To manually compile OpenSSL, do as follows:

$ cd /usr/src

$ wget https://www.openssl.org/source/openssl-1.0.1g.tar.gz -O openssl-1.0.1g.tar.gz

$ tar -zxf openssl-1.0.1g.tar.gz

$ cd openssl-1.0.1g

$ ./config

$ make

$ make test

$ make install

$ openssl version

If it shows the old version, do the steps below.

$ mv /usr/bin/openssl /root/

$ ln -s /usr/local/ssl/bin/openssl /usr/bin/openssl
openssl version
OpenSSL 1.0.1g 7 Apr 2014