Q. 1. If mode of the following data is 15, find k.
10, 15, 17, 15,
, 17, 20.
Q. 2. The following table shows the marks obtained by 100 students of class X in a school during a particular academic session. Find the mean, median and mode of the distribution.
| Marks | No. of students |
| Less than 10 | 7 |
| Less than 20 | 21 |
| Less than 30 | 34 |
| Less than 40 | 46 |
| Less than 50 | 66 |
| Less than 60 | 77 |
| Less than 70 | 92 |
| Less than 80 | 100 |
Q. 3. Using step deviation method, find the mean of the following data:
| Weight(in Kg) | 25 - 31 | 31 - 37 | 37 - 43 | 43 - 49 | 49 - 55 | 55 - 61 |
| No.of students | 10 | 6 | 8 | 12 | 5 | 9 |
Q. 4. Draw a less than ogive for the following data and estimate the median from it.
| C.I. | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 |
| Frequency | 5 | 14 | 19 | 27 | 43 | 29 | 16 | 12 | 5 |
Q. 5. The annual profit earned by 30 shops of a shopping complex in a locality give rise to the following distribution:
| Profit (in lakhs Rs) | Number of Shops (frequency) |
| More than or equal to 5 | 30 |
| More than or equal to 10 | 28 |
| More than or equal to 15 | 16 |
| More than or equal to 20 | 14 |
| More than or equal to 25 | 10 |
| More than or equal to 30 | 7 |
| More than or equal to 35 | 3 |
Draw both ogives for the above data and obtain the median profit.
