Answer:
B. [tex]\frac{3}{16}[/tex] and [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
From the given figure, we see that,
Every partition is of length [tex]\frac{1}{16}[/tex].
So, we get that,
[tex]\frac{1}{16}[/tex] contains 4 data points.
[tex]\frac{3}{16}[/tex] contains 1 data point.
[tex]\frac{6}{16}[/tex] contains 1 data point.
[tex]\frac{8}{16}=\frac{1}{2}[/tex] contains 2 data points.
[tex]\frac{10}{16}[/tex] contains 2 data points.
[tex]\frac{12}{16}[/tex] contains 1 data point.
Since, the largest gap between two data points is [tex]\frac{2}{16}[/tex] which occurs between the points [tex]\frac{3}{16}[/tex] and [tex]\frac{6}{16}=\frac{3}{8}[/tex]
Hence, B is the correct option.
