Question

select the correct answer from each drop - down menu. rae and doris are training to swim a 200 - meter freestyle race. the table lists their practice times during training camp. raes times (minutes) doriss times (minutes) 2.12 2.32 2.01 2.19 2.46 2.26 2 2.03 2.22 2.11 2.31 2.14 2.23 2.07 the median of raes data is minutes, and the median of doris data is minutes. the interquartile range for rae is, and the interquartile range for doris is. the two data sets overlap

Explanation:

Step1: Arrange Rae's data in ascending order

2, 2.01, 2.12, 2.22, 2.23, 2.31, 2.46
Since there are 7 data - points (an odd number), the median is the 4th value. So the median of Rae's data is 2.22.

Step2: Arrange Doris's data in ascending order

2.03, 2.07, 2.11, 2.14, 2.19, 2.26, 2.32
Since there are 7 data - points (an odd number), the median is the 4th value. So the median of Doris's data is 2.14.

Step3: Find the first and third quartiles for Rae's data

The first half of Rae's data is 2, 2.01, 2.12. The median of this half (Q1) is 2.01.
The second half of Rae's data is 2.23, 2.31, 2.46. The median of this half (Q3) is 2.31.
The inter - quartile range (IQR) for Rae is Q3 - Q1 = 2.31−2.01 = 0.3.

Step4: Find the first and third quartiles for Doris's data

The first half of Doris's data is 2.03, 2.07, 2.11. The median of this half (Q1) is 2.07.
The second half of Doris's data is 2.19, 2.26, 2.32. The median of this half (Q3) is 2.26.
The inter - quartile range (IQR) for Doris is Q3 - Q1 = 2.26−2.07 = 0.19.

Step5: Analyze the overlap

To check for overlap, we can consider the ranges of the two data - sets. The ranges overlap as the values in both data - sets are in a similar range of around 2 - 2.5.

Answer:

The median of Rae's data is 2.22 minutes, and the median of Doris' data is 2.14 minutes. The interquartile range for Rae is 0.3, and the interquartile range for Doris is 0.19. The two data sets overlap.