Question

How can I Estimate the mean length. How can I select the modal class ?

Answer 1

To estimate the mean length.

From the table lengths and its corresponding frequency are given

we know that,

The mean formula is defined as the sum of the observations divided by the total number of observations.

The formula to calculate the mean of grouped data. The formula is,

`m=(\sum^fx_i)/(\sum^f)`

we get, Midpoint of the intervals are,

0.95, 2.95, 4.95, 6.95, 8.95, 10.95

Mean is,

`=(0.95*3+2.95*33+4.95*62+6.95*49+8.95*36+10.95*7)/(3+33+62+49+36+7)`

we get,

`=(1146.5)/(190)`
`=6.034`

Answer is: 6.034