Calculate the mean of the following data, using a direct method.Class25-3535-4545-5555-6565-75Frequency6108124

To calculate the mean of the given data using the direct method, we need to multiply each value by its corresponding frequency, then sum up these products, and finally divide by the total frequency.

Let's calculate it step by step:

Class Frequency
25-35 6
35-45 10
45-55 12
55-65 4
65-75 8

To find the mean, we multiply each class midpoint by its corresponding frequency and sum up the products:

Mean = ( (30 * 6) + (40 * 10) + (50 * 12) + (60 * 4) + (70 * 8) ) / (6 + 10 + 12 + 4 + 8)

Mean = (180 + 400 + 600 + 240 + 560) / 40

Mean = 1980 / 40

Mean = 49.5

Therefore, the mean of the given data using the direct method is 49.5.