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# Draw an Ogive for the Data Given Beelow and from the Graph Determine: - ICSE Class 10 - Mathematics

ConceptMeasures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data

#### Question

Draw an ogive for the data given beelow and from the graph determine:

(1) the median marks

(2) the number of students who obtained more than 75% marks

 Marks No.of students 0-9 5 10-19 9 20-29 16 30-39 22 40-49 26 50-59 18 60-69 11 70-79 6 80-89 4 90-99 3

#### Solution

 Marks No.of students Cumulative frequency 05-9.5 5 5 9.5-19.5 9 14 19.5-29.5 16 30 29.5-39.5 22 52 39.5-49.5 26 78 49.5-59.5 18 96 59.5-69.5 11 107 69.5-79.5 6 113 79.5-89.5 4 117 89.5-99.5 3 120

Total number of terms = 120

∴  Median=120/2=60^(th)term

Through mark 60, draw a parallel line to x-axis whicch meets the  curve at A. from A draw  a perpendicular to x-axis meeting it at B.

The value of point B the median =43

Total marks=100

75% of total marks =75/100xx100=75

The number of students getting more than 75% marks = 120-111 = 9

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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)
24E | Q: 3
Solution Draw an Ogive for the Data Given Beelow and from the Graph Determine: Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.
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