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

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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  

  Is there an error in this question or solution?

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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