Maths (commerce) Solve the Following Question.(4 Marks)

A company produces tables which are packed in batches of 100. An analysis of the defective tubes in different batches has received the following information:

No. of defectivetubes	less than 5	5-9	10-14	15-19	20-24	25-29	30 and above
NO.of tubes	45	51	84	39	20	8	4

estimate the number of defective tubes in the central batch.

The following frequency distribution shows the weight of students in a class.

Weight (In Kg)	40	45	50	55	60	65
No. Of Student	15	40	29	21	10	5

(a) Find the percentage of students whose weight is more than 50 kg.
(b) If the weight column provided is of mid values then find the percentage of students whose weight is more than 50 kg.

Calculate 2nd decile and 65th percentile for the following:

x	80	100	120	145	200	280	310	380	400	410
f	15	18	25	27	40	25	19	16	8	7

In a particular factory, workers produce various types of output units. The following distribution was obtained:

Outputs Unit Produced	No Of Workers
70-74	40
75-79	45
80-84	50
85-89	60
90-94	70
95-99	80
100-104	100

Find the percentage of workers who have produced less than 82 output units.

Following is grouped data for the duration of fixed deposits of 100 senior citizens from a certain bank:

Fixed Deposite (in Days)	0-180	180-360	360-540	540-720	720-900
No. Of Citizen	15	20	25	30	10

Calculate the limits of fixed deposits of central 50% senior citizens.

Calculate all the quartiles for the following frequency distribution: