A teacher wants to find out which of two grade 12 classes performed better in the Trial Exams. The Trial Exam was out of 100.

Grade 12A Scores:
57, 60, 85, 20, 48, 60, 70, 75, 33, 48, 76, 15, 35, 46, 60, 68, 70, 60, 45, 90, 85, 50

Grade 12B Scores:
20, 29, 33, 35, 35, 40, 45, 46, 46, 56, 56, 56, 60, 60, 60, 60, 70, 85, 95

Tasks:

3.1 Write down the minimum value for Grade 12B. (2 points)

3.2 Calculate the median for Grade 12A. (3 points)

3.3 Calculate the mean for Grade 12B. (3 points)

3.4 Calculate the probability of a learner getting above 80% in Grade 12B. Write your answer as a percentage. (3 points)

3.5 Is the data of the test results discrete or continuous? Give a reason for your answer. (3 points)

3.6 Calculate the range of Grade 12B.

To compare two grade 12 classes' performance in Trial Exams, we calculated the minimum value, median, and mean for each class, as well as the probability of scoring above 80% for class 12B. The test results are discrete data, and the range for class 12B was also determined.

Explanation:

Here are the answers to the student's questions regarding the performance of two grade 12 classes in the Trial Exams:

Minimum Value for 12B: The minimum value for class 12B is 20.
Median for 12A: To find the median, we list all the scores in order and find the middle value.

For 12A, this is 60, since it's the middle value when all 22 scores are listed in numerical order.

Mean for 12B: The mean is found by adding all the scores and dividing by the number of scores.

For 12B, the mean is 69.05.

Probability above 80% for class B: To find this probability, count the number of scores above 80 and divide by the total number of scores.

For 12B, there are 3 scores above 80 out of 20, giving us a probability of 0.15, which is 15%.

Data Type: Discrete or Continuous?: Test results are typically considered discrete data because they can only take on certain values within a range (whole numbers between 0 and 100).
Range of 12B: The range is the difference between the highest and lowest scores.

For 12B, it is 100 - 20 = 80.