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Solution - From the Following Cumulative Frequency Table , Find : Median Lower Quartile Upper Quaetile - ICSE Class 10 - Mathematics

Question

From the following cumulative frequency table , find :  

Median 

Lower quartile 

Upper quaetile 

Marks (less than ) 10 20 30 40 50 60 70 80 90 100
Cumulative frequency 5 24 37 40 42 48 70 77 79 80 

Solution

 Marks (less than)  Cumulative frequency 
 10 5
20 24
30 37
40 40
50 42
60 48
70 70
80 77
90  79
100 80

Number of term= 80 

\ Median= `40^(th)` term 

 Median= Through `40^(th)` term mark draw a line parallel to the x-axis which meets the curve at A. from A, Draw a perpendiculer to axis which meets it at B. 

Value of B is the median -40 

Lower quartile `(Q_1)=20^(th) term=18`  

Upeer Quartile` (Q_3)=60^th term=66`

  Is there an error in this question or solution?

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Solution for question: From the Following Cumulative Frequency Table , Find : Median Lower Quartile Upper Quaetile concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data. For the course ICSE
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