Graphical Representation Concise Solutions Chapter-23 Class 10

Chapter-23 Graphical Representation ( Histograms and Ogives ) Concise Selina Publishers Maths ICSE Class 10

Graphical Representation Concise Solutions Chapter-23 ( Histograms and Ogives ) Class 10. Solutions of Graphical Representation ( Histograms and Ogives ) Chapter-23 for Concise Selina Maths of ICSE Board Class 10th. Concise Maths SolutionsGraphical Representation ( Histograms and Ogives ) Chapter-23 for ICSE Maths Class 10 is available here. This post is the Step by Step  Selina Publishers Solutions of Concise Maths of Graphical Representation ( Histograms and Ogives ) Chapter-23 has been solved according instruction given by council.

Graphical Representation ( Histograms and Ogives )Concise Solutions Chapter-23 Class 10

 This is the  Solutions of Graphical Representation ( Histograms and Ogives ) Chapter-23 for ICSE Class 10th. ICSE Maths text book of Concise is In series of famous ICSE writer in maths publications. Concise is most famous among students

Concise Solutions of Chapter-23 Graphical Representation ( Histograms and Ogives ) for ICSE Maths Class 10

Question 1.

Draw histograms for the following distributions :
………

Answer 1

Statics Ex 23 Ans 1 Concise Maths solutions Chapter-23 Graphical Representation

Statics Ex 23 Ans 1

Question 2.

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

Answer 2

 Concise Maths solutions Chapter-23 Graphical Representation Statics Ex 23 Ans 2

Question 3.

Draw an ogive for each of the following distributions :

Answer 3

Statics Concise Maths solutions Chapter-23 Graphical Representation Ex 23 Ans 3

Now plotting the points (10, 8), (20, 25), (30, 38), (40, 50) and (50, 67) on the graph and join them with free hand to obtain an ogive as shown in the graph.

Now plot the points (10, 0), (20, 17), (30, 32), (40, 37), (50, 53), (60, 58) and (70, 65) on the graph and join them with free hand to get an ogive as shown in the graph.

Question 4.

Construct a frequency distribution table for the numbers given below, using the class intervals 21-30,31-40…. etc.
75, 67, 57, 50, 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:
(i) a histogram
(ii) an ogive

Answer 4

Statics Ex 23 Ans 4

(ii)

Ogive :
We plot the points (30, 4), (40, 13), (50, 22), (60, 29); (70, 37) and (80, 40) on the graph and join them in free hand to obtain an ogive.

Question 5.

(a) Use the information given in the adjoining histogram to c construct a f frequency table.
(b)Use this table to construct an ogive.

Answer 5

From the histogram given, the required frequency table will be as given below.

Statics Ex 23 Ans 5

Question 6.

(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.

Answer 6

Difference in consecutive class marks. = 17.5 – 12.5 = 5
∴ first class interval will be : 10-15 and so on
Statics Ex 23 Ans 6

Question 7. Graphical Representation Concise Solutions

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

Answer 7

Statics Ex 23 Ans 7

(ii) We plot the points (7000, 10), (7500, 28), (8000, 50), (8500, 75), (9000, 92) (9500, 102) and (10000, 110) on the graph and join them in free hand to obtain an ogive.

Question 8.

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

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

Answer 8

Statics Ex 23 Ans 8

We plot points (155, 6), (160, 18), (165, 36),
(170, 56), (175, 69), (180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.

Question 9.

Construct a frequency distribution table for each of the following distributions :

Answer 9

Statics Ex 23 Ans 9

End of Graphical Representation Concise Solutions Chapter-23

 

Chapter Wise Concise Maths Solutions for ICSE Class 10th Selina Publications 

  1. GST ( Goods and Services Tax)
  2. Banking
  3. Shares and Dividends
  4. Linear In equations in One Variable
  5. Quadratic Equations 
  6. Solving Simple Problems (Based on Quadratic Equations)
  7. Ratio and Proportion ( Including Properties and Uses )
  8. Reminder and Factor Theorems
  9. Matrices
  10. Arithmetic Progression
  11. Geometric Progression
  12. Reflection
  13. Section And Mid Point Formula 
  14. Equation of a Line
  15. Similarity (With Applications to Maps and Models )
  16. Loci (Locus and its Constructions)
  17. Circles
  18. Tangents and Intersecting Chords
  19. Constructions ( Circles)
  20. Cylinder, Cone and Spheres (Surface Area and Volume )
  21. Trigonometrical Identities
  22. Heights and Distances
  23. Graphical Representation (Histograms and Ogives)
  24. Measures of Central Tendency (Mean , Median, Quartiles and Mode)
  25. Probability

Other Subject Chapter-Wise Solutions for ICSE Class 10

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