Exercise 1

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Stat 101
Majmaah University
College of Engineering
STAT 101
1432/2011
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Sheet (1)
1. Briefly explain the terms: population, sample, representative sample,
and random sample.
2. Explain whether each of the following constitutes a population or a
sample?
a. Credit card debt of 100 families selected from a city
b. Ages of all members of a family
c. Amount spent on prescription drugs by 200 senior citizens in a
large city.
d. Scores of all students in statistics in statistics class.
3. A population in statistics means a collection of all
a. Men and women
b. Subjects or objects of interest
c. People lining in a country
4. A sample in statistics means a portion of the
a. People selected from the population of a country
b. People selected from the population of an area
c. Population of interest.
5. Indicate which of the following an example of a sample with
replacement is and which is a sample without replacement.

Dr. SaMeH
Ten students are selected from a statistics class in such a way that as soon as
a student is elected, his or her name is deleted from the list before the next
student is selected.
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Stat 101

A box contains five balls of different colours. A ball is drawn from this box, its
colour is recorded, and it is put back into the box before the next ball is
drawn, this experiment is repeated 12 times.
6. The following table gives the number of crimes reported to police last
year in six cities.
City
No. of crimes
50
250
60
40
35
20
Riyadh
Cairo
Tripoli
Dubai
Kuwait
Aden
Briefly explain the meaning of a member, a variable, a
measurement, and a data set with reference to this table.
7. The following table lists five pairs of m and f values.
m 5
10 17 20
25
f
12 8
6
16
4
Compute the value of each of the following:
a)  m
b)  f2
c)  m f
d)  m2 f
8. The following table lists six pairs of x and y values.
x
y
Compute:
a)  x
b)  y
Dr. SaMeH
4
12
18
5
25
14
c)  xy
9
7
12
12
d)  x2
20
8
e)  y2
f)  x2 y
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