Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequency | 7 | 8 | 20 | 10 | 5 |
Class | Mid-value (x) | Frequency (f) | fd | |
0-10 | 5 | 7 | -20 | -140 |
10-20 | 15 | 8 | -10 | -80 |
20-30 | 25 | 20 | 0 | 0 |
30-40 | 35 | 10 | + 10 | +100 |
40-50 | 45 | 5 | + 20 | +100 |
Total |
| 50 |
| -20 |

Number of days for which absent (less than) | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 |
Number of students | 29 | 224 | 465 | 582 | 634 | 644 | 650 | 653 | 655 |
Class interval | Cumulative frequency | Ordinary frequency |
0-5 | 29 | 29=29 |
5-10 | 224 | 224-29=105 |
10-15 | 465 | 465-224=241 |
15-20 | 582 | 582-465=117 |
20-25 | 634 | 634-582=52 |
25-30 | 644 | 644-634=10 |
30-35 | 650 | 650-644=6 |
35-40 | 653 | 653-650=3 |
40-45 | 655 | 655-653=2 |




Age | 0-6 | 6-12 | 12-18 | 18-24 | 24-30 | 30-36 | 36-42 |
Frequency | 6 | 11 | 25 | 35 | 18 | 12 | 6 |
Age | Frequency | Cumulative frequency |
0-6 | 6 | 6 |
6-12 | 11 | 17 |
12-18 | 42 | |
18-24 | 35 = f | 77 |
24-30 | 95 | |
30-36 | 12 | 107 |
36-42 | 6 | 113 |









Class | f | x | CF | fd | ||
0-10 | 10 | 5 | 10 | -3 | -30 | 90 |
10-20 | 40 | 15 | 50 | -2 | -80 | 160 |
20-30 | 20 | 25 | 70 | -1 | -20 | 20 |
30-40 | 0 | 35 | 70 | 0 | 0 | 0 |
40-50 | 10 | 45 | 80 | 1 | 10 | 10 |
50-60 | 40 | 55 | 120 | 2 | 80 | 160 |
60-70 | 16 | 65 | 136 | 3 | 48 | 144 |
70-80 | 14 | 75 | 150 | 4 | 56 | 244 |










Number of men= n = 10 Probability that at least 7 men will live to 70 = (7 or 8 or 9 or 10) = P (7)+ P(8)+ P(9) + P(10) =
|



















Student | A | B | C | D | E | F | G | H | I | J |
I.R. | 105 | 104 | 102 | 101 | 100 | 99 | 98 | 96 | 93 | 92 |
E.R. | 101 | 103 | 100 | 98 | 95 | 96 | 104 | 92 | 97 | 94 |
Student | Intelligence ratio x | Engineering ratio y y | XY | ||
A | 105 6 | 101 3 | 36 | 9 | 18 |
B | 104 5 | 103 5 | 25 | 25 | 25 |
C | 102 3 | 100 2 | 9 | 4 | 6 |
D | 101 2 | 98 0 | 4 | 0 | 0 |
E | 100 1 | 95 -3 | 1 | 9 | -3 |
F | 99 0 | 96 - 2 | 0 | 4 | 0 |
G | 98 -1 | 104 6 | 1 | 36 | -6 |
H | 96 -3 | 92 -6 | 9 | 36 | 18 |
I | 93 -6 | 97 -1 | 36 | 1 | 6 |
J | 92 -7 | 94 -4 | 49 | 16 | 28 |
Total | 990 0 | 980 0 | 170 | 140 | 92 |




Age of husband | Age of wife | Total | ||||||
15-25 | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 | |||
15-25 | 1 | 1 | - | - | - | - | 2 | |
25-35 | 2 | 12 | 1 | - | - | - | 15 | |
35-45 | - | 4 | 10 | 1 | - | - | 15 | |
45-55 | - | - | 3 | 6 | 1 | - | 10 | |
55-65 | - | - | - | 2 | 4 | 2 | 8 | |
65-75 | - | - | - | - | 1 | 2 | 3 | |
Total | 3 | 17 | 14 | 9 | 6 | 4 | 53 | |
Age of husband | Age of wife x series | Suppose | |||||||||||
15-25 | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Total f | |||||||
Years | Midpoint x | 20 | 30 | 40 | 50 | 60 | 70 | ||||||
Age group | Midpoint y |
|
| -20 | -10 | 0 | 10 | 20 | 30 | ||||
-2 | -1 | 0 | 1 | 2 | 3 | ||||||||
15-25 | 20 | -20 | -2 | 4 1 | 2 1 |
|
|
|
| 2 | -4 | 8 | 6 |
25-35 | 30 | -10 | -1 | 4 2 | 12 12 | 0 1 |
|
|
| 15 | -15 | 15 | 16 |
35-45 | 40 | 0 | 0 |
| 0 4 | 0 10 | 0 1 |
|
| 15 | 0 | 0 | 0 |
45-55 | 50 |
|
|
|
| 0 3 | 6 6 | 2 1 |
| 10 | 10 | 10 | 8 |
55-65 | 60 |
|
|
|
|
| 4 2 | 16 4 | 12 2 | 8 | 16 | 32 | 32 |
65-75 | 70 |
|
|
|
|
|
| 6 1 | 18 2 | 3 | 9 | 27 | 24 |
Total f | 3 | 17 | 14 | 9 | 6 | 4 | 53 = n | 16 | 92 | 86 | |||
-6 | -17 | 0 | 9 | 12 | 12 | 10 | Thick figures in small sqs. for Check: From both sides | ||||||
12 | 17 | 0 | 9 | 24 | 36 | 98 | |||||||
8 | 14 | 0 | 10 | 24 | 30 | 86 |








A | 1 | 6 | 5 | 10 | 3 | 2 | 4 | 9 | 7 | 8 |
B | 3 | 5 | 8 | 4 | 7 | 10 | 2 | 1 | 6 | 9 |
C | 6 | 4 | 9 | 8 | 1 | 2 | 3 | 10 | 5 | 7 |
A (=x) | Ranks by B(=y) | C (=z) | x-y | y - z | z-x |
| ||
1 | 3 | 6 | -2 | -3 | 5 | 4 | 9 | 25 |
6 | 5 | 4 | 1 | 1 | -2 | 1 | 1 | 4 |
5 | 8 | 9 | -3 | -1 | 4 | 9 | 1 | 16 |
10 | 4 | 8 | 6 | -4 | -2 | 36 | 16 | 4 |
3 | 7 | 1 | -4 | 6 | -2 | 16 | 36 | 4 |
2 | 10 | 2 | -8 | 8 | 0 | 64 | 64 | 0 |
4 | 2 | 3 | 2 | -1 | -1 | 4 | 1 | 1 |
9 | 1 | 10 | 8 | -9 | 1 | 64 | 81 | 1 |
7 | 6 | 5 | 1 | 1 | -2 | 1 | 1 | 4 |
8 | 9 | 7 | -1 | 2 | -1 | 1 | 4 | 1 |
Total |
|
| 0 | 0 | 0 | 200 | 214 | 60 |



