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Statistical Analysis Question Paper

Statistical Analysis

Course:Bachelor Of Science

Institution: Kenyatta University question papers

Exam Year:2009

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2008/2009
SECOND SEMESTER EXAMINATION FOR THE DEGREE OF
BACHELOR OF SCIENCE

SSS 302: STATISTICAL ANALYSIS

DATE: Friday
21st August 2009
TIME: 2.00pm-4.00pm
------------------------------------------------------------------------------------------------------------
INSTRUCTIONS
ANSWER ANY THREE QUESTIONS
Q1. a) Differentiate
between
correlation and regression
b)
A physical education teacher was interested in the topic of attitude and
wanted to know if there was any relationship between attitude and a
persons performance in physical performance in physical activities. She
tabulated the attitudes scores for 12 first year students. She ranked the 12
students for performance in physical fitness test battery. The attitude
scores and the creativity ranking are shown below:
Student A B C
D
E
F
G
H
I J
K
L
Attitude
59 65 72 55
49
50
70 65 40 52 64 32
Score
Performance 4 2 6 5
8
3
9 7 11 1 12 10
Rank

Determine if there was any relationship between vocabulary and creativity.

Q2.
The following grouped data shows the scores on a statistics test for 100 students.
Scores f
Scores f
90-92 1
69-71 2
87-89 11
66-68 4
84-86 21
63-65 1
81-83 25
60-62 1
78-80 16

75-77 9

72-74 9

Page 1 of 2

Use the respective grouped data formula to calculate the mean, median, mode and
standard deviation. Explain the skewness of the distribution.
[24marks]

Q3.
a)
Using examples from recreation and movement Science, explain the levels
of
measurement.
b)
Rationalise data organisation.
c)
Analyse any four graphical methods of data presentation.

Q4.
Fifty high school students are chosen random from the junior class at a local high
school and are given an examination on their knowledge of current sports events.
Their Scores are listed below. Calculate the mean, range and standard deviation.
X 9 11 11 22 6 29 21 8 35 28 10 25 1 21 28 34 19
10 25 1
21 28 34 19 12 12 25
14 22 26 33 4
24 26 2
13 22
19 26 16 16 18 31 22 30 23 15
20 20 32 9
27 30 10 21 15 37

Q5.
a) Expound on the properties of the normal distribution curve.
[12marks]
b) The chief designer in the sports Technology department has designed a new
set of protective gear for rugby players. The designer has collected Physical
measurement data on 100 players whose mean chest circumstances is 97.5cm
with a standard deviation of 6.25cm. Assuming that this group is a random
sample of all players and that the distribution is normal.
i)
Determine the percentage of the population that has a chest
measurement of over 110cm.

[3marks]
ii)
If the designer wants his design to fit the middle 99% of all players
what range of chest measurement will be over 110cm? [3marks]
iii)
A husky lad claims that he is in top 1% in chest expansion.
Determine what his measurements would have to be in order for
him to make his claim.

[3marks]
iv)
What is the probability that a rugby player, chosen at random
would have a chest measurement of less than 92.5cm? [3marks]
Page 2 of 2

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