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Construct a cumulative frequency distribution table from the frequency table given below: Class Interval 0 -8 8 - 16 16 - 24 24 - 32 32 - 40 Frequency 9 13 12 7 15

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प्रश्न

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
योग
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उत्तर

The cumulative frequency distribution table is

C.I f c.f
0 - 8 9 9
8 - 16 13 22
16 - 24 12 34
24 - 32 7 41
32 - 40  15 56
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अध्याय 17: Statistics - Exercise 18 (A) [पृष्ठ २२८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 17 Statistics
Exercise 18 (A) | Q 8.1 | पृष्ठ २२८

संबंधित प्रश्न

For class interval 20-25 write the lower class limit and the upper class limit.


Find the class-mark of the class 35 - 40.


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
22 6
24 7
26 13
28 4

What is the class-mark of class 25-35?


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
1 - 10 12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10

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


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.


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


In the class interval 20 – 30, the lower class limit is ______.


The class size of the interval 80 – 85 is ______.


In the class intervals 10 – 20, 20 – 30, etc., respectively, 20 lies in the class ______.


Using the following frequency table.

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

The frequency of more than 8 marks is 21.


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.


Given below is a frequency distribution table. Read it and answer the questions that follow:

Class Interval Frequency
10 – 20 5
20 – 30 10
30 – 40 4
40 – 50 15
50 – 60 12
  1. What is the lower limit of the second class interval?
  2. What is the upper limit of the last class interval?
  3. What is the frequency of the third class?
  4. Which interval has a frequency of 10?
  5. Which interval has the lowest frequency?
  6. What is the class size?

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.

Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 – 8 (excluding 8 and including 4).


Complete the following table:

Weights
(in kg.)
Tally Marks Frequency
(Number of persons)
40 – 50 `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|`  
50 – 60 `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|bb|bb|`  
60 – 70 `\cancel(bb|bb|bb|bb|) bb|`  
70 – 80 `bb|bb|`  
80 – 90 `bb|`  

Find the total number of persons whose weights are given in the above table.


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