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प्रश्न
The data is given for 62 students in a certain class regarding their mathematics marks out of 100. Take the classes 0-10, 10-20.. and prepare less than type cumulative frequency table and answer the following questions.
55, 60, 81, 90, 45, 65, 45, 52, 30, 85, 20, 10, 75, 95, 09, 20, 25, 39, 45, 50, 78, 70, 46, 64, 42, 58, 31, 82, 27, 11, 78, 97, 07, 22, 27, 36, 35, 40, 75, 80, 47, 69, 48, 59, 32, 83, 23, 17, 77, 45, 05, 23, 37, 38, 35, 25, 46, 57, 68, 45, 47, 49.
- How many students obtained less than 40 marks?
- How many students obtained less than 10 marks?
- How many students obtained less than 60 marks?
- Find the cumulative frequency of the class 50-60.
उत्तर
The data is given for 62 students in a certain class regarding their mathematics marks out of 100.
55, 60, 81, 90, 45, 65, 45, 52, 30, 85, 20, 10, 75, 95, 09, 20, 25, 39, 45, 50, 78, 70, 46, 64, 42, 58, 31, 82, 27, 11, 78, 97, 07, 22, 27, 36, 35, 40, 75, 80, 47, 69, 48, 59, 32, 83, 23, 17, 77, 45, 05, 23, 37, 38, 35, 25, 46, 57, 68, 45, 47, 49.
The frequency distribution table for the given data is as follows:
| Class (Marks obtained) |
Tally marks | Frequency (No. of students) |
| 0 - 10 | `bb|bb|bb|` | 3 |
| 10 - 20 | `bb|bb|bb|` | 3 |
| 20 - 30 | `cancel(bb|bb|bb|bb|bb|)` `bb|bb|bb|bb|` | 9 |
| 30 - 40 | `cancel(bb|bb|bb|bb|bb|)` `bb|bb|bb|bb|` | 9 |
| 40 - 50 | `cancel(bb|bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|bb|)` `bb|bb|bb|` | 13 |
| 50 - 60 | `cancel(bb|bb|bb|bb|bb|)` `bb|` | 6 |
| 60 - 70 | `cancel(bb|bb|bb|bb|bb|)` | 5 |
| 70 - 80 | `cancel(bb|bb|bb|bb|bb|)` `bb|` | 6 |
| 80 - 90 | `cancel(bb|bb|bb|bb|bb|)` | 5 |
| 90 - 100 | `bb|bb|bb|` | 3 |
| Total N = 62 |
The cumulative frequency table of less than type for the given data is as follows:
| Class (Marks obtained) |
Frequency (No. of students) |
Less than type cumulative frequency |
| 0 - 10 | 3 | 3 |
| 10 - 20 | 3 | 3 + 3 = 6 |
| 20 - 30 | 9 | 6 + 9 = 15 |
| 30 - 40 | 9 | 15 + 9 = 24 |
| 40 - 50 | 13 | 24 + 13 = 37 |
| 50 - 60 | 6 | 37 + 6 = 43 |
| 60 - 70 | 5 | 43 + 5 = 48 |
| 70 - 80 | 6 | 48 + 6 = 54 |
| 80 - 90 | 5 | 54 + 5 = 59 |
| 90 - 100 | 3 | 59 + 3 = 62 |
| Total N = 62 |
- The number of students who obtained less than 40 marks is 24.
- The number of students who obtained less than 10 marks is 3.
- The number of students who obtained less than 60 marks is 43.
- The cumulative frequency of the class 50-60 is 43.
APPEARS IN
संबंधित प्रश्न
Complete the following cumulative frequency table:
| Class (Height in cm) |
Frequency (No. of students) |
Less than type frequency |
| 150 - 153 | 05 | 05 |
| 153 - 156 | 07 | 05 + `square` = `square` |
| 156 - 159 | 15 | `square` + 15 = `square` |
| 159 - 162 | 10 | `square` + `square` = 37 |
| 162 - 165 | 05 | 37 + 5 = 42 |
| 165 - 168 | 03 | `square` + `square` = 45 |
| Total N = 45 |
Complete the following Cumulative Frequency Table:
| Class (Monthly income in Rs.) |
Frequency |
More than or equal to type cumulative frequency |
| 1000 - 5000 | 45 | ______ |
| 5000 - 10000 | 19 | ______ |
| 10000 - 15000 | 16 | ______ |
| 15000 - 20000 | 02 | ______ |
| 20000 - 25000 | 05 | ______ |
| Total (N) = 87 |
From following table, what is the cumulative frequency of less than type for the class 30-40?
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 7 | 3 | 12 | 13 | 2 |
There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47
By taking classes 30-40, 40-50, .... prepare the less than type cumulative frequency table
- How many students, have scored marks less than 80?
- How many students have scored marks less than 40?
- How many students have scored marks less than 60?
Prepare a cumulative frequency distribution table of the marks scored by 60 students in a test are given below:
| Marks | No. of students |
| 0 - 10 | 4 |
| 10 20 | 15 |
| 20 - 30 | 21 |
| 30 - 40 | 12 |
| 40 50 | 8 |
The table given below shows the ages of patients being treated in a hospital. Construct a cumulative frequency distribution table for the same:
| Age | No. of patients |
| 10 - 20 | 90 |
| 20 - 30 | 50 |
| 30 - 40 | 60 |
| 40 - 50 | 80 |
| 50 - 60 | 50 |
| 60 - 70 | 30 |
The electricity bills of 45 houses in a particular locality are given below. Tabulate the given data and present it as a cumulative frequency table with one of the classes being 300 - 450:
784, 567, 890, 231, 150, 458, 356, 762, 386, 824, 525, 663, 724, 841, 315, 641, 156, 715, 156, 317, 814, 547, 879, 456, 463, 664, 175, 584, 515, 487, 871, 511, 522, 454, 247, 819, 412, 326, 445, 311, 321, 545, 344, 266, 351.
From the cumulative frequency distribution given below, construct a frequency distribution table:
| Marks | c.f. |
| Less than 10 | 10 |
| Less than 20 | 18 |
| Less than 30 | 32 |
| Less than 40 | 45 |
| Less than 50 | 50 |
Construct a frequency distribution table from the given cumulative frequency distribution showing the weights of 750 students in a school:
| Weight (in kg) | c.f. |
| More Than 25 | 750 |
| More Than 30 | 640 |
| More Than 35 | 615 |
| More Than 40 | 485 |
| More Than 45 | 370 |
| More Than 50 | 220 |
| More Than 55 | 124 |
| More Than 60 | 49 |
| More Than 65 | 24 |
| More Than 70 | 0 |
a. Find the number of students whose weight lie in the interval 40-45
b. Find the interval which has the most number of students.
There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47
By taking classes 30-40, 40-50 ... prepare equal to or more than type cumulative frequency table and answer the following questions based on it.
- How many students have scored marks 70 or more than 70?
- How many students have scored marks 30 or more than 30?
