To determine which two statements best describe the data represented in the box plot, we need to analyze the definitions of the terms used in these statements related to box plots:
- Median: This is the middle value of the dataset. In a box plot, it is typically represented by a line inside the box.
- Interquartile Range (IQR): This is the range of the middle 50% of the data. It is calculated as the difference between the first quartile (Q1, 25th percentile) and the third quartile (Q3, 75th percentile).
- Range: This is the difference between the maximum and minimum values in the dataset.
- Statements about ages (e.g., "Half the people in line...") refer to the median and quartiles in the box plot.
From the options provided:
- A might be true if the median was between 47 and 70, suggesting that half are within these ages.
- B is related to a specific mean, but box plots typically do not provide information about the mean directly.
- C could refer to the IQR if the difference between Q1 and Q3 is indeed 60.
- D could refer to the range, which is defined as the difference between the highest and lowest ages.
- E is a claim about a specific age being the median, which does not relate to the typical box plot description.
- F provides a specific median age statement.
Without seeing the actual box plot, it is difficult to verify the truth of each statement. However, generally, the statements that are likely to be the best descriptions based on the nature of box plots are often related to the median and the overall range of ages.
So, the most generally applicable responses without the visual data are likely A (if the median falls between 47 and 70) and D (if the range is indeed 60).
If you have the specific box plot values, you could more accurately assess the truth of these statements.