Use the image to answer the question.
A number line ranges from 2 to 9.5 in increments of 0.5. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 4 to 5.5. The second box extends from 5.5 to 7. A line extends from each end of the box, terminating at 2 on the left and terminating at 9.5 on the right.
For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?
(1 point)
Responses
IQR, the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is skewed to the right.
IQR, the shape of the distribution is skewed to the right.
Range, the shape of the distribution is skewed to the right.
Range, the shape of the distribution is skewed to the right.
Range; the shape of the distribution is symmetrical, or close to it.
Range; the shape of the distribution is symmetrical, or close to it.
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7 answers
Responses
The range of the original dataset is higher than the range of the new dataset.
The range of the original dataset is higher than the range of the new dataset.
The mean of the new dataset is lower than the mean of the original dataset.
The mean of the new dataset is lower than the mean of the original dataset.
The original dataset is more dispersed than the new dataset.
The original dataset is more dispersed than the new dataset.
The mean of the new dataset is higher than the mean of the original dataset.
The mean of the new dataset is higher than the mean of the original dataset.
Two box plots. One is labeled 'Math Scores' while the other is labeled 'Science Scores.' The plots are placed over a number line that ranges from 0 to 30 in increments of 5. The 5 number labels typical to box plots are available for both. The box plot for math scores shows the following labels: minimum: 5; first quartile: 10; median: 15; third quartile: 20; maximum: 25. The box plot for science scores shows the following labels: minimum: 6; first quartile: 12; median: 16; third quartile: 20; maximum: 24.
Which statement is true about the given datasets?
(1 point)
Responses
The math scores are less spread out than the science scores.
The math scores are less spread out than the science scores.
The range of the science scores is higher than the range of the math scores.
The range of the science scores is higher than the range of the math scores.
The interquartile range (IQR) of the science scores is lower than the IQR of the math scores.
The interquartile range (IQR) of the science scores is lower than the IQR of the math scores.
The median of the math scores is higher than the median of the science scores.
The median of the math scores is higher than the median of the science scores.
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The CORRECT answer is:
Range; the shape of the distribution is symmetrical, or close to it.
1 answer