Question

6) [15 pts] The oxygen consumed by 100 iguanas in captivity is tabulated below: Class Relative Frequency (in ml/mg) 20-24 0.025 25-29 0.025 30-34 35-39 0.325 40-44 0.367 45-49 0.108 50-54 0.008 55-59 0.017 a) How many classes are tabulated? b) Which is the missing relative frequency? c) What is the class width for these data?

Answer 1

The first part of the question

The classes are: 20-24, 25 -29, 30-34, 35-39, 40-44, 45-49, 50-54and 55-59

This gives a total of Eight

Hence, the number of classes tabulated = 8

The second part of the question

To find the missing relative frequency, we will have to sum up all the relative frequencies and then subtract from 1 because the sum of the relative frequency should add up to 1.

Therefore,

0.025 + 0.025 + 0.325 + 0.367+ 0.108 + 0.008 + 0.017 = 0.875

Missing relative frequency + 0.875 = 1

Missing relative frequency = 1 - 0.875 = 0.125

Missing relative frequency = 0.125

Class Width: The class width is the distance between the lower (or higher) limits of successive classes.

So selecting successive lower limits, let's say 20 and 25 for instance.

The difference is 25 - 20 = 5

We can also select successive upper limits, let's say 24 and 29 for example

Then 29 - 24 = 5

Hence Class width = 5