It's Relative

 

How Deep is the Ocean?

And if I ever lost you

How much would I cry?

How deep is the ocean?

How high is the sky?

Are large numbers useful?

Large numbers can be useful, if people understand the difference between relative and absolute values.  A large number by itself is an absolute measure  A large number in comparison with another large number is a relative measure.  To avoid confusion, an effort should be made to state something using both measures, and see if the perception changes.

The vaccination program for  COVID-19 was opened to persons over 65 in Massachusetts on February 18, 2021.  At that time, Governor Baker announced that this would open the vaccination to over one million people.  He further announced that 70,000 appointments would be available beginning on that date.

70,000 sounds like a large number and in absolute terms it is a large number.  However in relative terms it is 70,000 appointments for 1 million people or 7% of the eligible population.  That doesn’t sound so large.

Similarly if we hear that Tiffany’s is having a 50% percent off sale, it sounds like a great deal. But if stated in absolute terms, a $10,000 necklace is on sale for $5,000, that absolute number might only be a good deal if a person can afford that $5,000.

It is useful to state numbers as both relative and absolute values before making a judgement.  This might lead to different judgements being made.