Understanding Skewness in Data

The video tutorial explains the concepts of data symmetry and skewness. It describes how symmetric data is evenly distributed around the center, while skewed data has a concentration of values on one side. The tutorial further explores how skewness affects the mean and median, particularly in right-skewed datasets where the mean is greater than the median. The video also contrasts this with left-skewed data, where the median is greater than the mean.

What does symmetric data typically look like?

• Data is concentrated on the right.

• Data is evenly spread around the center.

• Data is randomly distributed.

• Data is concentrated on the left.

Which of the following is true for symmetric data?

• Mean is greater than median.

• Mean is less than median.

• Mean is equal to median.

• Mean is unrelated to median.

In a right-skewed data set, where is the majority of the data located?

• On the left side.

• On the right side.

• Evenly distributed.

• In the center.

What does it mean if data is skewed to the right?

• Data is random.

• Data is concentrated on the right.

• Data is evenly distributed.

• Data is concentrated on the left.

How does left-skewed data differ from right-skewed data?

• Left-skewed data is random.

• Left-skewed data is evenly distributed.

• Left-skewed data has more data on the left.

• Left-skewed data has more data on the right.

What happens to the mean in a right-skewed data set?

• The mean is greater than the median.

• The mean is less than the median.

• The mean is equal to the median.

• The mean is not affected.

In right-skewed data, why is the mean greater than the median?

• Because the large values pull the mean to the right.

• Because the median is always larger.

• Because the data is evenly distributed.

• Because the small values pull the mean to the left.

What is the relationship between mean and median in left-skewed data?

• The mean is greater than the median.

• The mean is equal to the median.

• The mean is less than the median.

• The mean is not related to the median.

In left-skewed data, what causes the mean to be less than the median?

• The presence of large values on the right.

• The presence of small values on the left.

• The data being random.

• The data being evenly distributed.

How does skewness affect the mean and median?

• Left skewness increases the mean relative to the median.

• Skewness does not affect them.

• Right skewness increases the mean relative to the median.

• Skewness makes them equal.