STATISTICS
PREVIOUS YEAR QUESTIONS
1. Write the empirical relation between mean, mode and median.(AI CBSE 2009 C)
2. Write the median class of the following distribution:(CBSE 2009)
| Class |
Frequency |
| 0-10 |
4 |
| 10-20 |
4 |
| 20-30 |
8 |
| 30-40 |
10 |
| 40-50 |
12 |
| 50-60 |
8 |
| 60-70 |
4 |
3. What is the modal class of the following distribution.(CBSE 2009 F)
| Age (in years) |
Number of patients |
| 0-10 |
16 |
| 10-20 |
13 |
| 20-30 |
6 |
| 30-40 |
11 |
| 40-50 |
27 |
| 50-60 |
18 |
4. Find the median (AI CBSE 2008)
| Marks |
Frequency |
| 0-10 |
8 |
| 10-20 |
10 |
| 20-30 |
12 |
| 30-40 |
22 |
| 40-50 |
30 |
| 50-60 |
18 |
5. Find the class marks of classes 10-25 and 35-55 (AI 2008F)
6. What is the median class of the grouped data(AI CBSE 2008 C)
| Class |
Frequency |
| 128-135 |
8 |
| 135-142 |
5 |
| 142-149 |
9 |
| 149-156 |
12 |
| 156-163 |
5 |
| 163-170 |
1 |
7. Find the missing frequencies when the mean of dats is 53. (CBSE 2008)
Age (in years) |
0-20 |
20-40 |
40-60 |
60-80 |
80-100 |
Total |
Number of people |
15 |
F1 |
21 |
F2 |
17 |
100 |
8. The following table gives production yield per hectare of wheat of 100 farms of a village.( AI CBSE 2009 C)
| Production yield |
Number of farms |
| 40-45 |
4 |
| 45-50 |
6 |
| 50-55 |
16 |
| 55-60 |
20 |
| 60-65 |
30 |
| 65-70 |
24 |
Change the distribution to a ‘more than type’ distribution and draw its ogive.
9. The distribution below gives the weights of 30 students of a class. Find the mean and median weight of students (CBSE 2009 C)
| Weight (in kgs) |
Number of students |
| 40-45 |
2 |
| 45-50 |
3 |
| 50-55 |
8 |
| 55-60 |
6 |
| 60-65 |
6 |
| 65-70 |
3 |
| 70-75 |
2 |
10. The lengths of 40 leaves of a plant are measured correct up to the nearest millimetre and the data is as under:
| Length (in mm) |
Number of leaves |
| 118-126 |
4 |
| 126-134 |
5 |
| 134-142 |
10 |
| 142-150 |
12 |
| 150-158 |
4 |
| 158-166 |
5 |
Find the mean and median length of the leaves (CBSE 2009 C)