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Tutorial -1
Q1. Find the value ofp for the following distribution whose mean
is 16.6.
x 8 12 15 p 20 25 30f 12 16 20 24 16 8 4
Q2. A firm of readymade garments make both mens and womens
shirts. Its
profit average is 6% of sales. Its profits in mens shirts
average 8% of sales; and
womens shirts comprise 60% of output. What is the average profit
per sales
rupee in womens shirts.
Q3. The mean of the following frequency table is 50. But the
frequencies f1, and f2in classes 20-40 and 60-80 are missing. Find
the missing frequencies.
Class 0-20 20-40 40-60 60-80 80-100 Total
Frequency 17 f1 32 f2 19 120
Q4. The average dividend declared by a group of 10 chemical
companies was
18%. Later on, it was discovered that one correct figure, 12,
was misread as 22.
Find the correct average dividend.
Q5. The mean yearly salary paid to all employees in a company
was Rs.
24,00,000. The mean yearly salaries paid to male and female
employees were Rs
25,00,000 and 19,00,000, respectively. Find out the percentage
of male to female
employees in the company.
Q6. A candidate obtains the following percentages in an
examination. English
46%, Mathematics 67%, Sanskrit 72%, Economics 58%, Political
Science 53%. It is
agreed to give double weight to marks in English and Mathematics
as comparedto other subjects. What is the weighted mean?
Q7. A car owner buys petrol at Rs. 7.50, rs 8.00 and Rs 8.50 per
liters for three
successive years. Compute the average cost per litre of petrol
when he spends Rs.
4000 each year.
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Q8. The median of the following observations arranged in the
ascending order:
11,12,14,x+2, x+4, 30, 32, 35, 41 is 24. Find x.
Q9. The following table shows age distribution of persons in a
particular region:
Age(years) No. of persons
Below 10 2
20 5
30 9
40 17
50 14
60 15
70 15.5
Above 70 15.6
Find the median and mode of the following data.
Q10. The arithmetic mean height of 50 students of a college is
58. The height of
30 these are given in the frequency distribution below. Find the
arithmetic mean
height of the remaining 20 students.
Height in
inches
54 56 58 510 60
Frequency 4 12 4 8 2
Q11. Mr. Gupta, a readymade garment store owner, advertises: If
our average
prices are not equal or lower than everyone elses, you get it
free. One customer
came into the store one day and threw on the counter bills of
six items he had
bought from a competitor for an average price less than Guptas.
The items cost
(in Rs.) 201.50 202.97, 203.49, 205.00, 207.5, 210.95,
The prices for the same six items at Mr. Guptas store are (in
Rs.): 201.35,
202.89, 203.19, 204.98, 207.59, and 211.50. Mr. Gupta
told the customer, my advertisement refers to a weighted average
price of these
items. Our average is lower because our sales of these items
have been: 207, 209,
212, 208, 206, and 203(in units).
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12. The rise in the price of a certain commodity was 5% in 1995,
8% in 1996,
and 77% in 1997. It is said that the average price rise between
1995 and 1997 was
14.55% and 30% . Justify the statement and show how you would
explain it
before a layman.
