Question

I have a ratio that in total doesn't equal to 100%, how would you explain the reason for that? The data is of 13 people. I have data Male 8 people= 61.54%, Female 5 people = 38.36%;//// Unemployed 6 people=46.15%, Food industry 3 people 23.08%;//// British 2 people=15.38%, Chinese 5 people 38.46%, Hispanic 3 people=23.08%////Agnostic 5 people=38.46%, Christian 5 people=38.46%. When you add each section those equal to 100%. But when I have England 2 people=15.38%, USA 2 people=15.38%, China 5 people 38.46% I'm off by 0.01%. 15.38+15.38+38.46=69.22; so 100-69.22=30.78. The 4 people out of 13 people would equal 30.77. So I'm off 0.01%.

Answer 1

I have a ratio that in total doesn't equal to 100%, how would you explain the reason for that? The data is of 13 people. I have data Male 8 people= 61.54%, Female 5 people = 38.36%;//// Unemployed 6 people=46.15%, Food industry 3 people 23.08%;//// British 2 people=15.38%, Chinese 5 people 38.46%, Hispanic 3 people=23.08%////Agnostic 5 people=38.46%, Christian 5 people=38.46%. When you add each section those equal to 100%.

But when I have England 2 people=15.38%, USA 2 people=15.38%, China 5 people 38.46% I'm off by 0.01%. 15.38+15.38+38.46=69.22; so 100-69.22=30.78. The 4 people out of 13 people would equal 30.77. So I'm off 0.01%.

That is due to round off at 2 decimal places.

If we take three decimals, we are off by 0.001% and four decimals, we are off by 0.0001%

The below table shows upto 5 decimals.

	n	percentage at 2 decimals	3 decimals	4 decimals	5 decimals
England	2	15.38	15.385	15.3846	15.38462
USA	2	15.38	15.385	15.3846	15.38462
China	5	38.46	38.462	38.4615	38.46154
Others	4	30.77	30.769	30.7692	30.76923
Total	13	99.99	100.001	99.9999	100.00001