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Question
The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:
(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?
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Solution
i) The highest rectangle corresponds to the highest number of literate females, which is in the interval 15-20 years.
(ii) The class intervals are 10-15, 15-20, 20-25,25-30,30-35, 35-40. Hence, the class width is 5.
(iii) The lowest rectangle corresponds to the lowest frequency, which is 320.
(iv) The class mark is the mid-point of the class interval.
Hence, the class mark of each class is as follows:
| Interval | Class Mark |
| 10-15 | 12.5 |
| 15-20 | 17.5 |
| 20-25 | 22.5 |
| 25-30 | 27.5 |
| 30-35 | 32.5 |
| 35-40 | 37.5 |
The lowest rectangle corresponds to the least number of literate females, which is in the interval 10-15 years.
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- Write the classes assuming all the classes are of equal width.
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- In which age group are literate females the least?
- In which age group is the number of literate females the highest?
