Question

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:

• Spread: The spread of a data set in a dot - plot is determined by the minimum and maximum values. Looking at the dot - plot, the minimum value is \(10\) and the maximum value is \(60\). So, the spread is from \(10\) to \(60\), not from \(1\) to \(6\).
• Gap: A gap in a dot - plot is a region where there are no data points. In the given dot - plot, there are data points at every interval from \(10\) to \(60\). So, there is no gap at \(40\) (or anywhere else).
• Peak: The peak of a dot - plot is the value with the most number of data points. In the given dot - plot, the value \(60\) has the most number of dots (the highest frequency), so the peak is at \(60\).

Answer:

There is no gap in this data set.