# Reading Histograms

## Grade 6 Math Worksheets

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.

Learn here How to Read Box and Whisker Plots

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#### Why do you use a histogram?

Histogram is an illustrative way to represent particular data. It is shown in vertical bar formation for a particular input and with respect to 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.

*Example 1: ***The points scored by John in his school test was marked in 10 for subjects Math, English, Science, French as 5, 6, 8, 7 respectively. Represent the above data in a histogram.**

*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.
- Least number of songs sung.
- of songs 14 singers sang.
- How many singers sang 3-4 songs?

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 least number of song sung.
- 5-6 songs were sung by 14 singers.
- 11 singers sang 3-4 songs.

** Example 3: **Following is the histogram view of a 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?

*Solution:*

- The product which is sold largely is kitchen appliances.
- Between 0-200 people buy groceries online.

- 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 does 4 students spend on gadgets?

c.Number of students spending maximum number of hours.

- 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 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

- 3 students
- 10 – 15 hours
- 9 students

- Histogram made by Sheila will look like:

b.20 books were sold between $105 and $150.

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