Skewed Distributions

Front

What is a skewed distribution?

Back

A skewed distribution is a probability distribution that is not symmetrical, meaning that one tail is longer or fatter than the other.

Front

What does it mean if a distribution is skewed to the right?

Back

A distribution is skewed to the right when the right tail (higher values) is longer or fatter than the left tail, indicating that most data points are concentrated on the left.

Front

What does it mean if a distribution is skewed to the left?

Back

A distribution is skewed to the left when the left tail (lower values) is longer or fatter than the right tail, indicating that most data points are concentrated on the right.

Front

What is the median in a skewed distribution?

Back

The median is the middle value of a dataset and is less affected by extreme values, making it a better measure of central tendency in skewed distributions than the mean.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data.

Front

How does the mean behave in a right-skewed distribution?

Back

In a right-skewed distribution, the mean is typically greater than the median due to the influence of higher values in the tail.

Front

How does the mean behave in a left-skewed distribution?

Back

In a left-skewed distribution, the mean is typically less than the median due to the influence of lower values in the tail.

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins).

Front

What does a right-skewed histogram look like?

Back

A right-skewed histogram has a longer tail on the right side, with most data concentrated on the left.

Front

What does a left-skewed histogram look like?

Back

A left-skewed histogram has a longer tail on the left side, with most data concentrated on the right.