STT205 TMA

Q1 The 75th percentile is the same as the ____ quartile
1st
2nd
3rd
4th

Q2 Which of these is closer to the mode for a skewed distribution
median
skewness
mean
modal

Q3 The difference between the harmonic mean of 2, 4, 8 and their geometric mean is
0.47
0.57
0.67
0.48

Q4 The empirical relationship between the mean and median is given by; mean �?? mode = x(mean �?? median) in the table below . Then x is _________________
4.5
3.0
4.0
1.0

Q5 If the mode of the distribution is X the \[\frac{X}{2}\] in the table below is _____________
9
3
18
2.5

Q6 The sum of the frequencies of 16 and 18 in the table below is _____________
15
3
12
14

Q7 What is the range of the set of data in the below
6.5
17
6
21

Q8 Any arrangement of r objects selected from a single group of n possible objects is called a ___________
factorial
combination
notation
permutation

Q9 What is the probability of not getting a 1 in the toss of a single die
\[\frac{1}{6}\]
\[\frac{3}{5}\]
\[\frac{5}{6}\]
\[\frac{2}{3}\]

Q10 ______ is not a measure of dispersion
mean
variance
standard deviation
coefficient of variation

Q11 A frequency curve of a normal distribution is ____ shaped
cup
bell
oblong
octagon

Q12 Calculate the standard deviation of the set of data in the table below
56.65
51.56
56.51
13.73

Q13 Calculate 70% of the mean of the set of data in the table below
2.975
29.75
42.5
4.25

Q14 What is the relative cumulative frequency of 50 in tha table below
\[\frac{4}{5}\]
\[\frac{7}{20}\]
1
16

Q15 What is the cumulative frequency of 40 in table below
\[\frac{9}{20}\]
9
7
10

Q16 Which of the following is not a source of data
Micro-statistical information
Macro-statistical information
Statistical information in business
survey designs

Q17 ____ is not an advantage of secondary data
They are inexpensive to collect
They are available on a wide range of subjects
They can be used to establish trends for forecasting
They are the most appropriate for any statistical work

Q18 Primary data is not collected through
surveys
observations
experiments
gazettes

Q19 Which of the following statement does not represent a role of statistics in the society
Government uses statistics as a tool for collecting economic aggregates
Government uses statistics only for census
Businesses use statistics to monitor the national economy
Government uses statistics to measure the effect of external factors on its policies

Q20 A characteristics that assumes different values for different entities is called __________________
sample
population
variable
random

Q21 _____ is the degree of peakness of a distribution
symmetry
platykurtic
variation
kurtosis

Q22 What is the geometric mean of 3, 5, 6, and 7
3.21
5.01
4.33
4.21

Q23 A Poisson distribution is given by \[p(x)=\frac{0.72^{x} e^{-0.72}}{x!}\]. Calculate the variance
0.23
0.72
5.72
2.27

Q24 The addition rule of probability is used for ___ events
independent
mutually exclusive
) mutually inclusive
dependent

Q25 ____ is not an axiom of probability
\[P(E)\leq 0\]
\[P(\Omega)= 0\]
\[P(E)\leq 1\]
\[P(\Omega)= 1\]

Q26 The square root of the sum of deviations of a set of numbers from their arithmetic mean is
zero
standard deviation
minimum
maximum

Q27 There are 5 different items to be stocked in a store with 3 bins for the storage. What are the possible number of arrangements
36
60
55
37

Q28 The following are examples of discrete random variables except
Bernoulli distribution
Binomial distribution
Poisson Distribution
Normal Distribution

Q29 36. If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the mean
5.75
5.7
15.7
9.7

Q30 In an examination the score obtained is weighted 3 times as much as a test score. If a student scored 85% in the examination with a test score of 90%, what is his mean score
0.8625
0.8825
0.937
0.9

Q31 A student scored 45% in MTH101, 62% in MTH102, 30% in BUS103, and 70% in ACC101. Find his GPA if the respective credits are 3, 2, 2, 3
3.10
2.90
63%
3.90

Q32 Suppose there are 70 students in an examination with the students writing at least one of the subjects; Chemistry, Physics and Biology. Thirty(30) students offer Physics, 33 offer Chemistry and 40 offer biology, 10 students offer both Physics and Chemistry. Fourteen (14) of the students offer Physics and Biology, and 15 of them offer Biology and Chemistry. How many students offer only Biology
11
17
10
20

Q33 Suppose there are 70 students in an examination with the students writing at least one of the subjects; Chemistry, Physics and Biology. Thirty(30) students offer Physics, 33 offer Chemistry and 40 offer biology, 10 students offer both Physics and Chemistry. Fourteen (14) of the students offer Physics and Biology, and 15 of them offer Biology and Chemistry. Find the number of students that offer all subjects
11
6
7
8

Q34 An impossible event has the probability
1
0
0.5
0.25

Q35 The first step involved in constructing a group frequency distribution is to _________ (a) (b) count the number of items
tally
count the number of items
distribute
determine the number of classes

Q36 The square root of the sum of deviations of a set of numbers from their arithmetic mean is
zero
standard deviation
minimum
maximum

Q37 A set of data with only one mode is said to be
unicmodal
uniquemodal
singlemodal
unimodal

Q38 What is the sum of the medians of {3, 4, 4, 5, 6, 8, 8, 10} and {5, 5, 7, 9, 11, 12, 15, 18}
15.5
10.5
19.5
25.5

Q39 ____ statistics deals with methods of organizing, summarizing and presenting data in an informative way
Descriptive
Inferential
Frequency
Inductive

Q40 If at least one of the events of an experiment can occur, then they are said to be ___ events
collectively exhaustive
independent
mutually exclusive
dependent

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