I. By Coding Method Example 31 (Please help me tutor solve the required solution that has dots and check if my answers are correct)

There's a steps but I can't understand it (Kindly see the attachment)

Lengths (mm) Frequency ( f, ) Mid-point (x, ) Deviation ( 1, ) f, 1, 25 - 29 2 27 -6 30 - 34 4 32 -2 35 - 39 7 37 -1 7 40 - 44 10 42 assumed mean 45 - 49 8 47 N -O 8 50 - 54 6 52 12 55 - 59 3 57 9 Ef. = 40 Ef, 11, =8 X= A+ Ef.u, 8 C=......+ SHARE.... Ef. 40Exercise 5 1. The following table shows the distribution of marks of some students who took part in science quiz. Marks Tally Lower Upper Frequency Midpoint class class (f, ) (.x, ) boundary boundary 56 - 60 56 60 7 58 406 61 -65 61 65 7 63 441 66 - 70 ITH 66 70 5 68 340 71 -75 ITH ITH 71 75 10 73 730 76 -80 76 80 5 78 390 81 - 85 81 85 5 83 415 86 -90 11 86 90 2 88 176 91 -95 111 91 95 3 93 279 96 - 96 100 98 294 100 Ef. =47 Efx, =3471 a. Copy and complete the table b. Calculate the mean and the mode.3. By Coding Method In order to calculate the mean of grouped data by Coding Method, you need to: 0 Find the mid-point of each interval (x,) 0 Find the assumed mean = A 0 Fill the u,with zero (=0) in the class of A , then fill the u,with -1, -2, -3, ...to the upper, 'l, 2, 3, to the below of the class of A. Multiply he frequency of each interval by its deviation ( fl .u,) Find the sum of all the products f,.u,. Find the sum of all the frequencies Divide the sum of the products f,.u, by the sum of the frequencies, multiply it with C,thenadditto A. Exam le 31 The following set of raw data shows the lengths, in millimeters, measured to the nearest mm, of 40 leaves taken from plants of a certain species. This is the table of frequency distribution. Lengths (mm) ' Frequency(f,) 2529 3034 3539 4044 4549 5054 5559 7 Solution 2. The length, in mm, of 48 rubber tree leaves are given below. 137 152 127 147 141 157 132 153 166 147 136 134 146 142 162 169 149 135 166 157 141 146 147 148 163 133 148 150 136 127 162 152 143 138 142 153 145 154 144 126 139 126 158 147 136 144 159 161 Copy and complete the following table: Lengths (x mm) Tally Frequency Midpoint ( f. ) ( x, ) 125