mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
No. of boxes | 15 | 110 | 135 | 115 | 25 |
Class | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
Frequency | 5 | 6 | 8 | 12 | 6 | 3 |
Class-interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 7 | 14 | 28 | 26 | 16 | 9 |
No. of children (x) | 0 | 1 | 2 | 3 | 4 | 5 |
No. of families (f) | 10 | 21 | 55 | 42 | 15 | 7 |
x: | 5 | 10 | 15 | 20 | 25 |
f: | 6 | p | 6 | 10 | 5 |
Class interval: | 50-70 | 70-90 | 90-110 | 110-130 | 130-150 | 150-170 |
Frequency: | 18 | 12 | 13 | 27 | 8 | 22 |
x: | 5 | 8 | 10 | 12 | p | 20 | 25 |
f: | 2 | 5 | 8 | 22 | 7 | 4 | 2 |
x | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
f | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
x | 10 | 15 | p | 25 | 35 |
f | 3 | 10 | 25 | 7 | 5 |
x: | 3 | 5 | 7 | 9 | 11 | 13 |
f: | 6 | 8 | 15 | p | 8 | 4 |
x: | 5 | 10 | 15 | 20 | 25 |
f: | 7 | k | 8 | 4 | 5 |
Mark | 0 | 1 | 2 | 3 | 4 |
No. of students | a | 4 | 3 | 2 | 1 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
No. of student | 4 | 6 | 10 | 20 | 10 |
X | C.F. |
Less than 10 | 12 |
10-20 | 19 |
20-30 | 28 |
30-40 | 30 |
40-50 | 40 |
Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
Frequency | 15 | 18 | 21 | p | 17 |
C.I | 0-100 | 100-200 | 200-300 | 30-400 | 400-500 | 500-600 | 600-700 |
F | 10 | 15 | 25 | 25 | 10 | 10 | 5 |
Class | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Frequency | 6 | 10 | 8 | 12 | 4 |
Class | 90-100 | 100-110 | 110-120 | 120-130 | 130-140 |
Frequency | 18 | 78 | 80 | 100 | 72 |
Observation | 10 | 15 | 20 | 25 | 30 |
Frequency | 6 | 8 | m | 10 | 6 |
4 | 3 | 2 | 1 | 4 | 0 | 1 | 0 | 5 | 1 | 0 | 0 | 1 | 4 | 3 |
2 | 1 | 0 | 1 | 3 | 4 | 2 | 0 | 1 | 0 | 3 | 2 | 1 | 1 | 0 |
Weekly wages (in Rs.) | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 | 75-80 | 80-85 | 85-90 |
No. of workers | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
Number of days | 0-6 | 6-10 | 10-14 | 14-20 | 20-28 | 28-38 | 38-40 |
Number of students | 11 | 10 | 7 | 4 | 4 | 3 | 1 |
Class | 10-14 | 15-19 | 20-24 | 25-29 | 30-34 |
Frequency | 15 | 110 | 135 | 115 | 25 |
Age(in years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of persons | 105 | 222 | 220 | 138 | 102 | 113 | 100 |
Weekly wages (in Rs.) | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 | 75-80 | 80-85 | 85-90 |
No. of workers | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
Marks s(out of 15) | 7 | 4 | 10 | 9 | 15 | 12 | 7 | 9 | 9 |
Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | Total |
Frequency | 17 | f_{1} | 32 | f_{2} | 19 | 120 |
Length (mm) | 109-117 | 118-126 | 127-135 | 136-144 | 145-153 | 154-162 | 163-171 |
No of leaves | 4 | 6 | 14 | 13 | 6 | 4 | 3 |
Daily expenses (in Rs.) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
No. of households | 4 | 5 | 12 | 2 | 2 |
Daily expenditure (in Rs.) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
No. of households | 4 | 5 | 12 | 2 | 2 |
Marks | No of students |
0-10 | 5 |
10-20 | 10 |
20-30 | 11 |
30-40 | 20 |
40-50 | 27 |
50-60 | 38 |
60-70 | 40 |
70-80 | 09 |
80-90 | 14 |
90-100 | 6 |
Salary (in Rs} | Numbers of workers |
5000 | 22 |
6000 | 18 |
7000 | 15 |
8000 | 10 |
9000 | 8 |
10000 | 7 |
Income (thousand Rs) | 20-30 | 30-40 | 40-50 | 50-60 |
Farmer | 10 | 11 | 15 | 16 |
Mark obtained | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 | |
Number of students | 7 | 31 | 33 | 17 | 11 |
Toll (Rupees) | 300-400 | 400-500 | 500-600 | 600-700 | 700-800 |
No. of vehicles | 80 | 110 | 120 | 70 | 40 |
Marks | 200-240 | 240-280 | 280-320 | 320-360 | 360-400 |
Frequency | 10 | 20 | 30 | 24 | 16 |
Age | No. of patient |
5-14 | 6 |
15-24 | 11 |
24-24 | 21 |
35-44 | 23 |
45-54 | 54 |
55-60 | 5 |
Amount | Number of students |
0-10 | 3 |
10-20 | 4 |
20-30 | 5 |
30-40 | 2 |
40-50 | 1 |
0-5 | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 |
5 | 3 | 9 | 10 | 8 | 5 |
300-400 | 400-500 | 500-600 | 600-700 | 700-800 | 800-900 | |
No. of girls | 4 | 18 | 9 | 7 | 6 | 3 |
marks | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 |
number of students | 2 | 6 | 10 | 12 | 9 | 7 | 4 |
Term(x) | 10 | 15 | 20 | 25 |
Frequency(f) | 7 | 10 | P | 6 |
Class Marks | 10 | 20 | 30 | 40 | 50 | 60 |
No of students | 3 | 1 | 2 | 7 | 8 | 5 |
Marks | No. of students |
Above 0 | 80 |
Above 10 | 78 |
Above 20 | 71 |
Above 30 | 65 |
Above 40 | 53 |
Above 50 | 45 |
Above 60 | 25 |
Above 70 | 14 |
Above 80 | 10 |
Above 90 | 8 |
Above 100 | 0 |
No. of wickets | No. of bowlers |
20-60 | 7 |
60-100 | 5 |
100-150 | 16 |
150-250 | 12 |
250-350 | 2 |
350-450 | 3 |
Marks | No. of students |
Less than 10 | 0 |
Less than 30 | 10 |
Less than 50 | 25 |
Less than 70 | 43 |
Less than 90 | 65 |
Less than 110 | 87 |
Less than 130 | 96 |
Less than 150 | 100 |
Expenditure (in. Rs.) | No. of families |
1000-1500 | 24 |
1500-2000 | 10 |
2000-2500 | 33 |
2500-3000 | 28 |
3000-3500 | 30 |
3500-4000 | 22 |
4000-4500 | 16 |
4500-5000 | 7 |
No. of mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
No. of boxes | 15 | 110 | 135 | 115 | 25 |
Class | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 | 100 - 120 |
Frequency | 5 | f_{1} | 10 | f_{2} | 7 | 8 |
\displaystyle x_{i} | 15 | 20 | 22 | 24 | 25 | 30 | 33 | 38 |
Frequency | 5 | 8 | 11 | 20 | 23 | 18 | 13 | 2 |
Marks | No. of Students |
Below 10 | 5 |
Below 20 | 9 |
Below 30 | 17 |
Below 40 | 29 |
Below 50 | 45 |
Below 60 | 60 |
Below 70 | 70 |
Below 80 | 78 |
Below 90 | 83 |
Below 100 | 85 |
Height from mean sea level | 200 | 600 | 1000 | 1400 | 1800 |
No. of Villages | 115 | 107 | 265 | 143 | 202 |
Category | A | B | C | D | E | F | G |
Wages per day | 50 | 60 | 70 | 80 | 90 | 100 | 110 |
No. of Workers | 2 | 4 | 8 | 12 | 10 | 6 | 8 |
Profit per shop (in Rs) | Number of shops \displaystyle (f_{i}) |
100 - 200 | 10 |
200 - 300 | 18 |
300 - 400 | 20 |
400 - 500 | 26 |
500 - 600 | 30 |
600 - 700 | 28 |
700 - 800 | 18 |
C.I. | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
Frequency | 8 | 15 | 20 | p | 3 |
Marks | No. of students | Marks | No. of students |
0 - 10 | 2 | 50 - 60 | 12 |
10 - 20 | 3 | 60 - 70 | 14 |
20 - 30 | 4 | 70 - 80 | 4 |
30 - 40 | 8 | 80 - 90 | 4 |
49 - 50 | 16 | 90 - 100 | 3 |
Cost of Living Index | Number of weeks |
140 - 150 | 5 |
150 - 160 | 10 |
160 - 170 | 20 |
170 - 180 | 9 |
180 - 190 | 6 |
190 - 200 | 2 |
Total | 52 |
Class interval | Frequency |
0 - 20 | 8 |
20 - 40 | 10 |
40 - 60 | 15 |
60 - 80 | 9 |
80 - 100 | 8 |
\displaystyle X_{i} | 10 | 30 | 50 | 70 | 90 |
\displaystyle f_{i} | 4 | 24 | 28 | 16 | 8 |
Income per day | Numbers of persons |
0-100 | 4 |
100-200 | 8 |
200-300 | 9 |
300-400 | 10 |
400-500 | 7 |
500-600 | 5 |
600-700 | 4 |
700-800 | 3 |
\displaystyle x_{i} | 5 | 10 | 15 | 20 | 25 |
\displaystyle f_{i} | 7 | 4 | 6 | 3 | 5 |
Height of cms | Number of boys |
95-105 | 9 |
105-115 | 13 |
115-125 | 26 |
125-135 | 30 |
135-145 | 12 |
145-155 | 10 |
Firm A | Firm B | |
No.of wage earners | 586 | 648 |
Mean of monthly wages | Rs 5253 | Rs 5253 |
Variance of the distribution of wages | 100 | 121 |
Number of plants | 0-2 | 2-4 | 4-6 | 6-8 | 8-10 | 10-12 | 12-14 |
Number of houses | 1 | 2 | 1 | 5 | 6 | 2 | 3 |
Daily wages (in C) | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
Number of workers | 12 | 14 | 8 | 6 | 10 |
Daily pocket allowance (in Rs.) | 11-13 | 13-15 | 15-17 | 17-19 | 19-21 | 21-23 | 23-25 |
Number of children | 7 | 6 | 9 | 13 | f | 5 | 4 |
Literacy rate (in %) | 45-55 | 55-65 | 65-75 | 75-85 | 85-95 |
Number of cities | 3 | 10 | 11 | 8 | 3 |
Concentration of SO_2 (in ppm) | Frequency |
0.00-0.04 | 4 |
0.04-0.08 | 9 |
0.08-0.12 | 9 |
0.12-0.16 | 2 |
0.16-0.20 | 4 |
0.20-0.24 | 2 |
Number of mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
Number of boxes | 15 | 110 | 135 | 115 | 25 |
Number of heart beats per minute | 65-68 | 68-71 | 71-74 | 74-77 | 77-80 | 80-83 | 83-86 |
Number of women | 2 | 4 | 3 | 8 | 7 | 4 | 2 |
Daily expenditure (in C) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
Number of households | 4 | 5 | 12 | 2 | 2 |
Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 3 | 7 | 10 | 6 | 8 | 2 | 4 |
Marks | 15-19 | 20-24 | 25-29 | 30-34 | 35-39 | 40-44 |
Frequency | 6 | 5 | 9 | 12 | 6 | 2 |
Weight (kg) | 29 | 30 | 31 | 32 | 33 |
No. of children | 02 | 01 | 04 | 03 | 05 |
Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 8 | 5 | 12 | 35 | 24 | 16 |
Class Interval | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 10 | 6 | 8 | 12 | 5 | 9 |
Number of Words | Number of Candidates |
600 - 800 | 14 |
800 - 1000 | 22 |
1000 - 1200 | 30 |
1200 - 1400 | 18 |
1400 - 1600 | 16 |
Per day expense (In Rs.) | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Number of families | 3 | 7 | 6 | 6 | 3 |
Class Interval | 0 - 9 | 10 - 19 | 20 - 29 | 30 - 39 | 40 - 49 | 50 - 50 | 60 - 60 |
Frequency | 8 | 10 | 22 | 26 | 18 | 9 | 7 |
x | 15 | 25 | 35 | 45 | 55 | 65 | 75 | 85 |
f | 12 | 20 | 15 | 14 | 16 | 11 | 7 | 8 |
Diameter (in mm) | No. of Screws |
30 - 35 | 9 |
36 - 38 | 21 |
39 - 41 | 30 |
42 - 44 | 20 |
45 - 47 | 18 |
IQ (x_i) | No. of students (f_i) |
70-80 | 7 |
80-90 | 16 |
90-100 | 20 |
100-110 | 17 |
Class-interval of marks | 10 - 25 | 25 - 40 | 40 - 55 | 55 - 70 | 70 - 85 | 85 - 100 |
Number of students | 2 | 3 | 7 | 6 | 6 | 6 |
Time (in minutes) | No. of Workers |
20 - 24 | 2 |
25 - 29 | 10 |
30 - 34 | 15 |
35 - 39 | 20 |
40 - 44 | 28 |
45 - 49 | 25 |
Money (in Rs) | 0-10 | 10-20 | 20-30 | 30-40$$ | 40-50$$ |
No. of Students | 5 | 7 | 5 | 2 | 6 |
Food stuff | Quantity(in kg) w_i | Price per kg (in Rs.) x_i |
Rice | 25 | 30 |
Sugar | 12 | 30 |
Oil | 8 | 70 |
Commodity | Weight (in kg) | Price per kg(in Rupees) |
Rice | 25 | 30 |
Wheat | 5 | 20 |
Pulses | 4 | 60 |
Vegetables | 8 | 25 |
Oil | 3 | 65 |
Weight (in kg) | 60 | 64 | 68 | 70 | 72 |
Number of workers | 3 | 4 | 2 | 2 | 1 |
x | 5 | 10 | 15 | 20 | 25 | 30 |
f | 4 | 5 | 7 | 4 | 3 | 2 |
Marks | 65 | 70 | 75 | 80 | 85 | 90 | 95 | 100 |
Number of students | 6 | 11 | 3 | 5 | 4 | 7 | 10 | 4 |
Item | Number of Item | Cost of Item |
Powder | 2 | Rs. 45 |
Soap | 4 | Rs. 12 |
Pen | 5 | Rs. 15 |
Instruments box | 4 | Rs. 25.50 |
Age(in years) | 13 | 14 | 15 | 16 | 17 | 18 |
Number of students | 3 | 8 | 9 | 11 | 6 | 3 |
Age (in yrs) | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 |
No. of patients | 1 | 0 | 1 | 10 | 13 |
Class Interval | 0-19 | 20-39 | 40-59 | 60-79 | 80-99 |
Frequency | 3 | 4 | 15 | 14 | 4 |
Class | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 |
Frequency | 5 | 3 | 3 | - | 2 | 1 |
Height (cm) | Number of Students |
130 - 135 | 8 |
135 - 140 | 12 |
140 - 145 | 20 |
145 - 150 | 28 |
150 - 155 | 32 |
155 - 160 | 22 |
160 - 165 | 16 |
165 - 170 | 12 |
Daily pocket allowance (in Rs.) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Number of Children | 3 | 5 | 4 | 7 | 6 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Number of Students | 10 | 9 | 25 | 30 | 16 | 10 |
Daily Commission(in Rs.) | No. of Salesmen |
100-120 | 20 |
120-140 | 45 |
140-160 | 22 |
160-180 | 09 |
180-200 | 04 |
C.I. | 50-70 | 70-90 | 90-110 | 110-130 | 130-150 | 150-170 |
Frequency | 8 | 12 | 13 | 27 | 18 | 22 |
No. of calls (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
No. of intervals (f) | 15 | 24 | 29 | 46 | 54 | 43 | 39 |
Age (in years) | 15 | 16 | 17 | 18 | 19 | 20 |
No. of students | 3 | 8 | 10 | 10 | 5 | 4 |
No. of heads per toss | No. of tosses |
0 | 38 |
1 | 144 |
2 | 342 |
3 | 287 |
4 | 164 |
5 | 25 |
Total | 1000 |
No. of branches (x): | 2 | 3 | 4 | 5 | 6 |
No. of plants (f): | 49 | 43 | 57 | 38 | 13 |
Marks (x) | 15 | 20 | 22 | 24 | 25 | 30 | 33 | 28 | 45 |
Frequency (f) | 5 | 8 | 11 | 20 | 23 | 18 | 13 | 3 | 1 |
x: | 8 | 12 | 15 | p | 20 | 25 | 30 |
f: | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
x: | 5 | 6 | 7 | 8 | 9 |
f: | 4 | 8 | 14 | 11 | 3 |
Class interval: | 0-8 | 8-16 | 16-24 | 24-32 | 32-40 |
Frequency: | 6 | 7 | 10 | 8 | 9 |
No. of accidents (x): | 0 | 1 | 2 | 3 | 4 |
No. of workers (f): | 70 | 52 | 34 | 3 | 1 |
No. of misprints per page (x) | 0 | 1 | 2 | 3 | 4 | 5 |
No. of pages (f) | 154 | 95 | 36 | 9 | 5 | 1 |
Class interval: | 0-6 | 6-12 | 12-18 | 18-24 | 24-30 |
Frequency: | 6 | 8 | 10 | 9 | 7 |
Class interval: | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Frequency: | 6 | 10 | 8 | 12 | 4 |
Class interval: | 0-8 | 8-16 | 16-24 | 24-32 | 32-40 |
Frequency: | 5 | 6 | 4 | 3 | 2 |
Maks (x): | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
No. of students (f) | 15 | 50 | 80 | 76 | 472 | 45 | 39 | 9 | 8 | 6 |
Class interval: | 0-6 | 6-12 | 12-18 | 18-24 | 24-30 |
Frequency: | 7 | 5 | 10 | 12 | 6 |
Class interval: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequency: | 9 | 12 | 15 | 10 | 14 |
No. of students absent (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
No. of days (f) | 1 | 4 | 10 | 50 | 34 | 15 | 4 | 2 |
Class interval: | 10-30 | 30-50 | 50-70 | 70-90 | 90-110 | 110-130 |
Frequency: | 5 | 8 | 12 | 20 | 3 | 2 |
Marks: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Number of students: | 20 | 24 | 40 | 36 | 20 |
Class: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequency: | 8 | p | 12 | 13 | 10 |
Class interval: | 25-29 | 30-34 | 35-39 | 40-44 | 45-49 | 50-54 | 55-59 |
Frequency: | 14 | 22 | 16 | 6 | 5 | 3 | 4 |
Class interval: | 11-13 | 13-15 | 15-17 | 17-19 | 19-21 | 21-23 | 23-25 |
Frequency: | 7 | 6 | 9 | 13 | --- | 5 | 4 |
Cost of living Index | Number of students | Cost of living Index | Number of students |
1400-1500 | 5 | 1700-1800 | 9 |
1500-1600 | 10 | 1800-1900 | 6 |
1600-1700 | 20 | 1900-2000 | 2 |
Size of item | 1-4 | 4-9 | 9-16 | 16-27 |
Frequency | 6 | 12 | 26 | 20 |
Class: | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 5 | {f}_{1} | 10 | {f}_{2} | 7 | 8 |
Number of mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
Number of boxes | 15 | 110 | 135 | 115 | 25 |
Height (in meters): | 200 | 600 | 1000 | 1400 | 1800 | 2200 |
No. of village: | 142 | 265 | 560 | 271 | 89 | 16 |
Variate (x): | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
Frequency (f): | 20 | 43 | 75 | 67 | 72 | 45 | 39 | 9 | 8 | 6 |
Life time ( in hrs) | Frequency |
300-399 | 14 |
400-499 | 46 |
500-599 | 58 |
600-699 | 76 |
700-68 | 68 |
800-899 | 62 |
900-999 | 48 |
1000-1099 | 22 |
1100-1199 | 6 |
Length (in mm) | 118-126 | 127-135 | 136-144 | 145-153 | 154-162 | 163-171 | 172-180 |
No. of leaves: | 3 | 5 | 9 | 12 | 5 | 4 | 2 |
Wage( in Rs.) | 800 | 820 | 860 | 900 | 920 | 980 | 1000 |
No. of workers: | 7 | 14 | 19 | 25 | 20 | 10 | 5 |
Expenditure: (in Rs.) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 |
Frequency: | 24 | 40 | 33 | 28 | 30 | 22 | 16 | 7 |
Population | Less then 1000 | 1001-2000 | 2001-4000 | 4001-8000 | 8001-10000 | More than 10,000 |
Number of villages | 3 | 6 | 10 | 9 | 3 | 4 |
C.I | 35-40 | 40-45 | 45-50 | 50-55 | 55-60 |
F | 7 | 6 | 9 | 5 | 3 |
Marks | Number of students |
o and above | 80 |
10 and above | 77 |
20 and above | 72 |
30 and above | 65 |
40 and above | 55 |
50 and above | 43 |
60 and above | 28 |
70 and above | 16 |
80 and above | 10 |
90 and above | 8 |
100 and above | 0 |
Marks: | Below 10 | Below 20 | Below 30 | Below 40 | Below 50 | Below 60 | Below 70 | Below 80 | Below 90 | Below 100 |
Number of students: | 5 | 9 | 17 | 29 | 45 | 60 | 70 | 78 | 83 | 85 |
Expenditure (in Rs.) | Frequency | Expenditure (in Rs.) | Frequency |
1000-1500 | 24 | 3000-3500 | 30 |
1500-2000 | 40 | 3500-4000 | 22 |
2000-2500 | 33 | 4000-4500 | 16 |
2500-3000 | 28 | 4500-5000 | 7 |
Height(in cm) | less than 140 | less than 145 | less than 150 | less than 155 | less than 160 | less than 165 |
No of girls | 4 | 11 | 29 | 40 | 46 | 51 |
Monthly consumption (in units) | Number of consumers |
65-85 | 4 |
85-105 | 5 |
105-125 | 13 |
125-145 | 20 |
145-165 | 14 |
165-185 | 8 |
185-205 | 4 |
Number of coins | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
frequency | 3 | 6 | 4 | 7 | 5 | 8 | 5 | 2 |
weight | 80-85 | 85-90 | 90-95 | 95-100 | 100-105 | 105-110 | 110-115 |
No. of apples | 5 | 8 | 10 | 12 | 8 | 4 | 3 |
Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequency | 9 | 12 | 15 | 10 | 14 |
No. of Wickets | 20-60 | 60-100 | 100-150 | 150-250 | 250-350 | 350-450 |
No. of Bowlers | 7 | 5 | 16 | 12 | 2 | 3 |
Dally pocket allowance (in Rs) | 11-13 | 13-15 | 15-17 | 17-19 | 19-21 | 21-23 | 23-25 |
Number of children | 7 | 6 | 9 | 13 | f | 5 | 4 |
Batsman A | 15 | 17 | 19 | 27 | 30 | 36 | 40 | 90 | 95 | 110 |
Batsman B | 10 | 16 | 21 | 28 | 37 | 41 | 36 | 80 | 82 | 65 |
Age (in years) | 5-7 | 7-9 | 9-11 | 11-13 | 13-15 | 15-17 | 17-19 |
Number of students | 67 | 33 | 41 | 95 | 36 | 13 | 15 |
match no | Player 1 | Player 2 |
1 | 35 | 46 |
2 | 80 | 238 |
3 | 15 | 51 |
4 | 47 | 42 |
5 | 18 | 25 |
6 | 54 |
Class | 20-60 | 60-100 | 100-150 | 150-250 | 250-350 | 350-450 |
Fi | 7 | 5 | 18 | 12 | 2 | 3 |
x | 2 | 4 | 6 | 8 | 10 | 12 |
frequency = f | 4 | 7 | 10 | 16 | k | 3 |
Daily wages(in rs) | Number of workers |
500-200 | 12 |
520-540 | 14 |
540-560 | 8 |
560-580 | 6 |
580-600 | 10 |
No.of mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
No. of boxes | 15 | 110 | 135 | 115 | 25 |
Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 6 | 8 | 13 | 7 | 3 | 2 | 1 |
Daily wages (in Rs) | 100 - 120 | 120 - 140 | 140 - 160 | 160 - 180 | 180 -200 |
Number of workers | 12 | 14 | 8 | 6 | 10 |
Time | 10-11 a.m | 11-12 noon | 12-1 p.m | 1-2 p.m | 2-3 p.m | 3-4 p.m | 4-5 p.m |
Numbers of visitors | 30 | 40 | 34 | 26 | 35 | 34 | 32 |
C.I. | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
frequency | 8 | X | 10 | 11 | 9 |
Weekly wages (Rupees) | 1000-2000 | 2000-3000 | 3000-4000 | 4000-5000 |
No. of workers | 25 | 45 | 50 | 30 |
Weekly wages (Rupees) | 0-2000 | 2000-4000 | 4000-6000 | 6000-8000 |
No. of workers | 15 | 35 | 50 | 20 |
Life time (in hrs) | Frequency | Life time (in hrs) | Frequency |
300-399 | 14 | 800-899 | 62 |
400-499 | 46 | 900-999 | 48 |
500-599 | 58 | 1000-1099 | 22 |
600-699 | 76 | 1100-1199 | 6 |
700-799 | 68 |
No. of apples | 50-53 | 53-56 | 56-59 | 59-62 | 62-65 |
No of boxes | 20 | 150 | 115 | 95 | 20 |
Daily wages (in Rs) | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
Number of workers | 12 | 14 | 8 | 6 | 10 |
Marks obtained | number of students |
Less than 10 | 14 |
Less than 20 | 22 |
Less than 30 | 37 |
Less than 40 | 55 |
Less than 50 | 67 |
Less than 60 | 75 |
Lifetime (in hours) | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 10 | 15 | 12 | 21 | 8 | 9 |
Production (in thousand rupees) | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 |
No. of farm owners | 20 | 25 | 15 | 10 | 10 |
Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 5 | 8 | 10 | 12 | 7 | 8 |
Class | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 3 | 6 | 8 | 10 | 8 | 5 | 3 |
Height (cm) | Number of girls |
120-130 | 2 |
130-140 | 8 |
140-150 | 12 |
150-160 | 20 |
160-170 | 8 |
Total | 50 |
Term(x) | 10 | 15 | 20 | 25 |
Frequency(f) | 7 | 10 | P | 6 |
Marks | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 | 120-140 |
No.of students | 6 | 8 | 10 | 12 | 6 | 5 | 3 |
Diameter (in mm) | 33-35 | 36-38 | 39-41 | 42-44 |
Number of screws \left( { f }_{ 1 } \right) | 17 | 19 | 23 | 21 |
CI | 5-15 | 15-25 | 25-35 | 35-45 | 45-55 | 55-65 |
f | 6 | 11 | 21 | 23 | 14 | 5 |
Class interval | Frequency |
0-4 | 4 |
5-9 | 3 |
10-14 | 2 |
15-19 | 1 |
Height (in cm) | 156 | 154 | 155 | 151 | 157 | 152 | 153 |
Number of students | 8 | 4 | 10 | 6 | 7 | 3 | 12 |
Daily wages (in Rs) | 500-520 | 520-540 | 540-560 | 560-580 | 580-600 |
Number of workers | 12 | 14 | 8 | 6 | 10 |
0-10 | 10-20 | 20-30 | 30-40 |
15 | 32 | 55 | 35 |
Age in years | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | Total |
Number of People | 15 | {F}_{1} | 21 | {F}_{2} | 17 | 100 |
C.I. | 50-70 | 70-90 | 90-110 | 110-130 | 130-150 | 150-170 |
Frequency | 8 | 12 | 13 | 27 | 18 | 22 |
Size: | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |
Number of persons(wearing it): | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |
x : | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
f : | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
Class intervals | 0-8 | 8-16 | 16-24 | 24-32 | 32-40 | 40-48 |
Frequency | 5 | 3 | 10 | P | 4 | 2 |
Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 7 | 5 | 6 | 12 | 8 | 2 |
Class: | 3-5 | 5-7 | 7-9 | 9-11 | 11-13 |
Frequency: | 5 | 10 | 10 | 7 | 8 |
Class interval | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 | 75-80 | 80-85 | 85-90 |
Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
Class | 84-90 | 90-96 | 96-102 | 102-108 | 108-114 | 114-120 |
Frequency | 8 | 10 | 16 | 23 | 12 | 11 |
Class | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Frequency | 6 | 10 | 8 | 12 | 4 |
Class | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 |
Frequency | 6 | 9 | 15 | 12 | 8 |
Funds (Rupees) | 0 - 500 | 500 - 1000 | 1000 - 1500 | 1500 - 2000 | 2000 - 2500 |
No. of workers | 35 | 28 | 32 | 15 | 10 |
Class interval | 0-40 | 40-80 | 80-120 | 120-160 | 160-200 | 200-240 |
Frequency | 4 | 7 | f_1 | 12 | f_2 | 9 |
Milk Sold (Litre) | 1 - 2 | 2 - 3 | 3 - 4 | 4 - 5 | 5 - 6 |
No. of Customers | 17 | 13 | 10 | 7 | 3 |
X | f |
0 - 10 | 3 |
10 - 20 | 9 |
20- 30 | 8 |
30 - 40 | 5 |
40 - 50 | 7 |
50 - 60 | 5 |
60 - 70 | 7 |
70 - 80 | 6 |
Weekly wages (Rupees) | 1000 - 2000 | 2000 - 3000 | 3000 - 4000 | 4000 - 5000 |
NO. of workers | 25 | 45 | 50 | 30 |
Marks (x) | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 |
Frequency (f) | 5 | 8 | 20 | 14 | 3 |
Time (hrs.) | 0 - 2 | 2 - 4 | 4 - 6 | 6 - 8 | 8 - 10 |
No. of students | 7 | 18 | 12 | 10 | 3 |
Life (thousand km.) | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
No. of tyres of brand A | 4 | 7 | 10 | 5 | 3 | 1 |
No. of tyres of brand B | 5 | 8 | 15 | 9 | 6 | 2 |
Daily wage | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 | 500-550 | 550-600 |
No. of workers | 14 | 28 | 33 | 30 | 20 | 15 | 13 | 7 |
Size | 20 | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 12 |
Frequency | 1 | 2 | 4 | 8 | 11 | 10 | 7 | 4 | 2 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
No of students | 3 | 9 | 18 | 30 | 18 | 12 |
Class | 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 |
Frequency | 4 | 15 | 20 | 10 | 8 | 5 |
CI | f |
0-10 | 2 |
10-20 | 4 |
20-30 | 6 |
30-40 | 2 |
40-50 | 4 |
50-60 | 2 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
No. of Students | 2 | 18 | 30 | 45 | 35 | 20 | 6 | 3 |
X | 10 | 20 | 30 | 40 | 60 | 70 |
f | 2 | 4 | 6 | 2 | 4 | 2 |
Marks |
No of students (f) |
46-50 |
5 |
41-45 | 11 |
36-40 | 22 |
31-35 | 35 |
26-30 | 26 |
21-25 | 13 |
16-20 | 10 |
11-15 | 7 |
Subjects | Marks |
History | 54 |
Geography | 47 |
Sanskrit | 75 |
Maths | 84 |
Economics | 58 |
English | 78 |
Politics | 57 |
S.No. | Marks obtained (X) |
1 | 10 |
2 | 12 |
3 | 14 |
4 | 17 |
5 | 18 |
6 | 20 |
7 | 21 |
8 | 30 |
9 | 32 |
Class Interval |
No. of workers |
0-10 |
10 |
10-20 |
15 |
20-30 |
25 |
30-40 |
25 |
40-50 |
10 |
50-60 |
10 |
60-70 |
5 |
Items | 12 | 29 | 14 | 41 |
Weight | 6 | 4 | 5 | 2 |
Size |
Frequency |
20 |
14 |
25 |
18 |
30 |
33 |
35 |
30 |
40 |
20 |
45 |
15 |
50 |
13 |
55 |
7 |
X |
No. of Persons |
20-29 |
10 |
30-39 |
8 |
40-49 |
6 |
50-59 |
4 |
60-69 |
2 |
Class Interval | Frequency |
0-10 | 5 |
10-20 | 8 |
20-30 | ? |
30-40 | 16 |
40-50 | 6 |
Age |
Number |
15-19 |
4 |
20-24 |
20 |
25-29 |
38 |
30-34 |
24 |
35-39 |
10 |
40-44 |
4 |
Runs scored |
No. of matches |
0-20 |
2 |
20-40 |
4 |
40-60 |
6 |
60-80 |
4 |
80-100 |
2 |
Size |
Frequency |
20 |
1 |
19 |
2 |
18 |
4 |
17 |
8 |
16 |
11 |
15 |
10 |
14 |
7 |
13 |
4 |
12 |
2 |
11 |
1 |
Marks |
Number of Students |
4 |
12 |
5 |
10 |
6 |
18 |
7 |
20 |
8 |
24 |
Height (inches) |
Number of Persons |
57 |
1 |
59 |
3 |
61 |
7 |
63 |
10 |
65 |
11 |
67 |
15 |
69 |
10 |
71 |
7 |
73 |
2 |
Marks | Frequency |
Less than 10 | 5 |
Less than 20 | 20 |
Less than 30 | 45 |
Less than 40 | 80 |
Less than 50 | 100 |
Less than 60 | 115 |
Less than 70 | 125 |
Less than 80 | 130 |
Number of Heads |
Frequency |
0 |
2 |
1 |
19 |
2 |
46 |
3 |
62 |
4 |
47 |
5 |
20 |
6 |
5 |
7 |
2 |
8 |
2 |
Mid-Value | 20 | 30 | 40 | 50 | 60 | 70 |
Male (Cf) | 12 | 25 | 42 | 46 | 48 | 50 |
Number of Heads (X) | Frequency (f) |
0 | 2 |
1 | 19 |
2 | 46 |
3 | 62 |
4 | 47 |
5 | 20 |
6 | 5 |
7 | 2 |
8 | 2 |
Class Interval |
Frequency |
0-5 |
15 |
5-10 |
10 |
10-15 |
11 |
15-20 |
12 |
20-25 |
6 |
25-30 |
6 |
30-35 |
10 |
35-40 |
15 |
40-45 |
10 |
45-50 |
5 |
Class Interval |
No. of Students |
10-20 |
5 |
20-30 |
3 |
30-40 |
4 |
40-50 |
7 |
50-60 |
f |
60-70 |
6 |
70-80 |
13 |
Size (in cm.) |
No. of Items |
10-15 |
2 |
15-20 |
8 |
20-25 |
20 |
25-30 |
35 |
30-35 |
20 |
35-40 |
15 |
X | f |
2 | 3 |
4 | 5 |
6 | 12 |
8 | 10 |
10 | 5 |
Marks |
No. Of students |
0-20 |
8 |
20-40 |
12 |
40-60 |
30 |
60-80 |
20 |
80-100 |
10 |
Wages | 10 | 20 | 30 | 40 | 50 |
Number of workers | 4 | 5 | 3 | 2 | 5 |
Size |
Frequency |
20 |
14 |
25 |
18 |
30 |
33 |
35 |
30 |
40 |
20 |
45 |
15 |
50 |
13 |
55 |
7 |
Marks | No. of Students |
0-10 | 2 |
10-20 | 7 |
20-30 | 10 |
30-40 | 15 |
40-50 | 20 |
50-60 | 16 |
60-70 | 6 |
70-80 | 4 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
No. of students | 8 | 15 | 22 | 20 | 10 | 5 |
Marks | 150-200 | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 |
Students | 2 | 3 | 12 | 10 | 4 | 6 | 3 |
Number of mangoes | 50-52 | 53-55 | 56-58 | 59-61 | 62-64 |
Number of boxes | 15 | 110 | 135 | 115 | 25 |
Class Interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 | Total |
Frequency | 7 | f_1 | 12 | f_2 | 8 | 5 | 50 |
Marks obtained | Number of students |
10-20 | 6 |
20-30 | 8 |
30-40 | 13 |
40-50 | 7 |
50-60 | 3 |
60-70 | 2 |
70-80 | 1 |
Schools | No. of candidates | Average Score. |
I | 60 | 75 |
II | 48 | 80 |
III | Not available | 55 |
IV | 40 | 50 |
Money | No. of student |
0-10 10-20 20-30 30-40 40-50 | 5 2 6 5 7 |
Wages | 300 | 150 | 200 | 250 | 350 |
Persons | A | B | C | D | E |
Marks obtained | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
No. of body | 6 | 8 | 14 | 16 | 4 | 2 |
No. of books issued | 80 | 100 | 120 | 145 | 200 | 280 | 310 | 380 | 400 | 410 |
No. of days | 15 | 18 | 25 | 27 | 40 | 25 | 19 | 16 | 8 | 7 |
x | 10 | 30 | 50 | 70 | 90 |
y | 17 | 5a+3 | 32 | 7a-11 | 18 |
Daily Wages (in Rs.) | 240-300 | 300 - 360 | 360 - 420 | 420 - 480 | 480 - 540 |
Number of Workers | 20 | 30 | 20 | 40 | 90 |
Class interval | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
Frequency | 10 | 20 | 30 | 15 | 5 |
Age(in years) | 25-29 | 30-34 | 35-39 | 40-44 | 45-49 | 50-54 | 55-59 |
No. of persons | 4 | 14 | 22 | 16 | 6 | 5 | 3 |
No. of siblings | 1 | 2 | 3 | 4 |
Families | 15 | 25 | 5 | 5 |
x : | 8 | 12 | 15 | p | 20 | 25 | 30 |
f : | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
x : | 5 | 10 | 15 | 20 | 25 |
f : | 6 | p | 6 | 10 | 5 |
Speed (km/h) | 85-100 | 100-115 | 115-130 | 130-145 |
Number of players | 11 | 9 | 8 | 5 |
Weight (kg) |
No. of Students |
93-97 |
3 |
98-102 |
5 |
103-107 |
12 |
108-112 |
17 |
113-117 |
14 |
118-122 |
6 |
123-127 |
3 |
128-132 |
1 |