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In a relative frequency distribution, what should the relative frequencies add up to?

Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A.The relative frequencies add up to ___.

B.The relative frequencies add up to the total number of observations.

Respuesta :

Answer:

A. 1

Step-by-step explanation:

The relative frequency is calculated by dividing the frequency of respective class to the total frequency. i.e R.f=f/∑f.

Hence, the relative frequencies can never be add up to total number of observations because it is computed from taking the proportion of frequency and total number of observation. The relative frequencies thus add up to 1.

For example we are given the frequencies for 3 classes as 6,4,2 and computed relative frequencies of these 3 classes are 6/12, 4/12 and 2/12.

Now adding these three relative frequencies 6/12+4/12+2/12=6+4+2/12=12/12=1.

Thus, the relative frequencies add up to 1.

Cetacea

The relative frequencies add up to 1.

The relative frequency is the frequency divided by the total frequency.

Then we add all the relative frequencies.

So all the denominators of the relative frequencies are the total frequency.

And the sum of the numerators that means sum of all the frequencies will also be the total frequency.

If we didivde total frequency by total frequency then we get 1.

So, The relative frequencies add up to 1.

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