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प्रश्न
In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena'. The record of trees planted by each student is given below:
3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.
Prepare a frequency distribution table of the data.
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उत्तर
The record of trees planted by each student is given below:
3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.
The frequency distribution table of the given data is as follows:
| Number of trees planted | Tally marks | Number of students/Frequency |
| 3 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 10 |
| 4 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|` | 11 |
| 5 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|` | 11 |
| 6 | `cancel(bb|bb|bb|bb|)` `bb||` | 7 |
| 7 | `cancel(bb|bb|bb|bb|)` `bb|` | 6 |
| Total | N = 45 |
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संबंधित प्रश्न
For class interval 20-25 write the lower class limit and the upper class limit.
If class mark is 10 and class width is 6 then find the class.
Complete the Following Table.
| Classes (age) | Tally marks | Frequency (No. of students) |
| 12-13 | `cancel(bb|bb|bb|bb|)` | `square` |
| 13-14 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|bb|bb|bb|` | `square` |
| 14-15 | `square` | `square` |
| 15-16 | `bb|bb|bb|bb|` | `square` |
| N = ∑f = 35 |
In a village, the milk was collected from 50 milkmen at a collection center in litres as given below:
27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.
By taking suitable classes, prepare grouped frequency distribution table.
If the classes are 0-10, 10-20, 20-30... then in which class should the observation 10 be included?
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 | ...... |
Given below are the marks obtained by 30 students in an examination:
| 08 | 17 | 33 | 41 | 47 | 23 | 20 | 34 |
| 09 | 18 | 42 | 14 | 30 | 19 | 29 | 11 |
| 36 | 48 | 40 | 24 | 22 | 02 | 16 | 21 |
| 15 | 32 | 47 | 44 | 33 | 01 |
Taking class intervals 1-10, 11-20, ....., 41-50; make a frequency table for the above distribution.
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 |
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 |
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.
If a class size is 10 and range is 80 then the number of classes are ___________
Inclusive series is a continuous series
The difference between the upper and lower limit of a class interval is called the ______ of the class interval.
The class size of the interval 80 – 85 is ______.
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.
The class size of the class interval 60 – 68 is 8.
Complete the following table:
| Weights (in kg.) |
Tally Marks | Frequency (Number of persons) |
| 40 – 50 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|` | |
| 50 – 60 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|bb|bb|` | |
| 60 – 70 | `\cancel(bb|bb|bb|bb|) bb|` | |
| 70 – 80 | `bb|bb|` | |
| 80 – 90 | `bb|` |
Find the total number of persons whose weights are given in the above table.
