Statistics

1

The following frequency distribution shows the distance (in metres) thrown by 68 students in a Javelin throw competition.

Draw a less than type Ogive for the given data and find the median distance thrown using this curve.

2

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency k.

3

By changing the following frequency distribution ‘to less than type’ distribution, draw its ogive.

4

Find the mean and mode for the following data:

5

The table below shows the salaries of 280 persons:

Salary (In thousand Rs.) No. of persons
5-10 49
10-15 133
15-20 63
20-25 15
25-30 6
30-35 7
35-40 4
40-45 2
45-50 1

Calculate the median salary of the data.

6

The mean of the following distribution is 18. Find the frequency f of the class 19 - 21.

Class 11-13 13-15 15-17 17-19 19-21 21-23 23-25
Frequency 3 6 9 13 f 5 4
7

The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rs.) 100-120 120-140 140-160 160-180 180-200
Number of workers 12 14 8 6 10

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

8

Find the mode of the following distribution of marks obtained by the students in an examination:

Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.