The total number of dots in the dot plot tells us the total number of observations of the values of that thing. The correct statement is B.
How does the dot plot work?
Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.
If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table. Thus, if it's written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 on the horizontal axis.
The statements for the given question are:
A) There is a gap in both plots.
B) There is a gap in Plot A, but not in Plot B.
C) The data is spread widely across both plots.
D) The data is spread widely across Plot B, but not across Plot A.
A gap in a dot plot is a space where there is no data point present for that particular value. Now, if the given data points are plotted as shown below, then it can be inferred from the given data point that there exists a gap in Plot A, but not in Plot B.
Hence, the correct statement is B.
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