Which measure of variability—range or IQR—best describes the spread of the dataset?
Social studies group project grades (out of 100 points) for Mr. Chang’s first period class
85 88 90 90 92 92 95 96 99
(1 point)
Responses
IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
IQR; the distribution is skewed, and there are outliers in the dataset.
IQR; the distribution is skewed, and there are outliers in the dataset.
Range; the distribution is skewed, and there are outliers in the dataset.
are you 100% sure
Based on the given data, which is relatively small and does not have any extreme values, the IQR would likely be the better measure of variability as it describes the spread of the middle values in the dataset, which in this case are all relatively close together. The range would also be a reasonable measure, but the IQR provides information about the central 50% of the data which may be more informative in this case. So, while I cannot say I am 100% sure, I would lean towards IQR being the better measure of variability for this dataset.
Maria surveyed girls on the amount (in \$) they spent on a dress for the middle school spring fling: \[ 79,79,79,82,84,85,89,90,99,100,100,100,129,139,155,174,189,200,209,250 \] Which measure of variability-IQR or MAD-best describes the spread of the dataset? (1 point) MAD; the data distribution is symmetrical IQR; the data distribution is skewed IQR, the data distribution is symmetrical
IQR; the data distribution is skewed
The dataset seems to have a wide range of values, with some larger values (such as 129, 139, 155, 174, 189, 200, 209, 250) that are significantly higher than the others. This suggests that the data distribution is skewed, and in this case, the Interquartile Range (IQR) would be a better measure of variability as it is less affected by extreme values compared to the Mean Absolute Deviation (MAD).