The ages of students enrolled in two math classes at the local community college are listed in order here.
Class A: 20,
20,
20,
21,
22,
23,
23,
25,
27,
29,
30,
31,
34,
35,
36,
39,
40
Class B: 16,
17,
18,
18,
20,
22,
22,
24,
26,
26,
28,
29,
30,
34,
37,
40,
42
Compare the medians, ranges, and interquartile ranges of the data sets. Then use the drop-down arrows to complete the sentences.
The median for Class A is [greater than, same as, less than] the median for Class B. Therefore, [the median student in Class A is the same age as the median student in Class B, the median student in Class B is older than the median student in Class A, the median student in Class A is older than the median student in Class B].
The range of ages for Class A is [the same as, greater than, less than] the range of ages for Class B. Therefore, [there is a greater difference between the oldest and youngest student in Class B than Class A, there is the same difference between the oldest and youngest student in Class A and Class B, there is a greater difference between the oldest and youngest student in Class A than Class B].
The interquartile range for the ages for Class A is [greater than, less than, the same as] it is for the ages for Class B. Therefore, for the middle 50% of the data values, [the ages for Class A are more spread out than the ages for Class B, the ages for Class B are more spread out than the ages for Class A, the ages for Class A are spread out the same as the ages for Class B].
The lower quartile for Class A is [less than, greater than, same as] the lower quartile for Class B. The upper quartile for Class A is [greater than, same as, same as] the upper quartile for Class B.