Question

.If the median of the distribution given below is 28,5, find the values of x and y
Class 10-20 20-30 30.40 40-50 50-60 60-70 Total
Frequency
5
20 15 y
5
60
Х

Answer 1

$Here, it is given that Median =28.5 and n=∑fi=60</p><p></p><p>Cummulative frequency table for the following data is given.</p><p></p><p></p><p>Here n=60⇒2n=30</p><p></p><p>Since, median is 28.5, median class is 20−30</p><p></p><p>Hence, l=20,h=10,f=20,c.f.=5+x</p><p></p><p>Therefore, Median =l+(f2n−cf)h</p><p></p><p>28.5=20+(2030−5−x)10</p><p></p><p>⇒28.5=20+225−x</p><p></p><p>⇒8.5×2=25−x</p><p></p><p>⇒x=8</p><p></p><p>xxx</p><p>Also, 45+x+y=60</p><p></p><p>⇒y=60−45−x=15−8=7.</p><p></p><p></p><p>Hence, x=8,y=7</p><p></p><p>$