मराठी

Construct a Cumulative Frequency Distribution Table from the Frequency Table Given Below - Mathematics

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प्रश्न

Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
1 - 10 12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10
बेरीज
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उत्तर

The cumulative frequency distribution table is

C.I c.f
1 - 10 12
11 - 20 30
21 - 30 53
31 - 40 68
41 - 50 78
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पाठ 18: Statistics - Exercise 18 (A) [पृष्ठ २२८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 18 Statistics
Exercise 18 (A) | Q 8.2 | पृष्ठ २२८

संबंधित प्रश्‍न

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.

  1. By taking classes 100-149, 150-199, 200-249... prepare grouped frequency distribution table.
  2. From the table, find the number of people who donated rupees 350 or more.

If the classes are 0-10, 10-20, 20-30... then in which class should the observation 10 be included?


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

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

Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
0 -8 9
8 - 16 13
16 - 24 12
24 - 32 7
32 - 40  15

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, .......


Construct a frequency distribution table from the following cumulative frequency distribution:

C.I C.F
5 - 10  18
10 - 15 30
15 - 20 46
20 - 25 73
25 - 30  90

In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2


A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.
3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4


The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2


Observe the given frequency table to answer the following:

Class Interval 20 - 24 25  29 30 - 34 35 - 39 40 - 44 45 - 49
Frequency 6 12 10 15 9 2

a. The true class limits of the fifth class.
b. The size of the second class.
c. The class boundaries of the fourth class.
d. The upper and lower limits of the sixth class.
e. The class mark of the third class.


The upper limit of the class interval (25 - 35) is _____________


The range of the data 200, 15, 20, 103, 3, 196, is _____________


Represent the following data in ungrouped frequency table which gives the number of children in 25 families.

1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4


Size of the class 150 – 175 is ______.


The difference between the upper and lower limit of a class interval is called the ______ of the class interval.


The number of times a particular observation occurs in a given data is called its ______.


Using the following frequency table.

Marks (obtained out of 10) 4 5 7 8 9 10
Frequency 5 10 8 6 12 9

9 students got full marks.


The class size of the class interval 60 – 68 is 8.


Following are the number of members in 25 families of a village:

6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.

Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.


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