The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Question:
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Solution:
Let the assumed mean A = 70 and h = 10.
We know that mean, $\bar{X}=A+h\left(\frac{1}{N} \sum f_{i} u_{i}\right)$
Now, we have $N=\sum f_{i}=35, \sum f_{i} u_{i}=-2, h=10$ and $A=70$
Putting the values in the above formula, we have
$\bar{X}=A+h\left(\frac{1}{N} \sum f_{i} u_{i}\right)$
$=70+10\left(\frac{1}{35} \times(-2)\right)$
$=70-\frac{20}{35}$
$=70-0.571$
$=69.428$