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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
तक्ता

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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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 9.2 | 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.


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 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.

By taking suitable classes, prepare grouped frequency distribution table.


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

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

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

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


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


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


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 less than 8 marks is 29.


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?

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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