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Maharashtra State BoardSSC (Marathi Semi-English) 9th Standard [इयत्ता ९ वी]
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पाठ्यक्रम

Cumulative Frequency and Cumulative Frequency Table

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CISCE: Class 10

Definition: Cumulative Frequency

The cumulative frequency of a class interval is the sum of the frequencies of all the classes up to this class interval.

Related QuestionsVIEW ALL [12]

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 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.

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

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 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 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?

Complete the following Cumulative Frequency Table:

Class (Monthly income in Rs.)

Frequency
(No. of individuals)

 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 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
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