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प्रश्न
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 |
उत्तर
The frequency table is
| Marks | No. of students | C. I | f |
| less than 10 | 6 | 0 - 10 | 6 |
| less than 20 | 15 | 10 - 20 | 9 |
| less than 30 | 30 | 20 - 30 | 15 |
| less than 40 | 39 | 30 - 40 | 9 |
| less than 50 | 53 | 40 - 50 | 14 |
| less than 60 | 70 | 50 - 60 | 17 |
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संबंधित प्रश्न
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 ‘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.
The value of π upto 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.
In the table given below, class-mark and frequencies are given. Construct the frequency table taking inclusive and exclusive classes.
| Class width | Frequency |
| 22 | 6 |
| 24 | 7 |
| 26 | 13 |
| 28 | 4 |
In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass boxes in centimeters. The data collected was as follows.
16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10.
By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.
38 people donated to an organisation working for differently abled persons. The amount in rupees were as follows:
101, 500, 401, 201, 301, 160, 210, 125, 175, 190, 450, 151, 101, 351, 251, 451, 151, 260, 360, 410, 150, 125, 161, 195, 351, 170, 225, 260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100.
- By taking classes 100-149, 150-199, 200-249... prepare grouped frequency distribution table.
- From the table, find the number of people who donated rupees 350 or more.
The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?
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, .......
The range of the data 200, 15, 20, 103, 3, 196, is _____________
Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.
328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200
In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series
Tally marks are used to find ______.
Upper limit of class interval 75 – 85 is ______.
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 |
The frequency of less than 8 marks is 29.
The weights (in kg) of 30 students of a class are:
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.
Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.
- Which class has the least frequency?
- Which class has the maximum frequency?
Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
- How many classes are there in the frequency distribution table?
- Which weight group has the highest frequency?
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.
