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

A. `x=y nez`
B. `x ne y=z`
C. `xne yne z`
D. `x=y=z`

Answer

D

Explanation

Given data `3,5,1,6,5,9,5,2,8,6` and mean, median and mode are x, y, z respectively.
Rearranging data
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`
Mode (z) = most frequently occuring value = 5
Hence x = y = z.