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Construct a Frequency Distribution Table from the Following Cumulative Frequency Distribution - Mathematics

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प्रश्न

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
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उत्तर

The frequency distribution table is

C.I C.F
5 - 10 18
10 - 15 12
15 - 20  16
20 - 25 27
25 - 30 17
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अध्याय 18: Statistics - Exercise 18 (A) [पृष्ठ २२८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 18 Statistics
Exercise 18 (A) | Q 9.2 | पृष्ठ २२८

संबंधित प्रश्न

If class mark is 10 and class width is 6 then find the class.


Complete the Following Table.

Classes (age) Tally marks Frequency
(No. of students)
12-13 `cancel(bb|bb|bb|bb|)` `square`
13-14 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|bb|bb|bb|` `square`
14-15 `square` `square`
15-16 `bb|bb|bb|bb|` `square`
    N = ∑f = 35

In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena'. The record of trees planted by each student is given below:

3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.

Prepare a frequency distribution table of the data.


In the table given below, class-mark and frequencies are given. Construct the frequency table taking inclusive and exclusive classes.

Class width  Frequency
5 3
15 9
25 15
35 13

In the table given below, class-mark and frequencies are given. Construct the frequency table taking inclusive and exclusive classes.

Class width Frequency
22 6
24 7
26 13
28 4

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


Fill in the blank in the following table:

Class interval Frequency Cumulative Frequency
25 - 34 ...... 15
35 - 44 ...... 28
45 - 54 21 ......
55 - 64 16 ......
65 - 74 ...... 73
75 - 84 12 ......

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

Class Interval Cumulative Frequency
10 - 19 8
20 - 29 19
30- 39 23
40- 49 30

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, .......


Inclusive series is a continuous series


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


The number of times an observation occurs in the given data is called ________


In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series


In a frequency distribution with classes 0 – 10, 10 – 20 etc., the size of the class intervals is 10. The lower limit of fourth class 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

10 marks the highest frequency.


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.


Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

  1. How many classes are there in the frequency distribution table?
  2. Which weight group has the highest frequency?

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