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Create an extended frequency distribution table for the given data, including class boundaries, midpoints, cumulative frequencies, relative frequencies, and fx values.

Mathematics

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Step 1: Prepare the extended frequency distribution table.

First, calculate the total frequency NN.

N=3+4+10+8+5+2=32N = 3 + 4 + 10 + 8 + 5 + 2 = 32

Now, calculate the class boundaries, midpoints, cumulative frequencies, relative frequencies, and f⋅xf \cdot x values.

Class limitsFrequency (ff)Lower Class Boundary (LCB)Upper Class Boundary (UCB)Class Midpoint (xx)Less than CFMore than CFRelative Frequency (RF)f⋅xf \cdot x
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