Question

Calculate the relative frequency of the fifth class. Determine your answer as a simplified fraction

Answer 1

To find the relative frequency of the first class we first need to find its frequency, to help us do this we order the data which is shown below:

1047, 1052, 1081, 1161, 1172, 1214, 1222, 1231, 1268, 1307, 1313, 1329, 1330, 1332, 1343, 1402, 1402, 1412, 1421, 1447, 1455

The fifth class is made of the values from 1320 to 1389, we notice that the frequency of this class is 4. Now, the relative frequency is given by:

`\frac{\text{ frequency of class}}{\text{ total frequency}}`

Then we have:

`(4)/(21)`

Therefore, the relative frequency of the fifth class is 4/21