# 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**

**Question 2.**

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

**Answer 2**

**Question 3.**

**Draw an ogive for each of the following distributions :**

**Answer 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**

(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.

**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

**Question 7. ****Graphical Representation Concise Solutions**

**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**

(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**

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**

**End of ****Graphical Representation Concise Solutions Chapter-23**

**Graphical Representation Concise Solutions Chapter-23**

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