Perhaps you're unclear about the actual difference between 'weather' and 'climate'.
Climate
From Wikipedia, the free encyclopedia
Climate encompasses the statistics of temperature, humidity, atmospheric pressure, wind, precipitation, atmospheric particle count and other meteorological elemental measurements in a given region over long periods. Climate can be contrasted to weather, which is the present condition of these elements and their variations over shorter periods.
'Climate' is just the statistical average of all of the "weather events" that occurred over a long period. 'Weather' is the day to day actual conditions - temperature, rain, wind, etc..
Looking at statistical trends over time in something like record hot vs record cold temperatures
is a study of
climate trends and these trends are scientifically significant.
Preliminary Data Lift March Heat Records to Nearly 19 Times Cold Records
March 16, 2012
(excerpts)
The surge of early spring heat records reached over 400 yesterday alone in preliminary reports from the National Climatic Data Center. This includes 68 official National Weather Service locations out of 290 possible records. In other words, over 23% of all official reporting locations in the entire U.S. set new daily records for March 15. This brings the total number of new heat records for the month so far to 1757, which is 18.7 times the number of cold records. Including the number of ties, the total number of record high temperatures for March to date is nearly 2300. For the year to date, the ratio of heat records to cold records is over 14 to 1.
Monthly ratio of daily high temperature to low temperature records set in the U.S. for January 2011 through March 15, 2012, seasonal ratio for summer and fall 2011, winter 2011-2012, and annual ratio for 2012 and 2011