Find the mean of the following frequency distribution using assumed mean method.

Class	2-8	8-14	14-20	20-26	26-32
Frequency	6	3	12	11	8

3

(a)

Find the mean of the following data, by using step deviation method.

Class	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	4	28	15	20	17	16

3

(a)

In a health checkup, the number of heart beats of  women were recorded in the following table

Number of heart beats/minute	65-69	70-74	75-79	80-84
Number of women	2	18	16	4

 Find the mean of the data.

3

(a)

An NGO working for welfare of cancer patients, maintained its records as follows:

Age of patients (in years)	0-20	20-40	40-60	60-80
Number of patients	35	315	120	50

find mode. 

3

(a)

If the mode of the following series is 54, then find the value of f.

Class	0-15	15-30	30-45	45-60	60-75	75-90
Frequency	3	5	f	16	12	7

3

(a)

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

Write the above distribution as 'less than type' cumulative frequency distribution. 

3

(a)

Find the mean of the following data:

Classes	0-20	20-40	40-60	60-80	80-100	100-120
Frequency	6	8	10	12	8	4

3

(a)

Find the mean of the following distribution using step deviation method

Class	20-30	30-40	40-50	50-60	60-70
Frequency	25	40	42	33	10

3

(a)

Find the mean and median for the following data:

Class	0-10	10-20	20-30	30-40	40-50
Frequency	8	16	36	34	6

3

(a)

If the median of the following data is 240, then find the value of f:

Classes	0-100	100-200	200-300	300-400	400-500	500-600	600-700
Frequency	15	17	f	12	9	5	2

3

(a)

Prove that \(\sum { \left( { x }_{ i }-\bar { x } \right) =0 } \)

3

(a)

The mean of 'n' observations is \(\bar { x } \), if the first term is increased by 1, second by 2 and so on. What will be the new mean?

3

(a)

Weekly income of 600 families is given below

Income (in Rs)	0-1000	1000-2000	2000-3000	3000-4000	4000-5000	5000-6000
No of Families	250	190	100	40	15	5

3

(a)

The mean of the following distribution is 53. Find the missing frequency p :

Class	0-20	20-40	40-60	60-80	80-100
Frequency	12	15	32	p	13

3

(a)

Find the mean for the following data:

Class	24.5-29.5	29.5-34.5	34.5-39.5	39.5-44.5	44.5-49.5	49.5-54.5	54.5-59.5
Frequency	4	14	22	16	6	5	3

 

3

(a)