Q10 of 40 Page 210

The donations given to an orphanage home by the students of different classes of a secondary school are given below.

Find the mean, median and mode of the data.


We have



For mean:


Mean is given by




Mean = 11.25


For median:


Total observation, N = 80


Since, N is even (that is, 80 is even),




&



Cumulative frequencies = 50 is just greater than 40 and 41.


And cumulative frequencies, 50 falls in donation by each student, 10.


Median = 10


For mode:


Mode is the value having highest frequency in the data.


From the table given above, 20 is the greatest frequency in the given frequencies.


Thus, the corresponding value in ‘donation by each student’, 10 is the mode.


Mode = 10


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