Histogram

A histogram is a graphical representation of the distribution of numerical data. It consists of a series of vertical bars, where each bar represents a range of values, and the height of the bar corresponds to the frequency of values within that range.

Key Concepts

• Frequency: The number of data points that fall within a specific range or bin.
• Bins: The intervals into which the data is grouped for display on the histogram.
• X-axis: Represents the range of values or bins.
• Y-axis: Represents the frequency of values within each bin.

Creating a Histogram

To create a histogram, follow these steps:

1. Determine the range of the data and decide on the number of bins.
2. Create the intervals (bins) to group the data.
3. Tally the frequency of data points within each bin.
4. Draw the X-axis and Y-axis, labeling the bins and frequencies.
5. Draw a bar for each bin, with the height of the bar corresponding to the frequency of values in that bin.

Example

Suppose we have the following data representing the scores of a class:

Study Guide

Key points to remember about histograms:

1. Understand the concept of frequency and how it is represented in a histogram.
2. Know how to create intervals (bins) and tally the frequencies for each bin.
3. Be able to interpret a histogram and draw conclusions about the data distribution.