Rounding to Even/Examples/183.575 to 2dp

Example of Rounding to Even

$183 \cdotp 575$ rounded to $2$ decimal places using rounding to even is $183 \cdotp 58$.

Proof

We have that $183 \cdotp 575$ is equally far away from $183 \cdotp 57$ as it is from $183 \cdotp 58$.

But $183 \cdotp 58$ ends in an even integer.

That is, $18 \, 358$ is even.

Hence the result.

$\blacksquare$

Sources

• 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Rounding of Data