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Question
Construct a cumulative frequency distribution table from the frequency table given below:
| Class Interval | Frequency |
| 0 -8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
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Solution
The cumulative frequency distribution table is
| C.I | f | c.f |
| 0 - 8 | 9 | 9 |
| 8 - 16 | 13 | 22 |
| 16 - 24 | 12 | 34 |
| 24 - 32 | 7 | 41 |
| 32 - 40 | 15 | 56 |
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RELATED QUESTIONS
For class interval 20-25 write the lower class limit and the upper class limit.
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In a village, the milk was collected from 50 milkmen at a collection center in litres as given below:
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Fill in the blank in the following table:
| Class interval | Frequency | Cumulative Frequency |
| 25 - 34 | ...... | 15 |
| 35 - 44 | ...... | 28 |
| 45 - 54 | 21 | ...... |
| 55 - 64 | 16 | ...... |
| 65 - 74 | ...... | 73 |
| 75 - 84 | 12 | ...... |
Construct a frequency table from the following data:
| Marks | No. of students |
| less than 10 | 6 |
| less than 20 | 15 |
| less than 30 | 30 |
| less than 40 | 39 |
| less than 50 | 53 |
| less than 60 | 70 |
Construct a cumulative frequency distribution table from the frequency table given below:
( i )
| Class Interval | Frequency |
| 0 - 8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
( ii )
| Class Interval | Frequency |
| 1 - 10 | 12 |
| 11 - 20 | 18 |
| 21 - 30 | 23 |
| 31 - 40 | 15 |
| 41 - 50 | 10 |
The marks of 24 candidates in the subject mathematics are given below:
| 45 | 48 | 15 | 23 | 30 | 35 | 40 | 11 |
| 29 | 0 | 3 | 12 | 48 | 50 | 18 | 30 |
| 15 | 30 | 11 | 42 | 23 | 2 | 3 | 44 |
The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......
Construct a cumulative frequency distribution table from the frequency table given below:
| Class Interval | Frequency |
| 1 - 10 | 12 |
| 11 - 20 | 18 |
| 21 - 30 | 23 |
| 31 - 40 | 15 |
| 41 - 50 | 10 |
In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2
Observe the given frequency table to answer the following:
| Class Interval | 20 - 24 | 25 29 | 30 - 34 | 35 - 39 | 40 - 44 | 45 - 49 |
| Frequency | 6 | 12 | 10 | 15 | 9 | 2 |
a. The true class limits of the fifth class.
b. The size of the second class.
c. The class boundaries of the fourth class.
d. The upper and lower limits of the sixth class.
e. The class mark of the third class.
The range of the data 200, 15, 20, 103, 3, 196, is _____________
Inclusive series is a _________ series
Size of the class 150 – 175 is ______.
In the class interval 26 – 33, 33 is known as ______.
Using the following frequency table.
| Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |
| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
9 students got full marks.
Following are the number of members in 25 families of a village:
6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.
Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.
