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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.
योग
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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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अध्याय 7: Statistics - Practice set 7.3 [पृष्ठ ११९]

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

संबंधित प्रश्न

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`
15 - 16 `bb|bb|bb|bb|` `square`
    `bb(N = sumf = 35)`

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

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.


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:

Ages No. of students
Below 4 0
Below 7 85
Below 10 140
Below 13 243
Below 16 300

(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.


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

The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2


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


Inclusive series is a _________ series


Size of the class 150 – 175 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.


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


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.

Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.

  1. Which class has the least frequency?
  2. Which class has the maximum 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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