Question

A bin size ofis most appropriate for this set of data:1486, 1228, 1625, 1340, 1845, 1573, 1608, 1821, 1398, 1572, 1401, 1563,1482, 1374

Answer 1

GIVEN:

We are given a set of data as indicated in the attached image.

Required;

Determine the appropriate bin size for the given set of data.

Step-by-step solution;

A bin size is basically a class interval in statistics. Its a way of sorting data in a histogram, more like categories.

We start by identifying the smallest and largest data points and these are;

`\begin{gathered} Least=1228 \\ \\ Greatest=1845 \end{gathered}`

Now we determine the range of the data set,

`\begin{gathered} Range=Greatest\text{ }value-Least\text{ }value \\ \\ Range=1845-1228 \\ \\ Range=617 \end{gathered}`

Let us now choose 5 bins.

Next step, we divide the range by the bin size and we have;

`(617)/(5)=123.4`

We now have a class interval of 123.4

We can round this down to 100. That means an interval of 100 between the lower limit and the upper limit of each class interval.

Therefore,

ANSWER;

Option D; 100