### Chapter 1: Frequency Tables

Question 1

Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.

[tex]\[
\begin{tabular}{|c|c|}
\hline Lengths (mm) & Frequency \\
\hline 100-103 & 1 \\
\hline 104-107 & 16 \\
\hline 108-111 & 71 \\
\hline 112-115 & 108 \\
\hline 116-119 & 83 \\
\hline 120-123 & 18 \\
\hline 124-127 & 3 \\
\hline
\end{tabular}
\][/tex]

What is the lower class boundary for the first class?

class boundary [tex]$=$[/tex] [tex]$\square$[/tex]



Answer :

To determine the lower class boundary for the first class in a grouped frequency distribution table, we need to make an adjustment to the lower class limit. The adjustment involves subtracting 0.5 from the lower limit of the first class.

The lower class limit of the first class (100-103) is 100. To find the lower class boundary:

1. Identify the lower class limit: The lower class limit for the first class is 100.
2. Subtract 0.5 from this limit: 100 - 0.5 = 99.5.

Thus, the lower class boundary for the first class is 99.5.