Answer :

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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