Question

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Answer 1

• b) 16.8 g

Explanation:

The modal group is 10-20, as it has the greatest frequency of 27.

Estimated mode is calculated by formula:

• EM = L + (f(m) - f(m-1))/(f(m) - f(m-1) + f(m) - (f(m+1))*w,

where

• L- lower class boundary of the modal group =10
• fm-1 - frequency of the group before the modal group = 10
• fm - frequency of the modal group =27
• fm+1 - frequency of the group after the modal group = 19
• w - group width = 10

Substitute values to get:

• EM = 10 + (27 - 10)/(27 - 10 + 27 - 19)*10 = 16.8