Maths (commerce) Solve the Following Question.(3 Marks)

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

The following is the frequency distribution of heights of 200 male adults in a factory:

Height in cm.	No. of male adults
145-150	4
150-155	6
155-160	25
160-165	57
165-170	64
170-175	30
175-180	8
180-185	6

Find the central height.

For the following data of daily expenditure of families (in ₹), compute the expenditure below which 75% of families include their expenditure.

Daily Expenditure (in ₹)	350	450	550	650	750
No. of families	16	19	24	28	13

The heights (in cm.) of 10 students are given below:
148, 171, 158, 151, 154, 159, 152, 163, 171, 145

Compute all the quartiles for the following series of observations:
16, 14.9, 11.5, 11.8, 11.1, 14.5, 14, 12, 10.9, 10.7, 10.6, 10.5, 13.5, 13, 12.6