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RD Sharma solutions for Class 8 Mathematics chapter 23 - Data Handling-I (Classification and Tabulation of Data)

Mathematics for Class 8 by R D Sharma (2019-2020 Session)

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RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

Mathematics for Class 8 by R D Sharma (2019-2020 Session) - Shaalaa.com

Chapter 23: Data Handling-I (Classification and Tabulation of Data)

Ex. 23.10Ex. 23.20

Chapter 23: Data Handling-I (Classification and Tabulation of Data) Exercise 23.10 solutions [Pages 7 - 8]

Ex. 23.10 | Q 1.01 | Page 7

Define the following term:

 Observations

Ex. 23.10 | Q 1.02 | Page 7

Define the following term: 

Raw data

Ex. 23.10 | Q 1.03 | Page 7

Define the following term: 

 Frequency of an observation 

Ex. 23.10 | Q 1.04 | Page 7

Define the following term: 

Frequency distribution

Ex. 23.10 | Q 1.05 | Page 7

Define the following term: 

 Discrete frequency distribution

Ex. 23.10 | Q 1.06 | Page 7

Define the following term:

Grouped frequency distribution

Ex. 23.10 | Q 1.07 | Page 7

Define the following term: 

Class-interval

Ex. 23.10 | Q 1.08 | Page 7

Define the following term: 

 Class-size

Ex. 23.10 | Q 1.09 | Page 7

Define the following term:

Class limits

Ex. 23.10 | Q 1.1 | Page 7

Define the following term: 

True class limits 

Ex. 23.10 | Q 2 | Page 7

The final mark in mathematic of 30 student are as follow: 

53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84,
58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60

Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc.

Now answer the following:
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) What is the range?
(v) If 40 is the pass mark how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(viii) How many have scored less than 50?

Ex. 23.10 | Q 3 | Page 7

The weights of new born babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
(vii) How many babies weigh more than 2.8 kg?
(viii) How many babies weigh 2.8 kg?

 

Ex. 23.10 | Q 4 | Page 8

Following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.

Ex. 23.10 | Q 5 | Page 8

Prepare a frequency table of the following scores obtained by 50 students in a test:

42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17,
44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51,
53, 53, 59, 41, 29, 38, 27, 31, 64, 19, 53, 51, 22,
61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43,    
Ex. 23.10 | Q 6 | Page 8

A die was thrown 25 times and following scores were obtained:

1, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2,
6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2,  

Prepare a frequency table of the scores.

Ex. 23.10 | Q 7 | Page 8

In a study of number of accidents per day, the observations for 30 days were obtained as follows:

6, 3, 5, 6, 4, 3, 2, 5, 4, 2, 4, 2, 1, 2, 2,
0, 5, 4, 6, 1, 6, 0, 5, 3, 6, 1, 5, 5, 2, 6

Prepare a frequency distribution table.

Ex. 23.10 | Q 8 | Page 8

Prepare a frequency table of the following ages (in years) of 30 students of class VIII in your school:
13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14, 13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14

Ex. 23.10 | Q 9 | Page 8

Following figures relate to the weekly wages (in Rs) of 15 workers in a factory:
300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150, 300, 150, 200, 250
Prepare a frequency table.
(i) What is the range in wages (in Rs)?
(ii) How many workers are getting Rs 350?
(iii) How many workers are getting the minimum wages?

Ex. 23.10 | Q 10 | Page 8

Construct a frequency distribution table for the following marks obtained by 25 students in a history test in class VIII of a school:
9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9
(i) What is the range of marks?
(ii) What is the highest mark?
(iii) Which mark is occurring more frequently?

Chapter 23: Data Handling-I (Classification and Tabulation of Data) Exercise 23.20 solutions [Pages 14 - 15]

Ex. 23.20 | Q 1 | Page 14

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.

Ex. 23.20 | Q 2 | Page 14

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 marks Frequency (no. of children)
40-50    
50-60    
60-70    
70-80    
80-90    

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

 

Ex. 23.20 | Q 3 | Page 14

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

Weight in kg Persons
30-40 10
40-50 15
50-60 17
60-70 6
70-80 4

(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? 

Ex. 23.20 | Q 4 | Page 14

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?

Ex. 23.20 | Q 5 | Page 14

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.

Ex. 23.20 | Q 6 | Page 14

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.

Ex. 23.20 | Q 7 | Page 15

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.

Ex. 23.20 | Q 8 | Page 15

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.

Ex. 23.20 | Q 9 | Page 15

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.

Ex. 23.20 | Q 10 | Page 15

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.

Chapter 23: Data Handling-I (Classification and Tabulation of Data)

Ex. 23.10Ex. 23.20

RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

Mathematics for Class 8 by R D Sharma (2019-2020 Session) - Shaalaa.com

RD Sharma solutions for Class 8 Mathematics chapter 23 - Data Handling-I (Classification and Tabulation of Data)

RD Sharma solutions for Class 8 Maths chapter 23 (Data Handling-I (Classification and Tabulation of Data)) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 8 by R D Sharma (2019-2020 Session) solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 8 Mathematics chapter 23 Data Handling-I (Classification and Tabulation of Data) are Introduction of Grouping Data, Bars with a Difference, Introduction of Circle Graph Or Pie Chart, Circle Graph Or Pie Chart - Drawing Pie Charts, Chance and Probability - Getting a Result, Chance and Probability - Equally Likely Outcomes, Chance and Probability - Linking Chances to Probability, Chance and Probability - Outcomes as Events, Chance and Probability Related to Real Life, Organising Data, Looking for Information, Graphical Representation of Data as Histograms.

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