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Prepare a Cumulative Frequency Distribution Table of the Marks Scored by 60 Students in a Test Are Given Below: - Mathematics

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प्रश्न

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
योग

उत्तर

Marks No. of students Cum. frequency
0 - 10 4 4
10 - 20 15 19
20 - 30 21 40
30 - 40 12 52
40 - 50 8 60
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Cumulative Frequency Table
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 22: Statistics - Exercise 22.2

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 22 Statistics
Exercise 22.2 | Q 1

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   

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 frequency distribution table and cumulative frequency table more than or equal to type.

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.

From the prepared table, answer the following questions:
  1. How many students obtained marks 40 or above 40?
  2. How many students obtained marks 90 or above 90?
  3. How many students obtained marks 60 or above 60?
  4. What is the cumulative frequency of equal to or more than type of the class 0-10?

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.

  1. How many students obtained less than 40 marks?
  2. How many students obtained less than 10 marks?
  3. How many students obtained less than 60 marks?
  4. Find the cumulative frequency of the class 50-60.

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

Using the table, answer the following questions:
  1. How many students, have scored marks less than 80?
  2. How many students have scored marks less than 40?
  3. How many students have scored marks less than 60?

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.

  1. How many students have scored marks 70 or more than 70?
  2. How many students have scored marks 30 or more than 30?

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