Question 1: Explain the purpose of the 'Key' in a stem and leaf diagram. Why is it important?

Answer: The key explains what the numbers in the diagram represent, helping interpret the data accurately.

Question 2: Construct a stem and leaf diagram for the following data: 12, 15, 13, 19, 16, 14. Write an appropriate key.

Answer: Stem: 1 | 2 3 4 5 6 9; Key: 'Stem = tens digit, leaf = units digit'

Question 3: Identify the mistake: The key for a data set showing age groups is written as '0-9, 10-19...' instead of explaining the numbers in the stem and leaf diagram. Explain why this is incorrect.

Answer: Because it describes data ranges, not how to interpret the numbers in the diagram; the key should explain the digits' meanings.

Question 4: Create a stem and leaf diagram for the data: 23, 27, 25, 30, 29, 21. Include a suitable key.

Answer: Stem: 2 | 1 3 5 7; 3 | 0 9; Key: 'Stem = tens digit, leaf = units digit'

Question 5: Why is it important to choose an appropriate key when creating a stem and leaf diagram?

Answer: An appropriate key ensures accurate interpretation of the data; an incorrect key can lead to misreading the diagram.

Question 6: Given the data: 45, 47, 52, 49, 51, 48, construct a stem and leaf diagram with a clear key. Then, explain what the key communicates.

Answer: Stem: 4 | 5 7 8 9; 5 | 1 2; Key: 'Stem = tens digit, leaf = units digit'

Question 7: A stem and leaf diagram shows the following key: 'Stem = tens digit, leaf = units digit'. The data set is: 36, 37, 39, 42, 44, 43. What does the key tell you about the data?

Answer: The tens digit indicates the tens place, and the leaf indicates the units digit, helping to interpret the data set's structure.

Question 8: Construct a stem and leaf diagram for the data: 81, 83, 85, 82, 88, 84. Use a key that clearly explains the data.

Answer: Stem: 8 | 1 2 3 4 5 8; Key: 'Stem = tens digit, leaf = units digit'

Question 9: In a stem and leaf diagram, students used the key 'Tens: , Units: '. Identify the flaw and suggest an improvement.

Answer: The key does not specify what the numbers represent; an improved key should state 'Stem = tens digit, leaf = units digit'.

Question 10: A data set contains ages: 22, 23, 24, 25, 26. Construct a stem and leaf diagram with a suitable key.

Answer: Stem: 2 | 2 3 4 5 6; Key: 'Stem = tens digit, leaf = units digit'

Question 11: Challenge: Create a stem and leaf diagram for the data: 91, 94, 97, 99, 92, 96. Write an appropriate key and explain how it helps interpret the data.

Answer: Stem: 9 | 1 2 4 6 7 9; Key: 'Stem = tens digit, leaf = units digit'. It shows the data grouped by tens, with each leaf indicating units, making patterns clear.