Question

If the group data has open end classes, one cannot calculate_ _ _ _ _ _.
A.Median
B.Mode
C.Mean
D.quartiles

Answer 1

Hint: As we know, group data has classes which are given with lower limits and upper limit. So, the group data has open end classes which probably do not have lower limits of the first class or the upper limit of the last class. Now, we are very well known about the group data with open end classes now we can focus on checking which of the following quantities cannot be calculated in this case. Now, we know median, mean and quartiles can be calculated when group data has open ended classes. Now, mode requires lower limit and upper limit of the modal class and as we are talking about open end classes, these classes may not have lower limit and upper limit. So, mode of an open end group class cannot be calculated.

Complete step-by-step answer:
As we know group data has open end classes which probably do not have lower limits of the first class or the upper limit of the last class. We also know that median mean and quartiles do not require limits of the class so they can be calculated even when the classes are open ended. So, now we can say that mode is the only one here which requires limits of the classes.
So, the answer is mode.
Hence, the correct option is B.

Note: As we know, mean median and mode are the quantities which can make us confuse some time so, be aware to clear concepts deeply to avoid making mistakes in these types of easy questions.