Hello Ram,
The perspective could also be
The set of students in a class on day X : {1,2,3,4.......22,23,24,25,26} - There are 26 students in class or 26 elements in the set
The set of students in a class on day Y : {1,2,3,4.......29,30,31,32,33} - There are 33 students in class or 33 elements in the set
The set of students in a class on day Z : {1,2,3,4.......33,34,35,36,37} - There are 37 students in class or 37 elements in the set.
and so on .... 16 sets for 16 days
This perspective is not wrong. Neither is the perspective when you consider the numbers represented by the stem and leaf plot as a set. Ambiguity could have been reduced by specifying an additional word "exactly" in the question.
For the sake of comparison, a variable like number of students in a class is not analogous to a globally well defined constant like number of days in a week.
Suppose the school has a rule that only if there are at least 34 students in class will the teacher get paid. So the school accountant asks rather ambiguously, "On how many days were there 34 students in the class?" . If he concludes that there were zero days where there were 34 students in class, the teacher will not get paid.
Just saying ..
Now I have another doubt related to this. Can I conclude safely that the stem and leaf plot in this question represents the attendance of 16 days . How are duplicates handled in the stem and leaf plot - I am unable to recall whether this was discussed in the lecture.
Thank You.