Histograms and Data Distribution

Front

What is a histogram?

Back

A histogram is a graphical representation of the frequency distribution of numerical data, where data is divided into equal intervals (bins) and the frequency of data points in each interval is represented by the height of bars.

Front

What does it mean if a distribution is skewed left?

Back

A left-skewed distribution has a longer tail on the left side, indicating that most data points are concentrated on the right.

Front

What does it mean if a distribution is skewed right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that most data points are concentrated on the left.

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.

Front

What is bimodal distribution?

Back

A bimodal distribution has two different modes or peaks, indicating that there are two prevalent values in the data set.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated by dividing the frequency of a specific class by the total number of data points.

Front

What is the purpose of class boundaries in a histogram?

Back

Class boundaries are used to define the intervals for the data in a histogram, ensuring that there are no gaps between the classes.

Front

How do you determine the number of classes in a histogram?

Back

The number of classes can be determined using Sturges' formula: k = 1 + 3.322 log(n), where k is the number of classes and n is the number of data points.

Front

What is the difference between frequency and relative frequency?

Back

Frequency is the count of occurrences of a particular value or range in a dataset, while relative frequency is the proportion of the total that this frequency represents.

Front

What is the lower class boundary?

Back

The lower class boundary is the smallest value that can belong to a class interval, often calculated by subtracting 0.5 from the lower limit of the class.