Question

Without making any calculations, which distribution of data has the largest standard deviation?

O 1, 1, 1, 1, 4, 4, 7,7,7,7
O 1, 1, 1, 4, 4, 4, 4,7,7,7
O 1, 1, 4, 4, 4, 4, 4, 4, 7, 7
O 1, 4, 4, 4, 4, 4, 4, 4, 4, 7

Answer 1

Answer:

O 1, 1, 1, 1, 4, 4, 7, 7, 7, 7

Step-by-step Explanation Without making any calculations, we can use our intuition to determine which distribution of data has the largest standard deviation.

We know that the standard deviation measures the spread of the data, so the distribution with the largest range of values should have the largest standard deviation.

Looking at the options, we can see that the distribution with the largest range of values is:

1, 1, 1, 1, 4, 4, 7, 7, 7, 7

This distribution has values ranging from 1 to 7, while the other distributions have smaller ranges. Therefore, we can conclude that this distribution has the largest standard deviation.