Statistics (C10)

Mean, median and mode of grouped data

The following frequency distribution shows the distance thrown by 68 students

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.

The following distribution shows the daily pocket allowance of children of a locality

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.

By changing the following frequency distribution ‘to less than type’

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

Find the mean and mode for the following data

Find the mean and mode for the following data:

The table below shows the salaries of 280 persons

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.

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

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

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

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.

Find the mode of the following distribution of marks obtained by the students

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.