To determine which statement is best supported by the data, we need to analyze the median, interquartile range (IQR), and range values provided for Video A and Video B.
1. Comparing the Median Values:
- Median of Video A: 532
- Median of Video B: 821
The median represents the typical number of times each video was watched per day. Comparing the medians, we see that the median for Video B (821) is greater than the median for Video A (532). Therefore, Video B was typically watched more times each day than Video A. This supports statement A.
2. Comparing the Range Values:
- Range of Video A: 428
- Range of Video B: 393
The range gives us the difference between the maximum and minimum number of views per day, which is an indicator of variability. Comparing the ranges, the range for Video A (428) is greater than the range for Video B (393). This means the number of times Video A was watched each day varied more than the number of times Video B was watched. This supports statement B and contradicts statement D.
3. Comparing the IQR Values:
- IQR of Video A: 147
- IQR of Video B: 148
The IQR provides a measure of the middle 50% of the data set and indicates the spread of the central data points. The IQRs of both videos are almost identical (147 for Video A and 148 for Video B). This information is not particularly pivotal in determining the supported statement among the given options but shows similar variability within the interquartile range for both videos.
Evaluation of the Statements:
- Statement A: Video B was typically watched more times each day than Video A.
- Supported by the data as the median for Video B is greater than that for Video A.
- Statement B: The number of times Video A was watched each day varied much more than the number of times Video B was watched.
- Supported by the data as the range for Video A is greater than that for Video B.
- Statement C: Video A was typically watched more times each day than Video B.
- Not supported by the data as the median for Video A is less than that for Video B.
- Statement D: The number of times Video B was watched each day varied much more than the number of times Video A was watched.
- Not supported by the data as the range for Video B is less than that for Video A.
Given all this information, the best-supported statement by the data is:
A. Video B was typically watched more times each day than video A.
