ASSIGNMENT No. 1
(Units 1–5)
Q.1 a) Define and explain the terms: Descriptive and inferential Statistics.
b) Expand the following summation and product notations.
i)
c) Following statements are true or false, if false, write correct
i) The numerical quantity calculated from the population is called statistics.
ii) Statistics deals with single fact.
iii) Primary data and ungrouped data are same.
iv) Height of the student is a quantitative and continuous variable.
v) A small part of the population is called subset.
Q.2 a) The following information is available about the age in years and their weights in kilograms
(age, weight).
Make a scatter plot and appropriate bivarite frequency distribution.
(20, 60), (15, 55), (14, 45), (17, 60), (16, 48), (22, 70), (16, 63), (14, 55),
(18, 57), (19, 67), (21, 67), (17, 65) (13, 60), (15, 60), (17, 49), (19, 65), (23, 73), (21, 65),
(22, 70), (14, 50), (16, 60), (19, 59), (15, 62), (17, 59), (24, 75)
b) Construct a Histogram for the following frequency distribution giving the steps involved.
Mid values (x)
32
37
42
47
52
57
62
67
Frequency (f)
3
17
28
47
54
31
14
4
Q.3 a) Calculate the 5th percentile, Quartiles, mode and Coefficient of Variation for the following
data
Groups Frequency Groups Frequency
0-4.9 3 25-29.9 13
5-09.9 4 30-34.9 13
10-14.9 9 35-39.9 5
15-19.9 11 40-44.9 2
20-24.9 15 45-49.9 2
b) Define the terms i) Absolute dispersion ii) Relative dispersion.
Q.4 a) Write down the properties of arithmetic mean and variance. What is the importance of
coefficient of variation?
b) Computer calculated mean and standard deviation from 20 observations as 42 and 5
respectively. It was later discovered at the time of checking that it had copied down two
values as 45 and 38 whereas the correct values were 35 and 58 respectively. Find the correct
value of co-efficient of variation.
c) Given that
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