The table below shows the continuous assement scores obtained by 30 selected ss1 students in economics.
scores 1-5 6-10 11-15 16-20 21-25 26-30
frequency 2 5 3 10 8 2
(a) determine the mean score of the students.
(b) calculate the modal score.
2 answers
answer?
(a) To determine the mean score of the students, we need to calculate the midpoint of each score interval and multiply it by the corresponding frequency. Then we add up all these products and divide by the total frequency.
Midpoint of interval 1-5 = (1+5)/2 = 3
Midpoint of interval 6-10 = (6+10)/2 = 8
Midpoint of interval 11-15 = (11+15)/2 = 13
Midpoint of interval 16-20 = (16+20)/2 = 18
Midpoint of interval 21-25 = (21+25)/2 = 23
Midpoint of interval 26-30 = (26+30)/2 = 28
Mean score = (2x3 + 5x8 + 3x13 + 10x18 + 8x23 + 2x28) / 30
Mean score = 15.6
Therefore, the mean score of the students is 15.6.
(b) The modal score is the score that appears most frequently in the data. From the table, we see that the highest frequency is 10, which corresponds to the score interval 16-20. Therefore, the modal score is 16-20.
Midpoint of interval 1-5 = (1+5)/2 = 3
Midpoint of interval 6-10 = (6+10)/2 = 8
Midpoint of interval 11-15 = (11+15)/2 = 13
Midpoint of interval 16-20 = (16+20)/2 = 18
Midpoint of interval 21-25 = (21+25)/2 = 23
Midpoint of interval 26-30 = (26+30)/2 = 28
Mean score = (2x3 + 5x8 + 3x13 + 10x18 + 8x23 + 2x28) / 30
Mean score = 15.6
Therefore, the mean score of the students is 15.6.
(b) The modal score is the score that appears most frequently in the data. From the table, we see that the highest frequency is 10, which corresponds to the score interval 16-20. Therefore, the modal score is 16-20.
1 answer