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The value of π upto 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 From this information prepare an ungrouped frequency distribution table

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प्रश्न

The value of π upto 50 decimal places is given below:

3.14159265358979323846264338327950288419716939937510 

From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.

योग
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उत्तर

Digits Tally Marks  Frequency
0 `bb|bb|` 2
1 `cancel(bb|bb|bb|bb|)` 5
2 `cancel(bb|bb|bb|bb|)` 5
3 `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` 8
4 `bb|bb|bb|bb|` 4
5 `cancel(bb|bb|bb|bb|)` 5
6 `bb|bb|bb|bb|` 4
7 `bb|bb|bb|bb|` 4
8 `cancel(bb|bb|bb|bb|)` 5
9 `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` 8
    Total (N) = 50
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अध्याय 7: Statistics - Practice set 7.3 [पृष्ठ ११८]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 7 Statistics
Practice set 7.3 | Q (6) | पृष्ठ ११८

संबंधित प्रश्न

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

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 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

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, .......


Given below are the marks obtained by 30 students in an examination:

08

17

33

41

47

23

20

34

09

18

42

14

30

19

29

11

36

48

40

24

22

02

16

21

15

32

47

44

33

01

   

Taking class intervals 1 - 10, 11 - 20, ....., 41 - 50; make a frequency table for the above distribution.


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


If a class size is 10 and range is 80 then the number of classes are ___________


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


Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.

328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200


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


Size of the class 150 – 175 is ______.


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


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).


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?

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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