Question

andy’s friends had a contest to see who could throw a football the farthest. andy measured the distances to the nearest foot and displayed the data on a stem - and - leaf plot. the plot showed that exactly 8 friends threw the football at least 30 feet. which could be andy’s stem - and - leaf plot?
football throws
f
stem | leaves
2 | 1 2 3 3 6
3 | 0 0 3 4 7
4 | 0 6 6 8
key
2|1 = 21 feet
football throws
h
stem | leaves
2 | 1 2 3 3 6 7
3 | 0 0 3 4 6 6 8
4 | 0
key
2|1 = 21 feet
football throws
g
stem | leaves
2 | 1 2 3 3 6 7 8
3 | 0 0 3 4 6 6
4 | 0
key
2|1 = 21 feet
football throws
j
stem | leaves
2 | 1 2 3 3 6 7 8
3 | 0 0 3 4 6
4 | 0 6
key
2|1 = 21 feet

Explanation:

Step1: Understand "at least 30 feet"

"At least 30 feet" means the distance is 30 feet or more. So we need to count the number of leaves in the stem rows where the stem is 3 or 4 (since stem 3 represents 30s, stem 4 represents 40s, etc.).

Step2: Analyze Option F

• Stem 3: Leaves are 0,0,3,4,7 → 5 leaves.
• Stem 4: Leaves are 0,6,6,8 → 4 leaves.
• Total: \( 5 + 4 = 9 \). Not 8.

Step3: Analyze Option H

• Stem 3: Leaves are 0,0,3,4,6,6,8 → 7 leaves.
• Stem 4: Leaves are 0 → 1 leaf.
• Total: \( 7 + 1 = 8 \). This matches.

Step4: Analyze Option G

• Stem 3: Leaves are 0,0,3,4,6,6 → 6 leaves.
• Stem 4: Leaves are 0 → 1 leaf.
• Total: \( 6 + 1 = 7 \). Not 8.

Step5: Analyze Option J

• Stem 3: Leaves are 0,0,3,4,6 → 5 leaves.
• Stem 4: Leaves are 0,6 → 2 leaves.
• Total: \( 5 + 2 = 7 \). Not 8.

Answer:

H. Football Throws (Stem 2: 1 2 3 3 6 7; Stem 3: 0 0 3 4 6 6 8; Stem 4: 0)