Examine the three samples listed here. Without performing any calculations, indicate which sample has the largest amount of variation and which sample has the smallest amount of variation. Explain how you produced your answer.

a. 17 29 12 16 11

b. 22 18 23 20 17

c. 24 37 6 39 29

Thanks

B IS SMALLEST C IS GREATER VARIATION

To determine which sample has the largest and smallest amount of variation, you can calculate the range for each sample. The range is the difference between the largest and smallest values in a set of data.

Let's find the range for each sample:

a. The largest value in sample a is 29, and the smallest value is 11. Therefore, the range for sample a is 29 - 11 = 18.

b. The largest value in sample b is 23, and the smallest value is 17. The range for sample b is 23 - 17 = 6.

c. The largest value in sample c is 39, and the smallest value is 6. The range for sample c is 39 - 6 = 33.

Now, comparing the ranges, we can see that sample c has the largest range (33), indicating the highest amount of variation. On the other hand, sample b has the smallest range (6), suggesting the lowest amount of variation.

Therefore, sample c has the largest amount of variation, while sample b has the smallest amount of variation.

Look at the range. Is that performing calculations?