STT205

Category: STT205

STT205

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A. What is the geometric mean of 3, 5, 6, and 7

1. 4.33

2. 5.01

3. 3.21

4. 4.21

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The sum of the squares of the deviations of the values of a variable is least when the deviations are measured from: ____________

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The sum of deviations taken from mean is: _______________

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D. A set of data with only one mode is said to be __________

1. uniquemodal

2. unicmodal

3. singlemodal

4. unimodal

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If the arithmetic mean of the two numbers X1 and X2 is 5 if X1=3, then X2 is:_________

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If a constant value is added to every observation of data, how would the value of the arithmetic mean behave? ________

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

1. 0.23

2. 2.27

3. 5.72

4. 0.72

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The sum of the squares of the deviations about mean divided by the number of observations is: ________

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If âˆ‘i=110Xi-50=100 then sample mean X- will be: ________

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Step deviation method or coding method is used for computation of the______

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K. What is the range of the set of data in the below

1. 6.5

2. 21

3. 17

4. 6

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L. A frequency curve of a normal distribution is ____ shaped

1. cup

2. bell

3. octagon

4. oblong

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M. The first step involved in constructing a group frequency distribution is to _________ (a) (b) count the number of items

1. tally

2. determine the number of classes

3. distribute

4. count the number of items

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N. 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

1. 0.937

2. 0.8625

3. 0.9

4. 0.8825

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O. ____ statistics deals with methods of organizing, summarizing and presenting data in an informative way

1. Descriptive

2. Frequency

3. Inferential

4. Inductive

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When all the values in a series occur the equal number of times, then it is not possible to calculate the:__________

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The median is considered a robust measure because it is resistant to: ________

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R. _____ is the degree of peakness of a distribution

1. platykurtic

2. symmetry

3. kurtosis

4. variation

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Sum of absolute deviations of the values is least when deviations are taken from: ________

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When the values in a series are not of equal importance, we calculate the: _____________

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U. Which of the following is not a source of data?

1. Micro-statistical information

2. Macro-statistical information

3. Statistical information in business

4. survey designs

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V. 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}

1. 15.5

2. 10.5

3. 25.5

4. 19.5

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W. ____ is not an advantage of secondary data

1. They are inexpensive to collect

2. They are available on a wide range of subjects

3. They can be used to establish trends for forecasting

4. They are the most appropriate for any statistical work

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The sum of deviations is zero when deviations are taken from:________

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Y. Which of these is closer to the mode for a skewed distribution?

1. modal

2. skewness

3. median

4. mean

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The arithmetic mean is highly affected by: ________

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AA.

Ten families have an average of 2 boys. How many boys do they have together?

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AB.

What effect will the elimination of extreme scores at the bottom of a data set have on the mean? ______

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AC. 36. If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the mean

1. 5.7

2. 5.75

3. 9.7

4. 15.7

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AD.

 If the smallest observation in a data is decreased, the average which is not affected is: ____

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AE.

The arithmetic mean of 10 items is 4 and the arithmetic mean of 5 items is 10. The combined arithmetic mean is: ______

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AF.

The midpoint of the values after they have been ordered from the smallest to the largest or the largest to the smallest is called:____

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AG.

The population mean Î¼ is an example of a: _________

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AH.

 If the arithmetic mean of 20 values is 10, then sum of these 20 values is:_____

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AI. The square root of the sum of deviations of a set of numbers from their arithmetic mean is

1. minimum

2. zero

3. standard deviation

4. maximum

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AJ. If the mode of the distribution is X the [frac{X}{2}] in the table below is _____________

1. 18

2. 9

3. 3

4. 2.5

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AK. 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

1. 7

2. 11

3. 6

4. 8

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AL. ____ is not an axiom of probability

1. \[P(E)\leq 1\]

2. \[P(\Omega)= 0\]

3. \[P(E)\leq 0\]

4. \[P(\Omega)= 1\]

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AM. The difference between the harmonic mean of 2, 4, 8 and their geometric mean is __________

1. 0.48

2. 0.47

3. 0.67

4. 0.57

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AN. The addition rule of probability is used for ___ events

1. dependent

2. independent

3. mutually inclusive

4. mutually exclusive

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AO.

The sample mean X- is an example of a: ________________

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AP. If at least one of the events of an experiment can occur, then they are said to be ________ events

1. mutually exclusive

2. collectively exhaustive

3. dependent

4. independent

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AQ. The 75th percentile is the same as the ____ quartile

1. 2nd

2. 1st

3. 4th

4. 3rd

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

1. 4.0

2. 4.5

3. 3.0

4. 1.0

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AS. Calculate the standard deviation of the set of data in the table below

1. 51.56

2. 13.73

3. 56.65

4. 56.51

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AT. A characteristics that assumes different values for different entities is called __________________

1. sample

2. population

3. random

4. variable

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AU.

Any measure indicating the Centre of a set of data, arranged in an increasing or decreasing order of magnitude, is called a measure of: ______

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AV.

Given X1=20 and X2=-20. The arithmetic mean will be: ________

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AW. ______ is not a measure of dispersion

1. mean

2. standard deviation

3. coefficient of variation

4. variance

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AX. The square root of the sum of deviations of a set of numbers from their arithmetic mean is ___________

1. zero

2. standard deviation

3. minimum

4. maximum

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AY. Primary data is not collected through ___________

1. observations

2. gazettes

3. experiments

4. surveys

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AZ. The following are examples of discrete random variables except

1. Normal Distribution

2. Binomial distribution

3. Bernoulli distribution

4. Poisson Distribution

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BA. An impossible event has the probability ______

1. 0

2. 1

3. 0.25

4. 0.5

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BB. 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

1. 20

2. 17

3. 11

4. 10

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BC.

The suitable average for qualitative data is: ________

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BD.

Scores that differ greatly from the measures of central tendency are called:_________

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BE. What is the relative cumulative frequency of 50 in the table below

1. \[\frac{7}{20}\]

2. 1

3. 16

4. \[\frac{4}{5}\]

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BF.

The elimination of extreme scores at the top of the set has the effect of:_________

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BG. 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

1. 63%

2. 2.90

3. 3.90

4. 3.10

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BH.

The total of all the observations divided by the number of observations is called: ______

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BI.

 The first step in calculating the median of a discrete variable is to determine the: _______

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BJ. Calculate 70% of the mean of the set of data in the table below

1. 2.975

2. 29.75

3. 4.25

4. 42.5

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BK. What is the probability of not getting a 1 in the toss of a single die?

1. \[\frac{2}{3}\]

2. \[\frac{3}{5}\]

3. \[\frac{5}{6}\]

4. \[\frac{1}{6}\]

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BL. What is the cumulative frequency of 40 in table below?

1. 7

2. 9

3. 10

4. \[\frac{9}{20}\]

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BM.

The frequency distribution of the hourly wage rate of 60 employees of a paper mill is as follows: The mean wage rate is:N______

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BN. Any arrangement of r objects selected from a single group of n possible objects is called a ___________

1. factorial

2. permutation

3. notation

4. combination

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BO. The sum of the frequencies of 16 and 18 in the table below is _____________

1. 12

2. 3

3. 14

4. 15

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BP. Which of the following statement does not represent a role of statistics in the society?

1. Government uses statistics only for census

2. Businesses use statistics to monitor the national economy

3. Government uses statistics as a tool for collecting economic aggregates

4. Government uses statistics to measure the effect of external factors on its policies

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BQ.

The mean of 10 observations is 10. All the observations are increased by 10%. The mean of increased observations will be: ______

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BR. There are 5 different items to be stocked in a store with 3 bins for the storage. What are the possible number of arrangements?

1. 37

2. 55

3. 60

4. 36

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