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

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Question

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
Sum

Solution

The frequency distribution table is

C. I  c.f
10 - 19 8
20 - 29 11
30 - 39 4
40 - 49 7
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Chapter 18: Statistics - Exercise 18 (A) [Page 228]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 18 Statistics
Exercise 18 (A) | Q 9.1 | Page 228

RELATED QUESTIONS

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 a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass boxes in centimeters. The data collected was as follows.

16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10.

By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.


In a village, the milk was collected from 50 milkmen at a collection center in litres as given below:

27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.

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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 the frequency distribution table from the following cumulative frequency table:

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Below 4 0
Below 7 85
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Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
1 - 10 12
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The height of 30 children in a class is given in centimetres. Draw up a frequency table of this data.
131, 135, 140, 138, 132, 133, 135, 133, 134, 135, 132, 133, 140, 139, 132, 131, 134, 133, 140, 140, 139, 136, 137, 136, 139, 137, 133, 134, 131, 140


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.


Inclusive series is a continuous series


Inclusive series is a _________ series


Size of the class 150 – 175 is ______.


Tally marks are used to find ______.


Upper limit of class interval 75 – 85 is ______.


In the class interval 26 – 33, 33 is known as ______.


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


If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first-class interval is 45 – 50.


The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

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  1. Which class has the least frequency?
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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?
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