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The Table Given Below Shows the Ages of Patients Being Treated in a Hospital. Construct a Cumulative Frequency Distribution Table for the Same: - Mathematics

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प्रश्न

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
बेरीज

उत्तर

Age No. of patients Cum. Frequency
10 - 20 90 90
20 - 30 50 140
30 - 40 60 200
40 - 50 80 280
50 - 60 50 330
60 - 70 30 360
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Cumulative Frequency Table
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 22: Statistics - Exercise 22.2

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 22 Statistics
Exercise 22.2 | Q 2

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
(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  

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?

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

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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