91Ó°ÊÓ

Consider the given question,

To use cut-point grouping with a first class of $0$-under $1$.

The above given oxygen distributions gives important information on the general biogeochemistry of marine sediment. Measurements were performed at $16$sites. A sample of $22$depths yielded the data of diffusive oxygen uptake, in millimoles per square meter per day is given.

The frequency distribution for the depths using cut-point grouping is constructed as follows:

We are supposed to use a first cut-point of $0$and class width of $1$. This class is for depths of $0$millimoles per square meter per day, up to, but not including $1$millimoles per square meter per day. The largest value of depths is $6.7$, so the last class must be $6$-under $7$. Therefore, grouping by $1s$results $7$classes as follows:

Formula to calculate the relative frequency,

Relative frequency$=\frac{\mathrm{frequency}\mathrm{of}\mathrm{the}\mathrm{class}}{\mathrm{Total}\mathrm{frequency}}$

Calculating for each class,

Also,

Histogram of oxygen distribution of frequency,

Histogram of oxygen distribution of relative frequency,