The dot plot shows the wing lengths in millimeters for ten birds.
Which statement is NOT supported by the data in the dot plot?
Responses
A Less than half of the birds have wing lengths of less than 50 mmLess than half of the birds have wing lengths of less than 50 mm
B The same number of birds have a wing length of 54 mm as birds that have a wing length of 46 mmThe same number of birds have a wing length of 54 mm as birds that have a wing length of 46 mm
C Most of the birds measured had a wing length of 48 mmMost of the birds measured had a wing length of 48 mm
D More than half of the birds have wing lengths of at least 48 mm
B The same number of birds have a wing length of 54 mm as birds that have a wing length of 46 mm. (This statement is not supported by the data in the dot plot, as there is only one dot for each wing length and it is not possible to determine if the dots represent the same number of birds.)
To identify the statement that is NOT supported by the data in the dot plot, let's analyze each option:
A. "Less than half of the birds have wing lengths of less than 50 mm" is supported by the data. From the dot plot, it can be observed that the number of birds with wing lengths less than 50 mm is below half.
B. "The same number of birds have a wing length of 54 mm as birds that have a wing length of 46 mm" is supported by the data. Each dot on the plot represents one bird, and there are an equal number of dots for 54 mm and 46 mm.
C. "Most of the birds measured had a wing length of 48 mm" is supported by the data. The highest concentration of dots is at the 48 mm mark.
D. "More than half of the birds have wing lengths of at least 48 mm" is NOT supported by the data. The dot plot does not provide information on the number of birds with wing lengths greater than 48 mm, so we cannot conclude that it is more than half.
Therefore, the statement that is NOT supported by the data in the dot plot is D. "More than half of the birds have wing lengths of at least 48 mm."
To determine which statement is not supported by the data in the dot plot, you would need to examine the dot plot itself. The dot plot shows the wing lengths in millimeters for ten birds. You should analyze the dot plot and count the number of birds that fall into each category mentioned in the statements.
For statement A, you would need to count the number of birds with wing lengths of less than 50 mm. If less than half of the birds fall into this category, statement A would be supported by the data.
For statement B, you would need to count the number of birds with a wing length of 54 mm and compare it to the number of birds with a wing length of 46 mm. If the counts are equal, statement B would be supported by the data.
For statement C, you would need to consider the wing length that appears most frequently in the dot plot. If the most common wing length is 48 mm, statement C would be supported by the data.
For statement D, you would need to count the number of birds with wing lengths of at least 48 mm. If more than half of the birds fall into this category, statement D would be supported by the data.
By analyzing the dot plot and considering the counts for each category mentioned in the statements, you can determine which statement is not supported by the data.