You think those things are not included in CPI?
The CPI basket weight for
food increased from 16.07% in 2013 to
16.45% in 2015.
Shelter’s share of the CPI basket reached 26.79% in 2015, as the share of rent charges rose from 5.67% in 2013 to 6.20% in 2015.
The basket weight for
transportation expenses declined from 20.01% in 2013 to
19.48% in 2015.
The
household operations, furnishings and equipment major component recorded continued growth in its share of the CPI basket between 2009 and 2015, rising from 11.84% to 13.01% over the period.
16.45 + 26.79 + 19.48 + 13.01 = 75.73%.
Introduction The Consumer Price Index (CPI) is one of Canada’s most important economic indicators and is used to support monetary policy, and adjust wages and social benefits. The CPI measures the change in the cost of a basket of goods and services that is typically purchased by Canadians.
www.statcan.gc.ca
Transportation (gas and car prices), Food, Shelter (housing) and Household operations (electricity, internet, water bills, etc.) account for more than 75% of the CPI index. I'm not sure I understand your real inflation thing.
You can claim that the basket of goods is not representative to your situation. Stats can has a tool to calculate your own inflation rate by the way.
Personal Inflation Calculator
But saying the CPI is a hoax and we're all being lied to, that's incorrect.