1. The problem asks which measures of position divide a distribution into 100 equal parts. 2. Measures of position are values that divide a data set into equal parts. 3. Quartiles divide the data into 4 equal parts. 4. Deciles divide the data into 10 equal parts. 5. Percentiles divide the data into 100 equal parts. 6. The range measures the difference between the maximum and minimum values and does not divide the data into equal parts. 7. Therefore, the correct answer is percentiles, as they divide the distribution into 100 equal parts.