The daily income of a sample of 50 employees are tabulated as follows.

Find the mean daily income of employees.

Explanation

Since, given data is not continuous, so we substract 0.5 from the lower limit and add 0.5 in the upper limit of each class. Now we first, the class mark `x_(i)` of each class and then proceed as follows

`therefore "Assumed mean", a=300.5`
Class width, h=200
and total observation, N=50
By step deivation method,
`"Mean"=a+hxx(1)/(N)xx underset("i=1")overset("5")(sum)f_(i)u_(i)`
`300.5+200xx(1)/(50)xx14`
`=300.5+56=356.50`