Question

how many numbers are greater than 40?
stem | leaf
0 | 4
1 | 0, 7, 8
2 | 3, 3, 4, 7, 8
3 | 2, 2, 2, 3, 5, 7, 7
4 | 0, 0, 1, 1, 3
5 | 6, 7
options: 1 (red), 10 (blue), 3 (yellow), 5 (green)

Explanation:

Step1: Analyze stem values ≥4

We consider stems 4 and 5 (since numbers >40 have stem ≥4).

Step2: Count leaves for stem 4

Stem 4 has leaves: 0,0,1,1,3. Count: \( 5 \) numbers (40,40,41,41,43).

Step3: Count leaves for stem 5

Stem 5 has leaves: 6,7. Count: \( 2 \) numbers (56,57).

Step4: Total numbers >40

Sum counts: \( 5 + 2 = 7 \)? Wait, no—wait, the question is numbers greater than 40. Wait, stem 4: numbers are 40,40,41,41,43. Wait, 40 is not greater than 40, it's equal. Oh! Mistake. So stem 4: leaves are 0,0,1,1,3. So numbers: 40 (not >40), 40 (not >40), 41 (>40), 41 (>40), 43 (>40). So stem 4: 3 numbers (41,41,43). Stem 5: 56,57 (both >40), so 2 numbers. Total: \( 3 + 2 = 5 \). Wait, let's re-express:

Stem-and-leaf: stem is tens place, leaf is ones. So number = stem×10 + leaf.

For stem 0: 0×10 +4=4 (≤40)
Stem 1: 10,17,18 (≤40)
Stem 2: 23,23,24,27,28 (≤40)
Stem 3: 32,32,32,33,35,37,37 (≤40)
Stem 4: 40,40,41,41,43. Numbers >40: 41,41,43 (3 numbers)
Stem 5: 56,57 (both >40, 2 numbers)
Total: 3 + 2 = 5.

Answer:

5