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The line plot represents the sales of rose bouquets at a local market.

A horizontal line labeled Number of Rose Bouquets that starts at 1 with tick marks every one unit up to 10. There is one dot above 1 and 10. There are two dots above 6, 7 and 9. There are three dots above 8. The graph is titled Roses Purchased Per Day.

Which of the following describes the spread and distribution of the data represented?

The data is almost symmetric, with a range of 9. This might happen because the market offers a special price when 5 bouquets are purchased.
The data is skewed, with a range of 9. This might happen because the bouquets were purchased around a holiday when flowers are popular gifts.
The data is bimodal, with a range of 10. This might happen because the market offers a buy one get one free special if you purchase 4 or 8 bouquets.
The data is symmetric, with a range of 10. This might happen because the market has been having trouble getting bouquets in, due to the weather, and sales are low.

1 answer

Based on the description of the line plot, we can deduce the following about the spread and distribution of the data:

  • There are no values for 2, 3, 4, 5, and 10 (no dots above these numbers).
  • There is a single dot at 1 and 10, indicating fewer sales at both the low and high ends.
  • The highest number of sales appears at 8 (three dots), followed by 7 and 9 (two dots each), which indicates a concentration of sales in the middle of the range.

Given these points, the data appears to have two modes: one lower (1) and another higher concentration around 6 to 9, especially peaking at 8. This suggests that the data is bimodal, as there are distinct peaks at 6-9 and another at 1.

Thus, the correct option that describes the spread and distribution of the data is:

The data is bimodal, with a range of 10. This might happen because the market offers a buy one get one free special if you purchase 4 or 8 bouquets.

This option aligns with the observations of the distribution and the reasoning about purchasing behaviors related to special promotions.