At the Olympic games, many events have several rounds of competition. One of these events is the men's 100-meter backstroke. The upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 Olympics. The lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. Which pieces of information can be gathered from these dot plots? (Remember that lower swim times are faster.) Choose all answers that apply: A:

The swimmers had faster times on average in the final round.

B:

The times in the final round vary noticeably more than the times in the semifinal round.

C:

None of the above.

Options A and B are correct.

- The swimmers had faster times on average in the final round.

- The times in the final round vary noticeably more than the times in the semifinal round.

Step-by-step explanation:

The dotplots for this question are missing. They were obtained online and the full question is attached to this solution. Although the dotplots aren't extremely clear, the required information from them is readily obvious.

Note again that the final dotplot is on top in green background and the semifinal dotplot is in the lower part in blue background.

From the dotplot, we do not need to calculate, we can see that the middle of the semifinal dotplot is greater than the middle of the final dotplot. indicating that the swimmers finished earlier in the final round and that the swimmers had faster times on average in the final round. So, statement A is correct.

We can also see that the swimming times in the semifinal distribution is less spread out than in the final round indicating that the times in the final round vary noticeably more than the times in the semifinal round. So, statement B too, is correct.

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