The following table shows the ages of tha year:
Age (in years) | 5 - 15 | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 |
|---|---|---|---|---|---|---|
Number of patients | 6 | 11 | 21 | 23 | 14 | 5 |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Lifetimes (in hours) | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 | 100 - 120 |
|---|---|---|---|---|---|---|
Frequency | 10 | 35 | 52 | 61 | 28 | 29 |
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure :
Expenditure (in Rs) | Number of families |
|---|---|
1000 - 1500 | 24 |
1500 - 2000 | 40 |
2000 - 2500 | 33 |
2500 - 3000 | 28 |
3000 - 3500 | 30 |
3500 - 4000 | 22 |
4000 - 4500 | 16 |
4500 - 5000 | 7 |
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
| Number of students per teacher | Number of states / U.T |
|---|---|
| 15 - 20 | 3 |
| 20 - 25 | 8 |
| 25 -30 | 9 |
| 30 - 35 | 10 |
| 35 - 40 | 3 |
| 40 - 45 | 0 |
| 45 - 50 | 0 |
| 50 - 55 | 2 |
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
| Runs scored | Number of batsmen |
|---|---|
3000 - 4000 | 4 |
4000 - 5000 | 18 |
5000 - 6000 | 9 |
6000 - 7000 | 7 |
7000 - 8000 | 6 |
8000 - 9000 | 3 |
9000 - 10000 | 1 |
10000 - 11000 | 1 |
Find the mode of the data.
| Case No. | Lens | Focal Length | Object Distance |
|---|---|---|---|
| 1 | \(A\) | 50 cm | 25 cm |
| 2 | B | 20 cm | 60 cm |
| 3 | C | 15 cm | 30 cm |