To construct a relative frequency table, we need to divide the frequency of each response by the total number of responses. This will give us the relative frequency for each category.
The total number of responses is calculated by summing the frequencies of each category: Total=1+2+4+3=10 \text{Total} = 1 + 2 + 4 + 3 = 10 Total=1+2+4+3=10
The relative frequency for each response category is calculated using the formula: Relative Frequency=FrequencyTotal Responses \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Responses}} Relative Frequency=Total ResponsesFrequency Thus, we have:
The relative frequencies for each response category are:
The total of the relative frequencies is: Total Relative Frequency=0.1+0.2+0.4+0.3=1.0 \text{Total Relative Frequency} = 0.1 + 0.2 + 0.4 + 0.3 = 1.0 Total Relative Frequency=0.1+0.2+0.4+0.3=1.0
The relative frequency table is as follows:
Thus, the final answer is: Relative Frequencies: Excellent = 0.1, Good = 0.2, Fair = 0.4, Poor = 0.3, Total = 1.0 \boxed{\text{Relative Frequencies: Excellent = 0.1, Good = 0.2, Fair = 0.4, Poor = 0.3, Total = 1.0}} Relative Frequencies: Excellent = 0.1, Good = 0.2, Fair = 0.4, Poor = 0.3, Total = 1.0
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