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If a class in a frequency distribution for a sample of 50 has a frequency of 5, the cumulative relative frequency for this class would be?

Question

If a class in a frequency distribution for a sample of 50 has a frequency of 5, the cumulative relative frequency for this class would be?

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Solution

To calculate the cumulative relative frequency, you need to follow these steps:

  1. Calculate the relative frequency of the class: This is done by dividing the frequency of the class by the total number of observations in the sample. In this case, the frequency of the class is 5 and the total number of observations is 50. So, the relative frequency is 5/50 = 0.1 or 10%.

  2. Calculate the cumulative frequency: This is the sum of the frequencies of all classes that come before the current class, plus the frequency of the current class. If this is the first class, then the cumulative frequency is the same as the frequency of the current class, which is 5 in this case.

  3. Calculate the cumulative relative frequency: This is done by dividing the cumulative frequency by the total number of observations. In this case, the cumulative frequency is 5 and the total number of observations is 50. So, the cumulative relative frequency is 5/50 = 0.1 or 10%.

So, the cumulative relative frequency for this class is 10%.

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