#### Chapters

Chapter 2: Banking (Recurring Deposit Account)

Chapter 3: Shares and Dividend

Chapter 4: Linear Inequations (In one variable)

Chapter 5: Quadratic Equations

Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)

Chapter 7: Ratio and Proportion (Including Properties and Uses)

Chapter 8: Remainder and Factor Theorems

Chapter 9: Matrices

Chapter 10: Arithmetic Progression

Chapter 11: Geometric Progression

Chapter 12: Reflection

Chapter 13: Section and Mid-Point Formula

Chapter 14: Equation of a Line

Chapter 15: Similarity (With Applications to Maps and Models)

Chapter 16: Loci (Locus and Its Constructions)

Chapter 17: Circles

Chapter 18: Tangents and Intersecting Chords

Chapter 19: Constructions (Circles)

Chapter 20: Cylinder, Cone and Sphere

Chapter 21: Trigonometrical Identities

Chapter 22: Height and Distances

Chapter 23: Graphical Representation

Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)

Chapter 25: Probability

## Chapter 23: Graphical Representation

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

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 |

Draw histogram for the following distributions:

Class Interval |
10-16 | 16-22 | 22-28 | 28-34 | 34-40 |

Frequency |
15 | 23 | 30 | 20 | 16 |

Draw histrogram for the following distributions:

Class interval |
30-39 | 40-49 | 50-59 | 60-69 | 70-79 |

Frequency |
24 | 16 | 09 | 15 | 20 |

Draw histogram ffor the following distributtions:

Class Marks |
16 | 24 | 32 | 40 | 48 | 56 | 64 |

Frequency |
8 | 12 | 15 | 18 | 25 | 19 | 10 |

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 |

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 |

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 |

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 |

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

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

Use this table to construct an ogive.

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

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 |

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.

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 |

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 |

## Chapter 23: Graphical Representation

## 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.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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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