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1

Calculate the mean for the following distribution:

| 5 | 6 | 7 | 8 | 9 |

| 4 | 8 | 14 | 11 | 3 |

2

Find the mean of the following data:

| 19 | 21 | 23 | 25 | 27 | 29 | 31 |

| 13 | 15 | 16 | 18 | 16 | 15 | 13 |

4

If the mean of the following data is 15. Find *p.*

| 5 | 10 | 15 | 20 | 25 |

| 6 |
| 6 | 10 | 5 |

5

Find the value of *p* for the following distribution whose mean is 16.6.

| 8 | 12 | 15 |
| 20 | 25 | 30 |

| 12 | 16 | 20 | 24 | 16 | 8 | 4 |

6

Find the missing value of *p*, for the following distribution whose mean is 12.58.

| 5 | 8 | 10 | 12 |
| 20 | 25 |

| 2 | 5 | 8 | 22 | 7 | 4 | 2 |

7

Find the missing frequency (*p*) for the following distribution whose mean is 7.68.

| 3 | 5 | 7 | 9 | 11 | 13 |

| 6 | 8 | 15 |
| 8 | 4 |

8

Find the value of *p*, if the mean of the following distribution is 20.

| 15 | 17 | 19 | 20+ | 23 |

| 2 | 3 | 4 | 5 | 6 |

9

Find the mean of the following distribution.

| 10 | 12 | 20 | 25 | 35 |

| 3 | 10 | 15 | 7 | 5 |

10

Candidates of four schools appear in a mathematics test. The data were as follows:

Schools | No. of Candidates | Average Score |

I II III IV | 60 48 Not available 40 | 75 80 55 50 |

If the average score of the candidates of all the four school is 66, find the number of candidates that appeared from school III.

11

Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.

No. of heads per toss | No. of tosses |

0 1 2 3 4 5 | 38 144 342 287 164 25 |

Total | 1000 |

12

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50.

| 10 | 30 | 50 | 70 |
| |

| 17 |
| 32 |
| 19 | Total 120. |

5

The demand of different shirt sizes, as obtained by a survey, is given below:

Size | 38 | 39 | 40 | 41 | 42 | 43 | 44 |

Number of persons (wearing it) : | 26 | 39 | 20 | 15 | 13 | 7 | 5 |

Total = 125 |

Find the modal shirt sizes, as observed from the survey.

9

Mode is