5 Data Visualization 5.7 Histogram (2024)

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The histogram is a popular graphing tool. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data in a convenient form. It is also useful when dealing with large data sets (greater than 100observations). It can help detect any unusual observations (outliers) or any gaps in the data.

A histogram divides up the range of possible values in a data set into classes or groups. For each group, a rectangle is constructed with a base length equal to the range of values in that specific group and a length equal to the number of observations falling into that group. A histogram has an appearance similar to a vertical bar chart, but there are no gaps between the bars. Generally, a histogram will have bars of equal width. Chart 5.7.1 is an example of a histogram that shows the distribution of salary, a continuous variable, of the employees of a corporation.

5 Data Visualization 5.7 Histogram (1)

Data table for Chart 5.7.1 
Data table for Chart 5.7.1
Table summary
This table displays the results of Data table for Chart 5.7.1. The information is grouped by Salary (in thousands of $) (appearing as row headers), Number of employees (appearing as column headers).
Salary (in thousands of $) Number of employees
0–10 50
11–20 300
21–30 250
31–40 400
41–50 550
51–60 433
61–70 266
71–80 350
81–90 100
91+ 20

The following table presents the differences between a histogram and vertical bar graph.



Table 5.7.1
Differences between bar chart and histogram
Table summary
This table displays the results of Differences between bar chart and histogram. The information is grouped by Comparison terms (appearing as row headers), Bar chart and Histogram (appearing as column headers).
Comparison terms Bar chart Histogram
Usage To compare different categories of data. To display the distribution of a variable.
Type of variable Categorical variables Numeric variables
Rendering Each data point is rendered as a separate bar. The data points are grouped and rendered based on the bin value. The entire range of data values is divided into a series of non-overlapping intervals.
Space between bars Can have space. No space.
Reordering bars Can be reordered. Cannot be reordered.


Table of contents

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5 Data Visualization
        5.7 Histogram (2024)

FAQs

How much data do you need for a histogram? ›

A histogram works best when the sample size is at least 20. If the sample size is too small, each bar on the histogram may not contain enough data points to accurately show the distribution of the data.

How many bars should a histogram have if there are 100 observations in a data set? ›

100 data points = 10 bars.

What data is best for a histogram? ›

Histograms work best when displaying continuous, numerical data. If the user wants to analyze the average number in a group of measurements, a histogram can give a viewer a grasp of what to generally expect in a process or system. A restaurant that wants to display its busiest hours online might use a histogram.

What is the minimum number of observations for a histogram? ›

Constructing a histogram for a continuous data set involves:

Typically choose this to be 10-20, but if there is a small dataset, choose this smaller. A rule of thumb might be that the number of observations divided by the number of classes should be at least 4.

What level of measurement is needed for a histogram? ›

In order to use a histogram, we simply require a variable that takes continuous numeric values. This means that the differences between values are consistent regardless of their absolute values.

What is the purpose of a histogram in data visualization? ›

A histogram is used to check the shape of the data distribution. Used to check whether the process changes from one period to another. Used to determine whether the output is different when it involves two or more processes. Used to analyse whether the given process meets the customer requirements.

How to calculate a histogram? ›

To draw a histogram we need to find the frequency density of each class interval. The frequency density (D) of a class interval is equal to the frequency (F) divided by the class width. ( W ) .

What does a normal distribution histogram look like? ›

A variable that is normally distributed has a histogram (or "density function") that is bell-shaped, with only one peak, and is symmetric around the mean. The terms kurtosis ("peakedness" or "heaviness of tails") and skewness (asymmetry around the mean) are often used to describe departures from normality.

How do you tell if a histogram has a large mean? ›

Here are some tips for connecting the shape of a histogram with the mean and median:
  1. If the histogram is skewed right, the mean is greater than the median. ...
  2. If the histogram is close to symmetric, then the mean and median are close to each other. ...
  3. If the histogram is skewed left, the mean is less than the median.
Jul 12, 2021

What is the best number of intervals for a histogram? ›

For histograms, we usually want to have from 5 to 20 intervals.

What is the typical value in a histogram? ›

In practice, for skewed distributions, the most commonly reported "typical value" is the mean; the next most common is the median; the least common is the mode.

When to not use a histogram? ›

  1. It depends (too much) on the number of bins.
  2. It depends (too much) on variable's maximum and minimum.
  3. It doesn't allow to detect relevant values.
  4. It doesn't allow to discern continuous from discrete variables.
  5. It makes it hard to compare distributions.
  6. It's hard to make if you don't have all the data in memory.
Jan 24, 2021

What does a good histogram look like? ›

A properly exposed histogram may appear as a curve with a single peak, or a collection of peaks and valleys. Either type of curve is normal. You want to pay close attention to the edges of the histogram.

Why use a histogram instead of a bar graph? ›

Although histograms and bar charts use a column-based display, they serve different purposes. A bar graph is used to compare discrete or categorical variables in a graphical format whereas a histogram depicts the frequency distribution of variables in a dataset.

What is the rule for making histogram? ›

Begin by marking the class intervals on the X-axis and frequencies on the Y-axis. The scales for both the axes have to be the same. Class intervals need to be exclusive. Draw rectangles with bases as class intervals and corresponding frequencies as heights.

What is the range of the data in a histogram? ›

A histogram divides up the range of possible values in a data set into classes or groups. For each group, a rectangle is constructed with a base length equal to the range of values in that specific group and a length equal to the number of observations falling into that group.

How many minimum variables do you need to create a histogram? ›

Histogram versus Bar Chart
Histogram
VariablesAt least 2 quantitative variables
BarsBars have no space between them
IntervalBar width represent intervals
OrderOrder of bars do matter, have to be arranged in order of intervals
1 more row
Jan 27, 2024

What is a good bin size for histogram? ›

Choose between 5 and 20 bins. The larger the data set, the more likely you'll want a large number of bins. For example, a set of 12 data pieces might warrant 5 bins but a set of 1000 numbers will probably be more useful with 20 bins.

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