Question

heights of pepper plants

3 4 5 6 7 8 9 10
height (in.)
based on the graph, which statement about the heights of the pepper plants is true?
more than half of the plants are taller than 6 inches.
fewer than one - quarter of the plants are taller than 4 inches and shorter than 7 inches.
more than half of the plants are less than 6 inches tall.
fewer than one - quarter of the plants are taller than 7 inches and shorter than 10 inches.

Explanation:

Step1: Count total plants

Count all the 'x's: At 3: 4, 4:1, 5:3, 6:2, 7:1, 8:3, 9:1, 10:2. Total = 4+1+3+2+1+3+1+2 = 17? Wait, re - count:
3: x x x x (4)
4: x (1) → total 5
5: x x x (3) → total 8
6: x x (2) → total 10
7: x (1) → total 11
8: x x x (3) → total 14
9: x (1) → total 15
10: x x (2) → total 17. Wait, maybe better to count row - by - row. The bottom row (the most frequent) has 8 x's? Wait, looking at the graph:

Row 1 (top): 1 x (3), 0 (4), 1 (5), 0 (6), 0 (7), 1 (8), 0 (9), 0 (10) → 3 x's? No, the first column (3) has 4 x's (four rows), column 4 has 1, column 5 has 3, column 6 has 2, column 7 has 1, column 8 has 3, column 9 has 1, column 10 has 2. So total: 4 + 1+3 + 2+1 + 3+1 + 2=17.

Step2: Analyze each option

• Option 1: Taller than 6 inches. Heights >6: 7,8,9,10. Count: 1 (7)+3 (8)+1 (9)+2 (10)=7. 7/17≈0.41 <0.5. So false.
• Option 2: Taller than 4 and shorter than 7: heights 5,6. Count: 3 (5)+2 (6)=5. 5/17≈0.29. One - quarter of 17 is 4.25. 5>4.25. So "fewer than one - quarter" is false.
• Option 3: Less than 6 inches: heights 3,4,5. Count: 4 (3)+1 (4)+3 (5)=8. 8/17≈0.47 <0.5. So "more than half" is false.
• Option 4: Taller than 7 and shorter than 10: heights 8,9. (10 is not shorter than 10, so 8,9). Count: 3 (8)+1 (9)=4. One - quarter of 17 is 4.25. 4 <4.25. So "fewer than one - quarter" is true.

Answer:

Fewer than one - quarter of the plants are taller than 7 inches and shorter than 10 inches. (The option statement)