Question

the baltimore ravens won the american football championship in 2013. in the same season, the kansas city chiefs had a record of 2 wins and 14 losses.

the dot plots below show the 40-yard dash times (in seconds) of the defensive backs on each teams roster. defensive backs mainly defend against passes, and the 40-yard dash is the main measure of speed used in american football.

dot plot: baltimore ravens and kansas city chiefs dot plots with time (seconds) axis 4.3–4.6

which pieces of information can be gathered from these dot plots? (remember that lower 40-yard dash times are faster.)

Explanation:

To solve this, we analyze the dot plots:

Step 1: Analyze Spread (Range)

• Baltimore Ravens: Dots start at ~4.3 and go to ~4.5 - 4.6? Wait, no—wait, the x - axis is 4.3, 4.4, 4.5, 4.6. Ravens have dots at lower (faster) times (left) and some at higher. Chiefs’ dots are more clustered around 4.4 - 4.5 - 4.6? Wait, no—wait, lower time is faster. Ravens have dots at 4.3 (two dots), then a dot, then 4.4, 4.5, etc. Chiefs have dots starting at 4.4. So Ravens have a wider range (from ~4.3 to ~4.6), Chiefs are more clustered (from 4.4 to ~4.6).

Step 2: Analyze Center (Median/Mean)

• Median: For Ravens, count dots. Let's say Ravens have: 2 (at 4.3), 1 (next), 1 (4.4), 1 (next), 2 (4.5), 2 (next). Total dots: 2 + 1+1 + 1+2 + 2 = 9? Wait, maybe. Chiefs: 2 (4.4), 2 (next), 2 (4.5), 1 (4.6). Total: 2 + 2+2 + 1 = 7? Wait, maybe. But the key is: Ravens have more dots at lower (faster) times (4.3), so their median time is faster (lower) than Chiefs.

Step 3: Analyze Speed (Faster/Slower)

• Since lower time = faster, Ravens’ defensive backs have more dots at lower times (e.g., 4.3) than Chiefs (who start at 4.4). So Ravens’ defensive backs are, on average, faster.

Step 4: Analyze Consistency (Spread)

• Chiefs’ dots are more clustered (less spread out) around 4.4 - 4.5, while Ravens’ dots are more spread out (from 4.3 to 4.6). So Chiefs have more consistent 40 - yard dash times.

Possible Information:

• The Baltimore Ravens’ defensive backs have a faster median 40 - yard dash time (lower time) than the Kansas City Chiefs’ defensive backs.
• The Kansas City Chiefs’ defensive backs have more consistent (less spread - out) 40 - yard dash times than the Baltimore Ravens’ defensive backs.
• The Baltimore Ravens’ defensive backs have a wider range of 40 - yard dash times (more spread out) than the Kansas City Chiefs’ defensive backs.

(Note: The exact analysis depends on counting dots, but the key takeaways are about speed (median), spread (range/consistency) from the dot plots.)

Answer:

To solve this, we analyze the dot plots:

Step 1: Analyze Spread (Range)

• Baltimore Ravens: Dots start at ~4.3 and go to ~4.5 - 4.6? Wait, no—wait, the x - axis is 4.3, 4.4, 4.5, 4.6. Ravens have dots at lower (faster) times (left) and some at higher. Chiefs’ dots are more clustered around 4.4 - 4.5 - 4.6? Wait, no—wait, lower time is faster. Ravens have dots at 4.3 (two dots), then a dot, then 4.4, 4.5, etc. Chiefs have dots starting at 4.4. So Ravens have a wider range (from ~4.3 to ~4.6), Chiefs are more clustered (from 4.4 to ~4.6).

Step 2: Analyze Center (Median/Mean)

• Median: For Ravens, count dots. Let's say Ravens have: 2 (at 4.3), 1 (next), 1 (4.4), 1 (next), 2 (4.5), 2 (next). Total dots: 2 + 1+1 + 1+2 + 2 = 9? Wait, maybe. Chiefs: 2 (4.4), 2 (next), 2 (4.5), 1 (4.6). Total: 2 + 2+2 + 1 = 7? Wait, maybe. But the key is: Ravens have more dots at lower (faster) times (4.3), so their median time is faster (lower) than Chiefs.

Step 3: Analyze Speed (Faster/Slower)

• Since lower time = faster, Ravens’ defensive backs have more dots at lower times (e.g., 4.3) than Chiefs (who start at 4.4). So Ravens’ defensive backs are, on average, faster.

Step 4: Analyze Consistency (Spread)

• Chiefs’ dots are more clustered (less spread out) around 4.4 - 4.5, while Ravens’ dots are more spread out (from 4.3 to 4.6). So Chiefs have more consistent 40 - yard dash times.

Possible Information:

• The Baltimore Ravens’ defensive backs have a faster median 40 - yard dash time (lower time) than the Kansas City Chiefs’ defensive backs.
• The Kansas City Chiefs’ defensive backs have more consistent (less spread - out) 40 - yard dash times than the Baltimore Ravens’ defensive backs.
• The Baltimore Ravens’ defensive backs have a wider range of 40 - yard dash times (more spread out) than the Kansas City Chiefs’ defensive backs.

(Note: The exact analysis depends on counting dots, but the key takeaways are about speed (median), spread (range/consistency) from the dot plots.)