RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions for Class 8 Mathematics

Created by: Abhishek Kapoor

Class 8 : RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev

The document RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

PAGE NO 23.14:

Question 1:

The marks obtained by 40 students of class VIII in an examination are given below:
  16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.
  Divide the data into five groups, namely 0−5, 5−10, 10−15, 15−20 and 20−25 and prepare a grouped frequency table.

ANSWER:

The frequency table for the marks of 40 students of class VIII in an examination is given below:

Range of MarksTally MarksFrequency
0−5  RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||||9
5−10   RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||||9
10−15  RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||7
15−20  RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||||9
20−25  RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |6

 

Question 2:

The marks scored by 20 students in a test are given below:
  54, 42, 68, 56, 62, 71, 78, 51, 72, 53, 44, 58, 47, 64, 41, 57, 89, 53, 84, 57.
  Complete the following frequency table:

(Marks in class intervals)Tally marksFrequency (no. of children)
40−50  
50−60  
60−70  
70−80  
80−90  

What is the class interval in which the greatest frequency occurs?

ANSWER:

The frequency table can be completed as follows:

MarksTally MarksFrequency
40−50||||4
50−60  RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||8
60−70|||3
70−80|||3
80−90||2

The class interval with the greatest frequency (8) is 50−60.


Question 3:

The following is the distribution of weights (in kg) of 52 persons:

Weight in kgPersons
30−4010
40−5015
50−6017
60−706
70−804

(i) What is the lower limit of class 50−60?
  (ii) Find the class marks of the classes 40−50, 50−60.
  (iii) What is the class size?

ANSWER:

(i) The lower limit of the class 50−60 is 50.
(ii) Class mark for the class 40−50:
RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev = 90/2 = 45
    Again, class mark for the class 50−60:
RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev = 110/2 = 55
(iii) Here the class size is  40−30, i.e. 10.


Question 4:

Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40−50 (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.
  (i) What is the class mark of the class interval 40−45?
  (ii) What is the range of the above weights?
  (iii) How many classes are there?

ANSWER:

The frequency table for the given weights (in gm) of 35 mangoes is given below:

WeightTally MarksFrequency
30−40 RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev|6
40−50RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |6
50−60RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||||9
60−70RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||7
70−80RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||7


(i) Class mark for the class interval 40−45:
 Class mark = RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev = 85/2 = 42.5
(ii) Range of the above weights:
Range = Highest value−Lowest value        
= 74−30        
= 44
(iii) There are 5 classes (30−40, 40−50, 50−60, 60−70, 70−80).

 

Question 5:

Construct a frequency table with class−intervals 0−5 (5 not included) of the following marks obtained by a group of 30 students in an examination.
  0, 5, 7, 10, 12, 15, 20, 22, 25, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 29, 31, 35, 37, 40, 42,45, 49, 4, 50, 16.

ANSWER:

The frequency table with class intervals 0−5,5−10,10−15,...,50−55 is given below:

MarksTally MarksFrequency
0−5|||3
5−10RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
10−15|||3
15−20RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
20−25|||3
25−30|||3
30−35|1
35−40||2
40−45||2
45−50||2
50−55|1

 

Question 6:

The marks scored by 40 students of class VIII in mathematics are given below:
  81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54.
  Prepare a frequency distribution with class size of 10 marks.

ANSWER:

The frequency table of the marks scored by 40 students of class VIII in mathematics is given below:

MarkTally MarksFrequency
20−30|1
30−40|||3
40−50RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
50−60RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev  |||8
60−70RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||8
70−80RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev  ||||9
80−90||||4
90−100||2

 

PAGE NO 23.15:

Question 7:

The heights (in cm) of 30 students of class VIII are given below:
  155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153.
  Prepare a frequency distribution table with 160−164 as one of the class intervals.

ANSWER:

The frequency table is given below:

HeightTally MarksFrequency
145−149||||4
150−154RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||||9
155−159RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRevRD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev ||12
160−164RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5

 

Question 8:

The monthly wages of 30 workers in a factory are given below:
  830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.
  Represent the data in the form of a frequency distribution with class size 10.

ANSWER:

The frequency table of the monthly wages of 30 workers in a factory is given below:

WageTally MarksFrequency
800−810|||3
810−820||2
820−830|1
830−840RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||8
840−850RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
850−860|1
860−870|||3
870−880|1
880−890|1
890−900RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5

 

Question 9:

Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210−230 (230 not included):
  220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.

ANSWER:

The frequency table of the monthly wages of 28 labourers working in a factory is given below:

WageTally MarksFrequency
210−230||||4
230−250||||4
250−270RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
270−290|||3
290−310RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev  ||7
310−330RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5

 


Question 10:

The daily minimum temperatures in degrees Celsius recorded in a certain Arctic region are as follows:
  −12.5,−10.8,−18.6,−8.4,−10.8,−4.2,−4.8,−6.7,−13.2,−11.8,−2.3, 1.2, 2.6, 0,−2.4, 0, 3.2, 2.7, 3.4, 0,−2.4,−2.4, 0, 3.2, 2.7, 3.4, 0,−2.4,−5.8,−8.9,−14.6,−12.3,−11.5,−7.8,−2.9
  Represent them as frequency distribution table taking−19.9 to−15 as the first class interval.

ANSWER:

The frequency table of the daily minimum temperatures is given below:

TemperatureTally MarksFrequency
−19.9 to −15|1
−14.9 to −10RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||8
−9.9 to −5RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev5
−4.9 to 0RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRevRD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||13
0.1 to 5RD Sharma Solutions - Chapter 23 - Data Handling-I (Part - 2), Class 8, Maths Class 8 Notes | EduRev |||8

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