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If Class Mark is 10 and Class Width is 6 Then Find the Class.

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प्रश्न

If class mark is 10 and class width is 6 then find the class.

योग
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उत्तर

Let x be the upper class limit and y the lower class limit.

class mark = 10   ..[given]

class mark = `(x + y)/2`

10 = `(x + y)/2`

x + y = 20    ...(i)

class width = 6    ...[given]

x - y = 6     ....(ii)

Adding equation (i) and (ii)

   x + y = 20
+ x - y = 6    

2x = 26

x = `26/2`

x = 13

Putting the value x = 13 in equation (i),

x + y = 20

13 + y = 20

y = 20 -13

y = 7

∴ the class is 7-13.

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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 (3) | 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

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.

What is the class-mark of class 25-35?


If the classes are 0-10, 10-20, 20-30... then in which class should the observation 10 be included?


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 frequency table from the following data:

Marks No. of students
less than 10 6
less than 20 15
less than 30 30
less than 40 39
less than 50 53
less than 60 70

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, .......


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

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

In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series


Size of the class 150 – 175 is ______.


Upper limit of class interval 75 – 85 is ______.


In the class interval 20 – 30, the lower class limit is ______.


Using the following frequency table.

Marks (obtained out of 10) 4 5 7 8 9 10
Frequency 5 10 8 6 12 9

9 students got full marks.


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.


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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