A local ice cream chain displayed data from the number of ice cream cones in its 12 stores each sold in a given day. The company wanted to compare sales from Monday and Tuesday. The number of cones sold each day is shown in the following box plots:

Which of the following is a TRUE statement?

(1 point)
Responses

The median number of ice cream cones sold was lower on Monday than on Tuesday.
The median number of ice cream cones sold was lower on Monday than on Tuesday.

The maximum number of ice cream cones sold was lower on Monday than on Tuesday.
The maximum number of ice cream cones sold was lower on Monday than on Tuesday.

The interquartile range for Monday's ice cream sales was greater than the interquartile range for Tuesday's sales.
The interquartile range for Monday's ice cream sales was greater than the interquartile range for Tuesday's sales.

The stores with maximum sales on Monday were the same as those on Tuesday.
The stores with maximum sales on Monday were the same as those on Tuesday.
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1 answer

To determine which of the statements is true based on the box plots for ice cream sales on Monday and Tuesday, we need to analyze the following aspects typically represented in box plots:

  1. Median: The line inside the box shows the median value of the data for each day.
  2. Maximum: The rightmost line (whisker tip) represents the maximum value.
  3. Interquartile Range (IQR): The length of the box indicates the IQR, which is the difference between the first (Q1) and third (Q3) quartiles.
  4. Outliers: Any individual points that lie outside the whiskers.

Without the actual box plots to visualize, here is how to assess the statements:

  1. Median Comparison: If the median line for Monday is lower than that for Tuesday, then this statement is true. You will need to check the position of the median lines.

  2. Maximum Comparison: If the maximum line for Monday is lower than that for Tuesday, then this statement is true. Again, you will need to check the end points of the whiskers.

  3. Interquartile Range (IQR) Comparison: For this statement to be true, the length of the box (IQR) for Monday must be greater than that for Tuesday. You can measure the box heights directly from the plots.

  4. Maximum Stores Comparison: This statement would require knowing if the maximum values correspond to the same stores on both days. This cannot be established just from the box plots.

To find the true statement, refer to the actual box plots and compare the metrics listed above. If you do not have access to the box plots, you won't be able to determine which statement is true. Based on the provided descriptions of the statements, you can analyze and conclude once you have access to the visual data.