What is the arithmetic mean for this data set?

1, 10, 4, 6, 3, 10, 6, 9

A) 0

B) 6.125

C) 6

D) 6.475

To calculate the arithmetic mean, add up all the numbers in the data set and then divide by the number of values.

(1 + 10 + 4 + 6 + 3 + 10 + 6 + 9) / 8 = 39 / 8 = 4.875

Therefore, the arithmetic mean for this data set is 4.875, which is not an option provided.