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# Selina solutions for Concise Mathematics Class 10 ICSE chapter 23 - Graphical Representation [Latest edition]

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## Chapter 23: Graphical Representation

Exercise 23

### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 23 Graphical Representation Exercise 23 [Pages 348 - 349]

Exercise 23 | Q 1.1 | Page 348

Draw histogram for the following distributions:

 Class Interval 0-10 10-20 20-30 30-40 40-50 50-60 Frequancy 12 20 26 18 10 6
Exercise 23 | Q 1.2 | Page 348

Draw histogram for the following distributions:

 Class Interval 10-16 16-22 22-28 28-34 34-40 Frequency 15 23 30 20 16
Exercise 23 | Q 1.3 | Page 348

Draw histrogram for the following distributions:

 Class interval 30-39 40-49 50-59 60-69 70-79 Frequency 24 16 09 15 20
Exercise 23 | Q 1.4 | Page 348

Draw histogram ffor the following distributtions:

 Class Marks 16 24 32 40 48 56 64 Frequency 8 12 15 18 25 19 10
Exercise 23 | Q 2.1 | Page 348

Draw a cumulative frequency curve (ogive) for each of the following distributions:

 Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 Frequency 10 15 17 12 10 8
Exercise 23 | Q 2.2 | Page 348

Draw a cumulative frequency curve (ogive) for each of the following distributions:

 Class Interval 10 – 19 20 – 29 30 – 39 40 – 49 50 – 59 Frequency 23 16 15 20 12
Exercise 23 | Q 3.1 | Page 348

Draw an ogive for each of the following distributions:

 Marks obtained Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 No of students 8 25 38 50 67

Exercise 23 | Q 3.2 | Page 348

Draw an ogive for each of the following distributions:

 Age in years (less than) 10 20 30 40 50 60 70 Cumulative frequency 0 17 32 37 53 58 65
Exercise 23 | Q 4 | Page 349

Construct a frequency distribution table for the numbers given below, using the class intervals
21 – 30, 31 – 40 ………… etc.
75, 65, 57, 26, 33,44, 58, 67, 75, 78, 43, 41, 31, 21, 32, 40, 62, 54, 69, 48, 47, 51, 38, 39, 43, 61, 63, 68, 53, 56, 49, 59, 37, 40, 68, 23, 28, 36 and 47.
Use the table obtained to draw: (1) a histrogram (2) an ogive

Exercise 23 | Q 5 | Page 349

Use the information given in the adjoining histogram to construct a frequency table.
Use this table to construct an ogive.

Exercise 23 | Q 6 | Page 349
 Class mark 12.5 17.5 22.5 27.5 32.5 32.5 42.5 Frequency 12 17 22 27 30 21 16

(a) From the distribution, given above, construct a frequency table.
(b) Use the table obtained in part (a) to draw: (i) a histogram, (ii) an ogive

Exercise 23 | Q 7 | Page 349

Use graph paper for this question.
The table given below shows the monthly wages of some factory workers
(i) Using the table, calculate the cumulative frequencies of workers
(ii) Draw a cumulative frequency curve.
Use 2 cm = ₹ 500, starting the origin at ₹ 6500 on x-axis, and 2 cm = 10 workers on the y – axis.

 Wages (in Rs) 6500-7000 7000-7500 7500-8000 8000-8500 8500-9000 9000-9500 9500-10000 No of workers 10 18 22 25 17 10 8
Exercise 23 | Q 8 | Page 349

The following table shows the distribution of the heights of a group of factory workers:

 Ht. (cm) 150 - 155 155 – 160 160 - 165 165 – 170 170 – 175 175 - 180 180 – 185 No of workers: 6 12 18 20 13 8 6

(i) Determine the cumulative frequencies.
(ii) Draw the ‘less than’ cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.

Exercise 23 | Q 9.1 | Page 349

Construct a frequency distribution table for each of the following distributions

 Marks (less than) 0 10 20 30 40 50 60 70 80 90 100 Cumulative frequency 0 7 28 54 71 84 105 147 180 196 200
Exercise 23 | Q 9.2 | Page 349

Construct a frequency distribution table for each of the following distributions

 Marks (less than) 0 10 20 30 40 50 60 70 80 90 100 Cumulative frequency 100 87 65 55 42 36 31 21 18 7 0

Exercise 23

## Selina solutions for Concise Mathematics Class 10 ICSE chapter 23 - Graphical Representation

Selina solutions for Concise Mathematics Class 10 ICSE chapter 23 (Graphical Representation) 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 CISCE Concise Mathematics Class 10 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 10 ICSE chapter 23 Graphical Representation are Median of Grouped Data, Histograms, Ogives (Cumulative Frequency Graphs), Basic Concepts of Statistics, Graphical Representation of Histograms, Graphical Representation of Ogives, Finding the Mode from the Histogram, Finding the Mode from the Upper Quartile, Finding the Mode from the Lower Quartile, Finding the Median, upper quartile, lower quartile from the Ogive, Calculation of Lower, Upper, Inter, Semi-Inter Quartile Range, Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data, Mean of Grouped Data, Mean of Ungrouped Data, Median of Ungrouped Data, Mode of Ungrouped Data, Mode of Grouped Data, Mean of Continuous Distribution.

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