#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

## Chapter 23: Graphical Representations

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 23 Graphical Representations Exercise

Construct histograms for following frequency distribution:

Class Interval |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |

Frequency |
8 | 20 | 34 | 22 | 10 | 6 |

Construct histograms for following frequency distribution:

Class Interval | 130-140 | 140-150 | 150-160 | 160-170 | 170-180 |

Frequency | 24 | 16 | 29 | 20 | 11 |

Construct histograms for following frequency distribution:

Class Interval | 1-10 | 11-20 | 21-30 | 31-40 | 41-50 |

Frequency | 11 | 23 | 30 | 20 | 16 |

Construct histograms for following frequency distribution:

Class Interval | 110-119 | 120-129 | 130-139 | 140-149 | 150-159 |

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

Construct histograms for following frequency distribution:

Class Mark | 15 | 25 | 35 | 45 | 50 | 55 | 60 |

Frenuencv | 6 | 12 | 15 | 18 | 25 | 14 | 10 |

Construct histograms for following frequency distribution:

Class Mark | 6 | 12 | 18 | 24 | 30 | 36 |

Frequency | 8 | 12 | 15 | 18 | 25 | 7 |

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |

Frequency |
8 | 13 | 27 | 35 | 14 | 3 |

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval |
11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 |

Frequency |
15 | 28 | 50 | 35 | 20 | 12 |

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |

Frequency | 10 | 15 | 17 | 12 | 10 |

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Mark |
10 | 15 | 20 | 25 | 30 | 35 | 40 |

Frequency |
4 | 20 | 40 | 45 | 30 | 25 | 5 |

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval |
10-20 | 20-40 | 40-60 | 60-80 | 80-100 |

Frequency |
9 | 17 | 15 | 20 | 14 |

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval |
1-10 | 11-20 | 21-30 | 31-40 | 41-50 |

Frequency |
8 | 12 | 10 | 16 | 6 |

Draw an ogive for the following :

Class Interval |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

Frequency |
8 | 12 | 10 | 14 | 6 |

Draw an ogive for the following :

Class Interval |
100-150 | 150-200 | 200-250 | 250-300 | 300-350 | 350-400 |

Frequency |
10 | 13 | 17 | 12 | 10 | 8 |

Draw an ogive for the following :

Class Interval |
10-19 | 20-29 | 30-39 | 40-49 | 50-59 |

Frequency |
28 | 23 | 15 | 20 | 14 |

Draw an ogive for the following :

Marks obtained |
Less than 10 | Less than 20 | Less than 30 | Less than 40 | Less than 50 |

No. of students |
8 | 22 | 48 | 60 | 75 |

Draw an ogive for the following :

Age in years |
Less than 10 | Less than 20 | Less than 30 | Less than 40 | Less than 50 |

No. of people |
0 | 17 | 42 | 67 | 100 |

Draw an ogive for the following :

Marks obtained |
More than 10 | More than 20 | More than 30 | More than 40 | More than 50 |

No. of students |
8 | 25 | 38 | 50 | 67 |

Draw an ogive for the following :

Marks (More 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 Representations

## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 23 - Graphical Representations

Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 23 (Graphical Representations) 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 ICSE Class 10 Mathematics Part 2 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. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in ICSE Class 10 Mathematics Part 2 chapter 23 Graphical Representations are Median of Grouped Data, Ogives (Cumulative Frequency Graphs), Concepts of Statistics, 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, Concept of Median, Graphical Representation of Data as Histograms, Mean of Grouped Data, Mean of Ungrouped Data, Median of Ungrouped Data, Mode of Ungrouped Data, Mode of Grouped Data, Mean of Continuous Distribution, Graphical Representation of Data as Histograms.

Using Frank Class 10 solutions Graphical Representations exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Frank Textbook Solutions to score more in exam.

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