Understanding Histograms: A 6th Grade Worksheet
A histogram is a graphical representation of data that uses bars to show the frequency or distribution of different values. It’s similar to a bar chart, but the bars in a histogram touch each other to indicate that the data is continuous.
Reading Histograms
To read a histogram, you need to understand the following:
- The x-axis (horizontal axis) shows the different values or categories of data.
- The y-axis (vertical axis) shows the frequency or number of times each value occurs.
- The bars in the histogram represent the frequency of each value. The taller the bar, the more frequent the value.
Interpreting Histograms
When interpreting histograms, look for the following:
- Mode: The value with the highest frequency is called the mode.
- Median: The middle value of the data set is called the median.
- Range: The difference between the highest and lowest values is called the range.
- Skewness: If the histogram is not symmetrical, it may be skewed to one side.
Example Histogram
Let’s take a look at an example histogram:
| Score | Frequency |
|---|---|
| 60-69 | 5 |
| 70-79 | 10 |
| 80-89 | 15 |
| 90-99 | 8 |
| 100+ | 2 |
📝 Note: This is a sample histogram showing the distribution of test scores.
From this histogram, we can see that:
- The mode is 80-89, since it has the highest frequency.
- The median is around 80, since it’s the middle value.
- The range is 40, since the highest value is 100+ and the lowest value is 60-69.
- The histogram is slightly skewed to the right, since the bars are not symmetrical.
Creating Histograms
To create a histogram, follow these steps:
- Collect data on a continuous variable, such as test scores or heights.
- Divide the data into equal intervals, called bins.
- Count the frequency of each bin.
- Draw a bar chart with the bins on the x-axis and the frequency on the y-axis.
📝 Note: Make sure to label the axes and title the histogram!
Practice Time!
Create a histogram using the following data:
| Height (inches) | Frequency |
|---|---|
| 50-59 | 3 |
| 60-69 | 5 |
| 70-79 | 8 |
| 80-89 | 12 |
| 90-99 | 6 |
Use the steps above to create a histogram and answer the following questions:
- What is the mode?
- What is the median?
- What is the range?
- Is the histogram skewed?
Review Time!
Take a look at the histogram below:
| Age | Frequency |
|---|---|
| 10-14 | 8 |
| 15-19 | 12 |
| 20-24 | 15 |
| 25-29 | 10 |
| 30+ | 5 |
Answer the following questions:
- What is the mode?
- What is the median?
- What is the range?
- Is the histogram skewed?
What is a histogram?
+A histogram is a graphical representation of data that uses bars to show the frequency or distribution of different values.
How do I read a histogram?
+To read a histogram, look at the x-axis (horizontal axis) for the different values or categories of data, and the y-axis (vertical axis) for the frequency or number of times each value occurs.
What is the mode in a histogram?
+The mode is the value with the highest frequency in the histogram.
Related Terms:
- Histogram worksheet 6th grade PDF
- Histogram worksheet with answers pdf
- Histogram worksheet PDF
- Free printable histogram worksheets
- Interpreting histograms worksheet
- Drawing histograms worksheet
