To determine the rank of a score of [tex]\( X = 6 \)[/tex] among the given scores ```1, 1, 3, 6, 6, 6, 9```, we need to follow these steps:
1. Sort the Scores:
The given scores are already sorted in ascending order: [tex]\[1, 1, 3, 6, 6, 6, 9\][/tex]
2. Identify the Score [tex]\( X = 6 \)[/tex]:
We need to find the rank of the score [tex]\( X = 6 \)[/tex].
3. Determine the Rank:
The rank of a given score is determined by counting how many scores are less than that score and then adding 1 for the rank.
- The scores less than [tex]\( 6 \)[/tex] are [tex]\( 1, 1, 3 \)[/tex].
- There are three scores less than [tex]\( 6 \)[/tex].
4. Calculation:
We add 1 to the count of scores less than [tex]\( 6 \)[/tex]:
[tex]\[
\text{Rank} = 1 + \text{count of scores less than } 6 = 1 + 3 = 4
\][/tex]
5. Conclusion:
The rank assigned to a score of [tex]\( X = 6 \)[/tex] is [tex]\( 4 \)[/tex].
Thus, the rank assigned to the score of [tex]\( X = 6 \)[/tex] is [tex]\(\boxed{4}\)[/tex].
