Q7 of 40 Page 210

Centuries scored and number of cricketers in the world are given below.


Find the mean, median and mode of the given data.

We have


For mean:


Mean is given by



⇒


⇒ Mean = 11.19


For median:


Total observation, N = 139


Since, N is odd (that is, 139 is odd),



⇒


⇒


Cumulative frequency = 79 is just greater than 70.


And cumulative frequency, 79 falls in no. of century, 10.


⇒ Median = 10


For mode:


Mode is the value having highest frequency in the data.


From the table given above, 56 is the greatest frequency in the given frequencies.


Thus, the corresponding value in ‘number of centuries’, 5 is the mode.


⇒ Mode = 5


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