Question

The values in the table describe a data set.

Minimum 20
Mean 30
Mean Absolute Deviation 3.5
Median 35
Interquartile Range 10
Maximum 55

Which value can be used to describe how the values in the data set vary with a single number?
A. median
B. maximum
C. interquartile range
D. mean

Answer 1

The value that can be used to describe how the values in the data set vary with a single number is the Mean Absolute Deviation (MAD), which is given as 3.5 in the table.

Answer:
D. Mean Absolute Deviation

Answer 2

The interquartile range (IQR) is the best choice here to describe the variability of the data set with a single number.

The IQR is 10, indicating the middle 50% of the data values lie within the range of 28 to 43 (35 +/- 10 is 28-43).

The other choices are:

Mean (30) - Describes the central tendency but not variability.
Median (35) - Also describes central tendency but IQR gives a better sense of spread.
Maximum (55) - Only describes the upper limit, not variability.

So the interquartile range (IQR) of 10 is the best choice to capture how spread out or varied the values in the data set are.

The answer is C. interquartile range