A sample of 100 resistors has an average resistance of 50 and a standard deviation of

A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of 5 Ω. A second sample of 100 resistors has an average resistance of 100 Ω and a standard deviation of 5 Ω. If the two samples are combined, the standard deviation of all 200 resistances will be _______________.

i. Less than 5 Ω

ii. Greater than 5 Ω

iii. Equal to 5 Ω

iv. Can’t tell from the information given Don’t do any calculations. Just try to sketch, very roughly, histograms for each sample separately, then for the combined sample.