Stem and leaf diagrams Example drawing a stem

Example - drawing a stem and leaf Question: - 29 students were set a

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram

Example - drawing a stem and leaf Answer (b): - Completion times 4|7 means

Example - drawing a stem and leaf Answer (b): Range = Highest - Lowest

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Stem and leaf diagrams

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median time taken Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 stem 4 5 6 7 leaf

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 5 6 7 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 5 6 7 1

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 5 3 6 1 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 5 3 6 1 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 5 3 6 1 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 5 3 6 1 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 5 3 6 1 8 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 6 1 8 7

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 6 1 8 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 7 6 1 8 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 5 3 7 6 1 8 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 5 3 7 4 6 1 8 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 5 3 7 4 6 1 8 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 5 3 7 4 6 1 8 3 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 5 3 7 4 6 1 8 3 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 6 1 8 3 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 8 6 1 8 3 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 8 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 5 3 7 4 8 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median, quartiles and inter-quartile range Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 5 3 7 4 8 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 3 7 4 8 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 3 7 4 8 1 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 5 3 7 4 8 1 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 5 3 7 4 8 1 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 5 3 7 4 8 1 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 5 3 7 4 8 1 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 5 3 7 4 8 1 2 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 5 3 7 4 8 1 2 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2

Example - drawing a stem and leaf Question: - 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a): - (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 (3) re draw diagram with leafs in numerical order:

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 4 5 6 7

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 4 5 6 7 8

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 5 6 7

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 5 6 7

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 5 6 7

Example - drawing a stem and leaf Answer (a): - (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times Don’t forget the key 4|7 means 47 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7 2

Example - drawing a stem and leaf Answer (b): - Completion times 4|7 means 47 15 th 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7 2 The median is the middle value: There are 29 values i. e. 15 th value Median = 47

Example - drawing a stem and leaf Answer (b): Range = Highest - Lowest Completion times Lowest Highest 4|7 means 47 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7 2 Range = 72 – 38 = 34