Grade 9 - Data Handling: Mean, Median, Mode & Range

Instructions: Show all calculations for mean. Sort data before finding median. List all modes if more than one exists.

Section A: Raw Data (8 marks)

The marks (out of 20) scored by 10 students in a test are:

$14;\; 9;\; 17;\; 12;\; 9;\; 15;\; 18;\; 11;\; 9;\; 16$

1. Write the data in ascending order. (1)

2. Calculate the mean. (2)

3. Find the median. (2)

4. Find the mode. (1)

5. Calculate the range. (1)

6. A new student scored 20. Would this increase or decrease the mean? Explain. (1)

Section B: Frequency Table (8 marks)

1. Complete the cumulative frequency column. (2)

2. How many students wrote the test? (1)

3. Calculate the mean score. (3)

4. What is the modal score? (1)

5. In which score group does the median fall? (1)

Section C: Interpretation (4 marks)

Class A mean = 62%. Class B mean = 67%. Class A range = 45. Class B range = 12.

1. Which class performed better overall? Give a reason. (2)

2. Which class had more consistent results? Give a reason. (2)

Total: 20 marks