The mean of the following distribution is:
xi10131619fi2576
15.55
We know that,
Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations.
⇒Mean=∑xifi∑fi
Now,
∑xifi=20+65+112+114=311
∑fi=20
So,
Mean=∑xifi∑fi=31120=15.55