3. Table frequency table below shows the exam scores of 100 randomly selected students from the statistics class: Score Frequency 21 - 40 24 41 - 60 3y+9 61 - 80 26 81 - 100 2y-4 (a) Find the value of mean, mode and standard deviation of the exam score. (9 m) (b) By comparing the values of mean and mode, what can you say about the skewness of this data? Justify your answer with the Pearson's measure of skewness. wwwwwwwwwww (3 m) (c) The mean and standard deviation of the exam score of mathematics for the same group of I. students are 53 and 21.5 respectively. Determine which subject has relatively more dispersed exam score. Justify your answer. (5 m (CLO1:PLO1:C4) (CLO1:PLO2:C4)4. Table below shows the weight of 80 honeydews harvested from a farm called Fruitful. Weight (kg) Frequency 1-3 y-3 3-5 y+3 5-7 17 7-9 3y-6 9 - 11 2y-1 (a) Find the mean and median for this dataset, (6 m) H (b) Find the variance and standard deviation for this dataset (4 m) (c) By comparing the values of mean and median, what can you say about the skewness of this data? Justify your answer with the Pearson's measure of skewness. (3 m) (d) A farm called BigFruit produces honeydew with a mean weight of 5.2kg and standard deviation of 1.8kg. Which farm shows a more consistent weight in their honeydew produce? Justify your answer. (5 m)