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In a School, 100 Pupils Have Heights as Tabulate Below: - Mathematics

Sum

In  a school, 100 pupils have heights as tabulate below: 

 Height (in cm )  No. of pupils 
121-130 12
131-40 16
141-150 30
151-160 20
161-170 14
171-180 8

Find the median height by drawing an ogive. 

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Solution

Height (in cm) No. of pupils Cumulative Frequency 
121-130 12 12
131-140 16 28
141-150 30 58
151-160 20 78
161-170 14 92
171-180 8 100 

Number of terms =100 

∴ Median = `100/2=50^(th)` term 

Through 50th term mark draw a line parallel to the x-axis which meets the curve at A. from A, draw a perpendicular to x-axis which meets it at B. 

Value  of B is the median=148 

⇒ Median height = 148 cm

  Is there an error in this question or solution?
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 24 Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24 (C) | Q 10 | Page 373
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