulting in:

$\text{Mean}<\text{Median}<\text{Mode}$

Since the given condition is $\text{Mean}<\text{Median}<\text{Mode}$, the sample distribution is skewed to the left (negatively skewed).