Xi | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Freq (Fi) | 2 | 5 | 12 | 17 | 14 | 6 | 3 |
Xi | Freq (Fi) | XiFi |
9 | 2 | 18 |
10 | 5 | 50 |
11 | 12 | 132 |
12 | 17 | 204 |
13 | 14 | 182 |
14 | 6 | 84 |
15 | 3 | 45 |
| Fi = 59 | XiFi= 715 |
|
|
|
Income | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
No. of families | 8 | 12 | 25 | 22 | 16 | 11 | 6 |
Income | No. of families | Xm (Mid-point) | fXm |
30-40 | 8 | 35 | 280 |
40-50 | 12 | 34 | 408 |
50-60 | 25 | 55 | 1375 |
60-70 | 22 | 65 | 1430 |
70-80 | 16 | 75 | 1200 |
80-90 | 11 | 85 | 935 |
90-100 | 6 | 95 | 570 |
| n = 100 |
| ∑f Xm = 6198 |
Time per week | 0 - 5 | 5 – 10 | 10 - 15 | 15 - 20 | 20 – 25 | 25 – 30 |
No. of students | 8 | 11 | 15 | 12 | 9 | 5 |
Time per week (X) | No. of students (F) | Midpoint X | XF |
0 - 5 | 8 | 2.5 | 20 |
5 – 10 | 11 | 7.5 | 82.5 |
10 - 15 | 15 | 12.5 | 187.5 |
15 - 20 | 12 | 17.5 | 210 |
20 - 25 | 9 | 22.5 | 202.5 |
25 – 30 | 5 | 27.5 | 137.5 |
| 60 |
| 840 |
Marks obtained | No. of students |
10 -20 | 5 |
20 – 30 | 12 |
30 – 40 | 8 |
40 – 50 | 5 |
CI | F |
70-71 | 2 |
68-69 | 2 |
66-67 | 3 |
64-65 | 4 |
62-63 | 6 |
60-61 | 7 |
58-59 | 5 |
Class interval | 1-3 | 3-5 | 5-7 | 7-9 | 9-11 | 11-13 |
Frequency | 4 | 12 | 13 | 19 | 7 | 5 |
CI | F | CF |
1-3 | 4 | 4 |
3-5 | 12 | 16 |
5-7 | 13 | 29 |
7-9 | 19 | 48 |
9-11 | 7 | 55 |
11-13 | 5 | 60 |
X | F |
60 – 80 | 22 |
80 – 100 | 38 |
100 – 120 | 45 |
120 – 140 | 35 |
|
|
X | f | Mid X | Log X | f log X |
60 – 80 | 22 | 70 | 1.845 | 40.59 |
80 – 100 | 38 | 90 | 1.954 | 74.25 |
100 – 120 | 45 | 110 | 2.041 | 91.85 |
120 – 140 | 35 | 130 | 2.114 | 73.99 |
Total | 140 |
|
| 280.68 |
Sl. N o | Test scores |
1 | 17 |
2 | 17 |
3 | 26 |
4 | 27 |
5 | 30 |
6 | 30 |
7 | 31 |
8 | 37 |
Class | 5 -15 | 15 - 25 | 25 - 35 | 35 - 45 | 45 – 55 |
Frequency | 5 | 9 | 7 | 3 | 8 |
x | f | cf | Midpoint x | x –median | F(x-m) |
5 -15 | 5 | 5 | 10 | 17.42 | 87.1 |
15 -25 | 9 | 14 | 20 | 7.42 | 66.78 |
25 -35 | 7 | 21 | 30 | 2.58 | 18.06 |
35 -45 | 3 | 24 | 40 | 12.58 | 37.74 |
45- 55 | 8 | 32 | 50 | 22.58 | 180.64 |
| 32 |
|
|
| 390.32 |
Class interval | Frequency |
30 – 39 | 3 |
40 – 49 | 1 |
50 – 59 | 8 |
60 – 69 | 10 |
70 – 79 | 7 |
80 – 89 | 7 |
90 – 99 | 4 |
Class interval | Frequency | Midpoint x | fx | X – x | (x – x ) 2 | F (x – x ) 2 |
30 – 39 | 3 | 34.5 | 103.5 | -33.5 | 1122.25 | 3366.75 |
40 – 49 | 1 | 44.5 | 44.5 | -23.5 | 552.25 | 552.25 |
50 – 59 | 8 | 54.5 | 436.0 | -13.5 | 182.25 | 1458 |
60 – 69 | 10 | 64.5 | 645.0 | -3.5 | 12.25 | 122.5 |
70 – 79 | 7 | 74.5 | 521.5 | 6.5 | 42.25 | 295.75 |
80 – 89 | 7 | 84.5 | 591.5 | 16.5 | 272.25 | 1905.75 |
90 – 99 | 4 | 94.5 | 378.0 | 26.5 | 702.25 | 2809 |
| 40 |
| 2720 |
|
| 10510 |
Hours | No. of students |
10 – 14 | 2 |
15 – 19 | 12 |
20 – 24 | 23 |
25 – 29 | 60 |
30 – 34 | 77 |
35 – 39 | 38 |
40 - 44 | 8 |
Hours | No. of students | x | fx | X – x | (x – x ) 2 | F (x – x ) 2 |
10 – 14 | 2 | 12 | 24 | -17.82 | 317.49 | 634.98 |
15 – 19 | 12 | 17 | 204 | -12.82 | 164.31 | 1971.67 |
20 – 24 | 23 | 22 | 506 | -7.82 | 61.12 | 1405.85 |
25 – 29 | 60 | 27 | 1620 | -2.82 | 7.94 | 476.53 |
30 – 34 | 77 | 32 | 2464 | 2.18 | 4.76 | 366.55 |
35 – 39 | 38 | 37 | 1406 | 7.18 | 51.58 | 1959.98 |
40 - 44 | 8 | 42 | 336 | 12.18 | 148.40 | 1187.17 |
| 220 |
| 6560 |
|
| 8002.73 |