The median of the following data is 28. Find the values of x and y, if the total frequency is 50. Marks No. of students 0-7 3 7-14 x 14-21 7 21-28 11 28-35 y 35-42 16 42-49 9 Share with your friends Share 5 Shruti Tyagi answered this Dear Student, N=∑fi⇒N=3+x+7+11+y+16+9⇒N=x+y+46since N=total frequency=50⇒50=x+y+46⇒x+y=4 --1Hence it lies in class interval 28-35l=28, h=35-28=7, f=y, cf=cumulative frequency till l=28hence cf=3+x+7+11=21+xand N=50Now apply median formula Median=l+N2-cff×h⇒28=28+25-21+xY×7⇒28-28=4-xy×7⇒0=4-xy×7⇒4-x=0⇒x=4Now since x+y=4 from equation 14+y=4⇒y=0 Regards, 2 View Full Answer Varshini answered this Ans 6
