Forty students were enrolled in a section of a general education course in stati
ID: 3203096 • Letter: F
Question
Forty students were enrolled in a section of a general education course in statistical reasoning during the fall quarter of 2012 at CSU. The instructor made course materials, grades, and lecture notes available to students on a class web site, and course management software kept track of how often each student accessed any of the web pages on the class site. One month after the course began, the instructor requested a report that indicated how many times each student had accessed a web page on the class site. The 40 observations in ranked order were: 0 1 1 1 2 2 3 4 4 4 1.5 5 7 7 8 8 12 12 12 13 13 14 14 16 18 19 19 20 20 21 22 23 26 36 36 37 42 84 331 The median value for this sample is: How will the median change if the largest value changes to 531 instead of 331? The median will disappear. The median will decrease. The median will not change. The median will increase. How will the median change if we exclude the smallest value? The median will not change. The median will decrease. The median will increase. The median will disappear.Explanation / Answer
1. As number of observations is 40,
Median = Average of (40/2)th and (40/2 + 1)th observation = Average of 20th and 21st value
= (12+13)/2 = 12.5
2. Even if we change the largest value, median wont change.
Answer: The median will not change.
3. If we exclude the smallest value, number of observations become 39.
Median = (39+1)/2 th value = 20th observation = 13
Hence, median increases.
Answer: The median will increase.