Find the mean , median and mode of the following score 2,2,2,3,4,7,5,5,1,3

Step 1: Arrange the scores in ascending order. The given scores are 2, 2, 2, 3, 4, 7, 5, 5, 1, 3. Arranged in ascending order: 1, 2, 2, 2, 3, 3, 4, 5, 5, 7. There are 10 scores in total.

Step 2: Calculate the Mean. The mean is the sum of all scores divided by the number of scores. $Mean = \frac{1+2+2+2+3+3+4+5+5+7}{10} = \frac{34}{10} = 3.4$ The mean is $\boxed{3.4}$.

Step 3: Calculate the Median. The median is the middle value of the ordered data set. Since there are 10 scores (an even number), the median is the average of the two middle scores (the 5th and 6th scores). Ordered scores: 1, 2, 2, 2, 3, 3, 4, 5, 5, 7. The 5th score is 3 and the 6th score is 3. $Median = \frac{3+3}{2} = \frac{6}{2} = 3$ The median is $\boxed{3}$.

Step 4: Calculate the Mode. The mode is the score that appears most frequently in the data set. In the ordered set (1, 2, 2, 2, 3, 3, 4, 5, 5, 7), the score 2 appears three times, which is more than any other score. The mode is $\boxed{2}$.