Question 1: Arrange the following data in ascending order: 45, 32, 57, 29, 41.

Answer: 29, 32, 41, 45, 57

Question 2: Construct a stem-and-leaf diagram for the data set: 23, 27, 24, 29, 25.

Answer: Stem: 2 | Leaves: 3,4,5,7,9

Question 3: Identify the common error in the following stem-and-leaf diagram: Stem: 2 | Leaves: 1, 3, 4 Stem: 3 | Leaves: 2, 4, 5 The data in the second stem is not ordered correctly. Correct it and explain your mistake.

Answer: Corrected stem: 3 | Leaves: 2, 4, 5. The mistake was that the leaves were not in order; they should be sorted from smallest to largest.

Question 4: Given the data: 56, 53, 58, 55, 57. Create a stem-and-leaf diagram and identify any errors in the ordering of leaves.

Answer: Stem: 5 | Leaves: 3, 5, 7, 8. Error: leaves are in correct order; no mistake.

Question 5: Why is it important to order leaves from smallest to largest when creating a stem-and-leaf diagram? Explain with an example.

Answer: Ordering ensures easy reading and accurate interpretation of data distribution. For example, unordered leaves (3, 5, 2) can be confusing; sorted leaves (2, 3, 5) clearly show the data spread.

Question 6: Plot the stem-and-leaf diagram for the data: 41, 42, 44, 45, 48. Then, identify any errors in the ordering.

Answer: Stem: 4 | Leaves: 1, 2, 4, 5, 8. No errors; leaves are in increasing order.

Question 7: A student arranges the data 33, 36, 31, 35, 34 but writes the stem-and-leaf with leaves: 3, 5, 4, 6, 1. Identify and correct their mistake.

Answer: The mistake is that the leaves are not ordered. Correct order: 1, 3, 4, 5, 6.

Question 8: Create a stem-and-leaf diagram for the data: 66, 67, 70, 68, 69. Order the leaves correctly and explain why.

Answer: Stem: 6 | Leaves: 6, 7, 8, 9. Ordered from smallest to largest for clarity and accuracy.

Question 9: Explain a common mistake when creating stem-and-leaf diagrams and how to avoid it.

Answer: A common mistake is not ordering leaves from smallest to largest, which can misrepresent data distribution. Always sort leaves after listing them.

Question 10: Given the data: 88, 85, 90, 87, 86. Construct the stem-and-leaf diagram and verify the order of leaves.

Answer: Stem: 8 | Leaves: 5, 6, 7, 8, 9. Leaves are in order; no mistake.

Question 11: Using the data: 72, 75, 78, 76, 73, identify the error if the leaves were written as 2, 5, 8, 6, 3 and correct it.

Answer: The error is in the order of leaves; correct order: 2, 3, 5, 6, 8.