Partition Values (p-2) Maths (commerce) - Partition Values (p-2)

The median weight of a group of 79 students is found to be 55 kg. 6 more students are added to this group whose weights are 50, 51, 52, 59.5, 60, 61 kg. What will be the value of the median of the combined group if the lowest and the highest weights were 53 kg and 59 kg respectively?

In a group of 25 students, 7 students failed and 6 students got distinction and the marks of the remaining 12 students are 61, 36, 44, 59, 52, 56, 41, 37, 39, 38, 41, 64. Find the median marks of the whole group.

The following is the data of pocket expenditure per week of 50 students in a class. It is known that the median of the distribution is ₹ 120. Find the missing frequencies.

Expendi True Per Week (in ₹)	0-50	50-100	100-150	150-200	200-250
No. Of Student	7	?	15	?	3

The monthly consumption of electricity (in units) of families in a certain locality is given below:
205, 201, 190, 188, 195, 172, 210, 225, 215, 232, 260, 230

Find the missing frequency given that the median of the distribution is 1504.

Life In Hours	950-1150	1150-1350	1350-1550	1550-1750	1750-1950	1950-2150
No. Of Bulbs	20	43	100	-	23	13

The distribution of a sample of students appearing for a C.A. examination is:

Marks	0-100	100-200	200-300	300-400	400-500	500-600
No. Of Students	130	150	190	220	280	130

Help C.A. institute to decide cut-off marks for qualifying for an examination when 3% of students pass the examination.

In the frequency distribution of families given below, the number of families corresponding to expenditure group 2000 – 4000 is missing from the table. However, the value of the 25th percentile is 2880. Find the missing frequency.

Weekly Expenditure (₹ 1000)	0-2	2-4	4-6	6-8	8-10
No. Of Families	14	?	39	7	15

Ten students appeared for a test in Mathematics and Statistics and they obtained the marks as follows:

Sr. No.	1	2	3	4	5	6	7	8	9	10
Marks In Mathe Matics	42	38	36	32	23	25	35	37	25	23
Marks In Statics	22	26	29	34	50	45	23	28	32	36

If the median will be the criteria, in which subject, the level of knowledge of the students is higher?

For the following data showing weights of 100 employees, find the maximum weight of the lightest 25% of employees.

Weight (Kg)	45-50	50-55	55-60	60-65	65-70	70-75	75-80
No. of employees	6	8	15	26	20	14	11

The median of the following incomplete table is 92. Find the missing frequencies:

CI	30-50	50-70	70-90	90-110	110-130	130-150	TOTAL
F	6	?	18	20	?	10	80

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.

The I.Q. test of 500 students of a college is as follows:

I.Q.	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Number Of Student	41	52	64	180	67	45	40	11

Find graphically the number of students whose I.Q. is more than 55 graphically.

Determine graphically the value of median, D3, and P35 for the data given below:

Class	10-15	15-20	20-25	25-30	30-35	35-40	40-45
Frequency	8	14	8	25	15	14	6

Weight (Kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75	75-80
No. of persons	4	15	20	30	20	10	8	4

For the above data, find all quartiles and number of persons weighing between 57 kg and 72 kg.

Find Q1, D6 and P78 for the following data:

C.I.	8-8.95	9-9.95	10-10.95	11-11.95	12-12.95
F	5	10	20	10	5