Maths 3 Marks Question

The adjoining pie-diagram shows the percentage distribution of the expenditure incurred in publishing a book. Study the diagram and answer the questions:
(a) If for certain quantity of books, the publisher has to pay ₹ 30,600 as printing, then what will be the amount of royalty to be paid for these books?
(b) What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

The following table shows the ages of 300 patients getting medical treatment in a hospital on a particular day.

Age in years	10-20	20-30	30-40	40-50	50-60	60-70
No. of patients	60	42	55	70	53	20

Find the median age of patients.

Rainfall (in mm) recorded in 50 cities in a partial region on a particular day is given below.

Rainfall in mm	36-39	40-43	44-47	48-51	52-55	56-59	60-63
No. of cities	6	7	10	7	7	9	4

Find the mean rainfall on that day in a city by Assumed Mean method.

The following table gives the distribution of total household expenditure (in rupee) of workers in a city.

Expenditure (in rupees)	100-150	150-200	200-250	250-300	300-350	350-400	400-450
No. of workers	24	40	33	28	30	22	16

Find the mean expenses per household by step deviation method.

Find the mean marks of the student from the following cumulative frequency distribution.

Marks	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60	Below 70	Below 80	Below 90
No. of students	5	9	17	29	45	60	70	78	83

A study related to time (in months) taken to settle a dispute in a lower court resulted the following data.

Time (in months	0 - 2	2 - 4	4 - 6	6 - 8	8 - 10	10 -12
No. of disputes	15	90	120	75	70	50

Find the mean time taken to settle a dispute in a lower court.

The following table shows the ages of 300 patients getting medical treatment in a hospital on a particular day.

Age in years	10-20	20-30	30-40	40-50	50-60	60-70
No. of patients	60	42	55	70	53	20

Find the median age of patients.

The following table gives the distribution of total household expenditure (in rupee) of workers in a city.

Expenditure (in rupees)	100-150	150-200	200-250	250-300	300-350	350-400	400-450
No. of workers	24	40	33	28	30	22	16

Find the mean expenses per household by step deviation method.

The adjoining pie-diagram shows the percentage distribution of the expenditure incurred in publishing a book. Study the diagram and answer the questions:
(a) If for certain quantity of books, the publisher has to pay ₹ 30,600 as printing, then what will be the amount of royalty to be paid for these books?
(b) What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

Rainfall (in mm) recorded in 50 cities in a partial region on a particular day is given below.

Rainfall in mm	36-39	40-43	44-47	48-51	52-55	56-59	60-63
No. of cities	6	7	10	7	7	9	4

Find the mean rainfall on that day in a city by Assumed Mean method.

Find the mean marks of the student from the following cumulative frequency distribution.

Marks	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60	Below 70	Below 80	Below 90
No. of students	5	9	17	29	45	60	70	78	83

A study related to time (in months) taken to settle a dispute in a lower court resulted the following data.

Time (in months	0 - 2	2 - 4	4 - 6	6 - 8	8 - 10	10 -12
No. of disputes	15	90	120	75	70	50

Find the mean time taken to settle a dispute in a lower court.