Reading Histograms
Grade 6 Math Worksheets
What is a Histogram?
A histogram is a graphical representation of data that is organized into intervals, or bins, along with the frequency or count of observations falling into each bin.
It provides a visual summary of the distribution of a dataset, showing the patterns and characteristics of the data.
Using a histogram worksheet provides practical experience in data analysis, visualization, and interpretation. It strengthens your data literacy skills and empowers you to make better-informed decisions based on the insights derived from histograms.
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Why do you use a Histogram?
A histogram is an illustrative way to represent particular data. It is shown in vertical bar formation for a particular input against the number of continuous data given, which is said to be the frequency in each category.
A histogram is a single block graph of rectangles where the area of each rectangle will be proportional to the frequency.
![reading histograms](jpg/histogram2.jpg)
Solved Examples
Example 1
The points scored by John in his school test were marked in 10 for subjects Math, English, Science, and French as 5, 6, 8, and 7 respectively. Represent the above data in a histogram.
Solution
![reading histograms](https://www.etutorworld.com/wp-content/uploads/2018/10/histogram3-300x196.jpg)
Example 2
The following histogram shows the number of singers who sang music albums in a year. Find the following:
- Highest number of songs sung in a year.
- The least number of songs sung.
- Number of songs 14 singers sang.
- How many singers sang 3-4 songs?
![reading histograms](https://www.etutorworld.com/wp-content/uploads/2018/10/histogram4-300x266.jpg)
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In such a pictorial representation it is easy to identify and find out, calculate a specific detail instead of analyzing the whole data.
Solution:
- Grey colored bar on the graph states that 6 is the highest number of songs sung.
- Purple colored bar denotes 1 is the least number of songs sung.
- 5-6 songs were sung by 14 singers.
- 11 singers sang 3-4 songs.
Example 3
Following is the histogram view of data showing the list of people who order home utilities online.
Basic items sold online are furniture, kitchen appliances, mobile phones, and groceries.
- Find the product that is sold largely.
- How many people buy groceries online?
![reading histograms](https://www.etutorworld.com/wp-content/uploads/2018/10/histogram5-300x176.jpg)
Solution
- The product which is sold largely is kitchen appliances.
- Between 0-200 people buy groceries online.
Practice Questions
Question 1
Use the histogram to identify how long a student spends time on gadgets on school off days.
a. How many students spend only 5-10 hours?
b. How long do 4 students spend on gadgets?
c. Number of students spending the maximum number of hours.
Question 2
Sheila collected the details of no. of novels sold in a book fair and made a histogram of the data which showed the no. of books sold between 20-200 dollars.
a. Draw a histogram if the following is the data collected.
No. of books (novels) | Amount (in Dollars) |
20 | 55 |
30 | 80 |
40 | 75 |
50 | 150 |
60 | 30 |
70 | 105 |
80 | 125 |
b. How many books were sold between $150 and $105?
Answer key
1.
a. 3 students
b. 10 – 15 hours
c. 9 students
2. The histogram made by Sheila will look like this:
b. 20 books were sold between $105 and $150.
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