Rounding to Even/Examples/72.465 to 2dp
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Example of Rounding to Even
$72 \cdotp 465$ rounded to $2$ decimal places using rounding to even is $72 \cdotp 46$.
Proof
We have that $72 \cdotp 465$ is equally far away from $72 \cdotp 46$ as it is from $72 \cdotp 47$.
But $72 \cdotp 46$ ends in an even integer.
That is, $7246$ 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