Problem

Consider a frequency table with the following data: Scores of 1, 2, 3, 4, 5 with frequencies of 5, 10, 15, 20, 25 respectively. Find the mean of the frequency table.

Answer

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Answer

Step 4: Divide \(\Sigma fx\) by \(\Sigma f\). The result is: \(\frac{275}{75} = 3.67\)

Steps

Step 1 ：Step 1: Multiply each score by its frequency to get the 'fx' column. The result is: \(1*5 = 5\), \(2*10 = 20\), \(3*15 = 45\), \(4*20 = 80\), \(5*25 = 125\)

Step 2 ：Step 2: Sum up all the values in the 'fx' column to get \(\Sigma fx\). The result is: \(5+20+45+80+125 = 275\)

Step 3 ：Step 3: Sum up all the frequencies to get \(\Sigma f\). The result is: \(5+10+15+20+25 = 75\)

Step 4 ：Step 4: Divide \(\Sigma fx\) by \(\Sigma f\). The result is: \(\frac{275}{75} = 3.67\)

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