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Attempt this Question on a Graph Paper. the Table Shows the Distribution of Marks Gained by a Group of 400 Students in an Examination. - ICSE Class 10 - Mathematics

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Question

Attempt this question on a graph paper. The table shows the distribution of marks gained by a group of 400 students in an examination. 

 Marks (Less than )

10 20 30 40 50 60 70 80 90 100
No.of student 5 10 30 60 105 180 270 355 390 400

Using scaie of 2cm to represent 10 marks and 2 cm to represent 50 student, plot these point and draw a smooth curve though the point 

Estimate from the graph : 

(1)the midian marks 

(2)the quartile marks  

Solution

 

 Marks (less than) No.of students
 10  5
20 10
30 30
40 60
50 105
60 180
70 270
80 355
90 390
100 400 

Number of terms=400 

∴ Median= `400/2=200^("th")` term 

Through  200th term mark draw a line parallel to the x-axis which meets the curve at A. draw a prependiculer to x-axis which meet it at B value of B is the median = 62  

Lower Quartile = `Q_1=400/4=100^("th")` term=49

Upper Quartile= `400xx3/4=300^("th")`  term=74

  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)
24C | Q: 11
Solution Attempt this Question on a Graph Paper. the Table Shows the Distribution of Marks Gained by a Group of 400 Students in an Examination. Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.
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