Shapes of Distributions

Front

What is a symmetric distribution?

Back

A symmetric distribution is one where the left and right sides of the distribution are mirror images of each other. The mean, median, and mode are all equal.

Front

What does it mean for a distribution to be skewed left?

Back

A left-skewed distribution has a longer tail on the left side. Most of the data points are concentrated on the right, and the mean is less than the median.

Front

What does it mean for a distribution to be skewed right?

Back

A right-skewed distribution has a longer tail on the right side. Most of the data points are concentrated on the left, and the mean is greater than the median.

Front

What is the mean in a distribution?

Back

The mean is the average of all data points in a distribution, calculated by adding all values and dividing by the number of values.

Front

What is the median in a distribution?

Back

The median is the middle value in a distribution when the data points are arranged in order. If there is an even number of values, the median is the average of the two middle values.

Front

What is the mode in a distribution?

Back

The mode is the value that appears most frequently in a data set. A distribution can have one mode, more than one mode, or no mode at all.

Front

How can you identify a skewed distribution?

Back

You can identify a skewed distribution by observing the direction of the tail. If the tail is longer on the left, it is skewed left; if longer on the right, it is skewed right.

Front

What is a normal distribution?

Back

A normal distribution is a symmetric, bell-shaped distribution where most of the data points cluster around the mean, and the probabilities for values further away from the mean taper off equally in both directions.

Front

What is the range in a distribution?

Back

The range is the difference between the highest and lowest values in a data set, indicating the spread of the data.

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).