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Crss 302: Social Statistics Question Paper

Crss 302: Social Statistics

Course:Bachelor Of Arts In Criminology And Security Studies

Institution: Chuka University question papers

Exam Year:2013

CHUKA

UNIVERSITY

UNIVERSITY EXAMINATIONS
THIRD YEAR EXAMINATIONS FOR THE AWARD OF DEGREE OF BACHELOR OF ARTS IN CRIMINOLOGY AND SECURITY STUDIES
CRSS 302: SOCIAL STATISTICS
STREAMS: CRSS Y3S1 TIME: 2 HOURS
DAY/DATE: FRIDAY 19/4/2013 11.30 AM – 1.30 PM
INSTRUCTIONS:

Answer question ONE and any other THREE questions.

1. (a) State and explain briefly the four measurement scales used in social research.
[8 Marks]
(b) Distinguish between:

(i) Sample and population
(ii) Statistics and statistic
(iii) Discrete and continuous data. [6 Marks]

(c) Describe two situations where mean is not appropriate as a measure of central
tendency. Suggest alternative measures under such circumstances. [3 Marks]

(d) Using the following data;
34, 31, 28, 25, 22, 19, 16, 13, 28, 14, 25, 28, 31, 12, 28.

Determine;

(i) Mode
(ii) Range
(iii) Median. [6 Marks]

(e) State three disadvantages of graphical representation of data over numerical
representation. [3 Marks]

2. Using the data given below, determine;

Class Interval Frequency
25 – 27 2
28 – 30 4
31 – 33 8
34 – 36 7
37 – 39 5
40 – 42 3
43 - 45 1

(i) Modal class [2 Marks]
(ii) Median [2 Marks]
(iii) Interquartile range [4 Marks]
(iv) Mean [2 Marks]
(v) Variance [4 Marks]
(vi) Standard deviation. [1 Mark]

3. In a certain month the electricity bill of 50 residents of Chuka town were as follows in Kenya shillings:

2245 720 800 2165 281 4200 468 1511
5834 340 4130 5011 2011 995 756
961 3320 2167 3093 1680 306 922
783 459 5475 1382 3988 255 299
1711 6521 1085 4092 422 3365 952
481 2368 1011 650 268 2420 659
849 4110 1525 1245 4904 1645 167

(a) Arrange the data in a frequency distribution table consisting of 8 classes.
[7 Marks]

(b) Draw a histogram to represent the data. [4 Marks]

(c) Using the same graph in (b) above, draw a frequency polygon. [4 Marks]

4. (a) What is probability distribution? [1 Mark]

(b) A box contains 4 white and 2 yellow pieces of chalk. A sample of 3 pieces of chalk is selected without replacement. Let the random variable x be the number of white pieces of chalk. Determine the probability distribution of the variable x.
[6 Marks]

(c) A random variable x has a discrete probability distribution given as follows:

X 5 15 9 22 12 6 8
P(x) 0.1 0.2 0.1 0.3 0.1 0.1 0.1

Find:
(i) p(x=12) [2 Marks] (ii) p(x>15) [2 Marks]
(iii) p(9=x=15) [2 Marks]
(iv) p(x<8) [2 Marks]

5. (a) Describe the characteristics and the conditions under which each of the
following probability distribution are used in research:

(i) Normal distribution
(ii) Binomial distribution
(iii) Poisson distribution [6 Marks]

(b) Obtain the semi – interquartile range of the following set of data:
[3 Marks]
16, 20, 13, 11, 23, 34, 40, 26, 15, 10, 13, 17, 36, 19, 20.

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Crss 302: Social Statistics Question Paper

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