NDA2016MathematicsStatisticsActual
For the data 3,5,1,6,5,9,5,2,8,6 the mean, median and mode are x , y and z respectively. Which one of the following is correct?
Options
- Ax=y z
- Bx y=z
- Cx y z
- Dx=y=z
Correct answer
D. x=y=z
Step-by-step solution
Given data 3,5,1,6,5,9,5,2,8,6 and mean, median and mode are x, y, z respectively. Rearranging data aligned & 1,2,3,5,5,5,6,6,8,9 & Mean =x= 1+2+3+5+5+5+6+6+8+9 10 = 50 10 =5 & Median =y= n^ th 2 term + ( n 2 +1 )^ th term 2 & y= 5+5 2 =5 aligned Mode (z)= most frequently occuring value =5 Hence x=y=z .