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

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

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.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Statistics - Practice set 7.3 [पृष्ठ ११८]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 7 Statistics
Practice set 7.3 | Q (3) | पृष्ठ ११८

संबंधित प्रश्‍न

For class interval 20-25 write the lower class limit and the upper class limit.


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.

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.


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

In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2


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


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


Tally marks are used to find ______.


Upper limit of class interval 75 – 85 is ______.


In the class interval 26 – 33, 33 is known as ______.


The number of times a particular observation occurs in a given data is called its ______.


The class size of the interval 80 – 85 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.


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?

Following are the number of members in 25 families of a village:

6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.

Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.


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?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×