Question

laps per day
the dot plot shows the number of laps per day a swim team completes. luca described the data as having a spread from 10 to 60, a gap at 40, and a peak at 60. where did luca make an error?
○ luca did not make an error.
○ the spread is from 1 to 6.
○ there is no gap in this data set.
○ the peak is at 10.

Explanation:

Step1: Analyze the dot plot

The dot plot has data points at 10, 20, 30, 40, 50, 60. Each has dots, so no gap (since all values from 10 to 60 have data). Luca said there's a gap at 40, but 40 has dots. Also, spread: the values are 10 - 60? Wait, no, the x - axis labels are 10,20,30,40,50,60. Wait, the number of dots: let's check each. 10:1 dot, 20:2 dots, 30:3 dots, 40:2 dots, 50:3 dots, 60:6 dots? Wait, no, looking at the plot: 10 (1), 20 (2), 30 (3), 40 (2), 50 (3), 60 (6). Wait, but the key is about gap. At 40, there are dots, so no gap. Luca said gap at 40, which is wrong. Also, check the options: "There is no gap in this data set." Let's verify each option:

• Option 1: Luca did make an error, so no.
• Option 2: The spread is from 10 to 60 (since x - axis is 10,20,...60), not 1 - 6. So this is wrong.
• Option 3: Looking at the dot plot, each value (10,20,30,40,50,60) has dots. So no gap. Luca said gap at 40, which is incorrect. So this option is correct.
• Option 4: The peak is at 60 (most dots at 60), so this is wrong.

Step2: Evaluate each option

• "Luca did not make an error." → Incorrect, since he claimed a gap at 40 when there is none.
• "The spread is from 1 to 6." → The x - axis is labeled 10,20,...60, so spread is 10 - 60, not 1 - 6. Incorrect.
• "There is no gap in this data set." → Correct, because 40 has dots (data points), so no gap. Luca's claim of a gap at 40 is wrong.
• "The peak is at 10." → 10 has 1 dot, 60 has more, so peak is at 60, so this is wrong.

Answer:

There is no gap in this data set.