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(A) from the Distribution, Given Above, Construct a Frequency Table. (B) Use the Table Obtained in Part (A) to Draw: (I) a Histogram, (Ii) an Ogive - Mathematics

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Sum
Class mark 12.5 17.5 22.5 27.5 32.5 32.5 42.5 
Frequency 12 17 22 27 30 21 16

(a) From the distribution, given above, construct a frequency table.
(b) Use the table obtained in part (a) to draw: (i) a histogram, (ii) an ogive 

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Solution

(a) Difference in consecutive class marks = 17.5 − 12.5 = 5
⇒ first class interval will be 10-15 and so on. 

Class Mark Class Interval Frequency c.f. 
12.5 10-15 12 12
17.5 15-20 17 29
22.5 20-25 22 51
27.5 25-30 27 78
32.5 30-35 30 108
37.5 35-40 21 129
42.5 40-45 16 145

Total = 145 

  

(b) Now plot the points (15,12), (20,29), (25,51), (30,78), (35,108), (40,129), (45,145) and join them to obtain an ogive. 

 

Concept: Finding the Median, upper quartile, lower quartile from the Ogive
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 23 Graphical Representation
Exercise 23 | Q 6 | Page 349
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