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Question
Draw histogram for the following frequency distributions:
| Class Interval | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 |
| Frequency | 24 | 16 | 09 | 15 | 20 |
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Solution
| Class Interval (Inclusive from ) |
Class Interval (Exclusive from) |
Frequency |
| 30 – 39 | 29.5 – 39.5 | 24 |
| 40 – 49 | 39.5 – 49.5 | 16 |
| 50 – 59 | 49.5 – 59.5 | 09 |
| 60 – 69 | 59.5 – 69.5 | 15 |
| 70 – 79 | 69.5 – 79.5 | 20 |
Steps of construction:
- Convert the data into exclusive form.
- Taking suitable scales, mark class intervals on x-axis and frequency on y-axis.
- Construct rectangles with class intervals as bases and corresponding frequencies as heights.
RELATED QUESTIONS
Draw histogram and frequency polygon on the same graph paper for the following frequency distribution
| Class | Frequency |
| 15-20 | 20 |
| 20-25 | 30 |
| 25-30 | 50 |
| 30-35 | 40 |
| 35-40 | 25 |
| 40-45 | 10 |
Given below is the frequency distribution of the heights of 50 students of a class:
| Class interval: | 140−145 | 145−150 | 150−155 | 155−160 | 160−165 |
| Frequency: | 8 | 12 | 18 | 10 | 5 |
Draw a histogram representing the above data.
Draw histogram and hence the frequency polygon for the following frequency distribution:
| Rainfall (in cm) | No. of years |
| 20-25 | 2 |
| 25-30 | 5 |
| 30-35 | 8 |
| 35-40 | 12 |
| 40-45 | 10 |
| 45-50 | 7 |
Distribution of height in cm of 100 people is given below:
| Class interval (cm) | Frequency |
| 145 - 155 | 3 |
| 155 - 165 | 35 |
| 165 - 175 | 25 |
| 175 - 185 | 15 |
| 185 - 195 | 20 |
| 195 - 205 | 2 |
Draw a histogram to represent the above data.
Identify the following data can be represented in a histogram?
The wickets fallen from 1 over to 50th over in a one day cricket match
In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.
The following pictorial representation of data is a histogram.
Prepare a histogram from the frequency distribution table obtained in question 93.
The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.
- Write the classes assuming all the classes are of equal width.
- What is the classes width?
- In which age group are literate females the least?
- In which age group is the number of literate females the highest?
Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis]
| Daily wages (in ₹) | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
| No. of Workers | 6 | 12 | 20 | 15 | 9 |
