Answer :
To find the mode, we look for the most frequent score. In this case, it's 3, as it appears 6 times. So, the mode is 3.
To find the median, we arrange the scores in ascending order and find the middle value. The total frequency is 30 (sum of all frequencies). The cumulative frequency at the midpoint (15th position) is in the interval 2 to 3. Since 15 falls within the interval 4 to 6, the median lies within the score of 3.
To calculate the mean, we multiply each score by its frequency, sum these products, and divide by the total frequency. The calculation looks like this:
Mean = (0*2 + 1*3 + 2*4 + 3*6 + 4*1 + 5*4 + 6*2 + 7*2 + 8*1 + 9*3 + 10*2) / 30
Mean = (0 + 3 + 8 + 18 + 4 + 20 + 12 + 14 + 8 + 27 + 20) / 30
Mean = 134 / 30
Mean = 4.47
So, the mode is 3, the median is 3, and the mean is approximately 4.47.
To find the median, we arrange the scores in ascending order and find the middle value. The total frequency is 30 (sum of all frequencies). The cumulative frequency at the midpoint (15th position) is in the interval 2 to 3. Since 15 falls within the interval 4 to 6, the median lies within the score of 3.
To calculate the mean, we multiply each score by its frequency, sum these products, and divide by the total frequency. The calculation looks like this:
Mean = (0*2 + 1*3 + 2*4 + 3*6 + 4*1 + 5*4 + 6*2 + 7*2 + 8*1 + 9*3 + 10*2) / 30
Mean = (0 + 3 + 8 + 18 + 4 + 20 + 12 + 14 + 8 + 27 + 20) / 30
Mean = 134 / 30
Mean = 4.47
So, the mode is 3, the median is 3, and the mean is approximately 4.47.