- The third cut point is the custom value of 8. Recall that this test value is actually the first of the two modes of the distribution.

- There are 11 observed runs with this cut point. The Z value is 0, indicating that 11 runs were expected by chance alone.

- As with a mode of 12, we cannot reject the null hypothesis that the order of the ratings above and below the modal value of 8 is random.

These test tables demonstrate that the results of the runs test may depend on your choice of cut point. In this example, the order of the ratings with respect to the median is not random. On the other hand, the same ratings do not show any order with respect to either modal value.