Question

without making any calculations, which distribution of data has the smallest standard deviation?
1, 1, 1, 2, 2, 2
1, 1, 1, 1, 2, 2
1, 1, 1, 1, 1, 2
1, 1, 1, 1, 1, 1

Explanation:

Standard deviation measures the spread of data. A smaller spread (more clustered data) means a smaller standard deviation. Among the options, the data set \(1,1,1,1,1,1\) has no variation (all values are the same), so it has the least spread.

Answer:

\(1,1,1,1,1,1\)