Step 1 :First, we calculate the midpoints of each group. The midpoint is calculated as \((lower \, limit + upper \, limit) \, / \, 2\).
Step 2 :For the group 0-10, the midpoint is \((0+10)\,/\,2 = 5\).
Step 3 :For the group 11-20, the midpoint is \((11+20)\,/\,2 = 15.5\).
Step 4 :For the group 21-30, the midpoint is \((21+30)\,/\,2 = 25.5\).
Step 5 :For the group 31-40, the midpoint is \((31+40)\,/\,2 = 35.5\).
Step 6 :For the group 41-50, the midpoint is \((41+50)\,/\,2 = 45.5\).
Step 7 :Next, we find the weighted average, or mean, by multiplying each midpoint by its frequency, summing these products, and dividing by the total frequency.
Step 8 :The sum of the products is \(5*10 + 15.5*15 + 25.5*12 + 35.5*15 + 45.5*8 = 50 + 232.5 + 306 + 532.5 + 364 = 1485\).
Step 9 :The total frequency is 60. Therefore, the mean number of books read is \(1485\, / \,60 = 24.75\).