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

Lengths (mm) Frequency
220 - 239 1
240 - 259 16
260 - 279 71
280 - 299 108
300 - 319 83
320 - 339 18
340 - 359 3

What is the class boundary between the sixth and seventh classes?

class boundary =

1 answer

To find the class boundary between the sixth and seventh classes, we need to identify the upper limit of the sixth class and the lower limit of the seventh class.

In the given data:

  • The sixth class is 320 - 339 mm.
  • The seventh class is 340 - 359 mm.

For the sixth class (320 - 339 mm), the upper limit is 339 mm. The lower limit of the seventh class (340 - 359 mm) is 340 mm.

The class boundary is calculated by taking the average of the upper limit of the sixth class and the lower limit of the seventh class:

\[ \text{Class boundary} = \frac{\text{Upper limit of sixth class} + \text{Lower limit of seventh class}}{2} = \frac{339 + 340}{2} = \frac{679}{2} = 339.5 \]

Therefore, the class boundary between the sixth and seventh classes is:

class boundary = 339.5