Long Method
Calculate the Average daily income tax 40 days on cross-stitch threads of the arts and crafts shop.
Amount in Pesos Frequency (x) Midpoint fx
172-180 7 176 1,232
163-171 6 167 1,002
154-162 5 158 790
145-153 3 149 447
136-144 5 140 700
127-135 6 131 786
118-126 8 122 976
__________________
N=40 Σfx=5, 933
Formula= x= Σfx
x= 5,933
40
x= 148.3
Long Method
Class interval Frequency (x) Midpoint fx
90-94 15 92 1,380
85-89 6 87 522
80-84 8 82 656
75-79 9 77 693
70-74 12 72 864
__________________
n=50 Σfx=4, 115
Formula= x= Σfx
x= 4, 115
50
x= 102.8 or 103
SODUKU PUZZLE
4 5 3 8 2 6 1 9 7
8 9 2 5 7 1 6 3 4
1 6 7 4 9 3 5 2 8
7 1 4 9 5 2 8 6 3
5 8 6 1 3 7 2 4 9
3 2 9 6 8 4 7 5 1
9 3 5 2 1 8 4 7 6
6 7 1 3 4 5 9 8 2
2 4 8 7 6 9 3 1 5
Long Method
Amount in Pesos Frequency (x) Midpoint fx
172-180 9 176 1,584
163-171 6 167 1,002
154-162 3 158 474
145-153 5 149 745
136-144 11 140 1,540
127-135 4 131 524
118-123 2 122 244
__________________
N=40 Σfx=5, 513
Formula= x= Σfx
n
x= 5,513
40
x= 137.82
x= 138
Long Method
Class interval Frequency (x) Midpoint fx
90-94 8 92 736
85-89 14 87 1,218
80-84 7 82 574
75-79 6 77 462
70-74 15 72 1,080
__________________
n=50 Σfx=4, 070
Formula= x= Σfx
x= 4, 070
50
x= 81.4 or 81
SODUKU PUZZLE
2 1 6 3 8 4 7 5 9
8 5 9 1 7 6 2 3 4
4 3 7 5 2 9 1 8 6
9 6 8 7 3 1 4 2 5
7 4 3 2 6 5 8 9 1
5 2 1 4 9 8 3 6 7
3 8 5 6 1 7 9 4 2
1 9 4 8 5 2 6 7 3
6 7 2 9 4 3 5 1 8