Question

Question #d2da3

Answer 1

Estimated mode is 84.17

Explanation:

Estimated mode is explained in detail at (https://www.mathsisfun.com/data/frequency-grouped-mean-median-mode.html)

Estimated mode =`L+w*(f_m-f_(m-1))/(f_m - f_(m-1) + f_m - f_(m+1)`

`L` is the lower class boundary of the modal group
`f_(m-1)` is the frequency of the group before the modal group
`f_m` is the frequency of the modal group
`f_(m+1)` is the frequency of the group after the modal group
`w` is the group width

Estimated Mode = `80 + 10*(100-75)/((100-75)+(100-65))`

Estimated mode = `80 + 250/(25+35)`

Estimated mode = `80 + 4.17 = 84.17`

Your answer is `84.17` (estimated mode)