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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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

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प्रश्न

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.
बेरीज
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उत्तर

Given:

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.

(i) The grouped frequency distribution table of the given data is as follows:

Class interval Tally marks Frequency
100 - 149 `cancel(bb|bb|bb|bb|)` `bb|bb|` 7
150 - 199 `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` 10
200 - 249 `bb|bb|bb|` 3
250 - 299 `cancel(bb|bb|bb|bb|)` 5
300 - 349 `bb|bb|` 2
350 - 399 `bb|bb|bb|bb|` 4
400 - 449 `bb|bb|bb|bb|` 4
450 - 499 `bb|bb|` 2
500 - 549 `bb|` 1
  Total 38

(ii) As, 4 + 4 + 2 + 1 = 11

So, the number of people who donated rupees 350 or more is 11.

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पाठ 7: Statistics - Practice set 7.3 [पृष्ठ ११९]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 7 Statistics
Practice set 7.3 | Q (10) | पृष्ठ ११९

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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.


The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?


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
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.


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10 marks the highest frequency.


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The class size of the class interval 60 – 68 is 8.


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?

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