STT205

Category: STT205

ATTENTION:

Kindly note that you will be presented with 50 questions randomized from the NOUN question bank. Make sure to take the quiz multiple times so you can get familiar with the questions and answers, as new questions are randomized in each attempt.

Good luck!

STT205

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1. 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

A. 17

B. 10

C. 20

D. 11

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

A. 9

B. 18

C. 3

D. 2.5

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The population mean Î¼ is an example of a: _________

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

A. tally

B. count the number of items

C. determine the number of classes

D. distribute

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

A. 55

B. 37

C. 60

D. 36

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The arithmetic mean is highly affected by: ________

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

A. Businesses use statistics to monitor the national economy

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

C. Government uses statistics only for census

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

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

A. 17

B. 6.5

C. 21

D. 6

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

A. permutation

B. factorial

C. combination

D. notation

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11.

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

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12.

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

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

A. 4th

B. 1st

C. 2nd

D. 3rd

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

A. 42.5

B. 4.25

C. 29.75

D. 2.975

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

A. 0.57

B. 0.67

C. 0.47

D. 0.48

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16. ____ is not an axiom of probability

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

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

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

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

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17.

The suitable average for qualitative data is: ________

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18.

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

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19.

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

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

A. sample

B. population

C. random

D. variable

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

A. 13.73

B. 56.51

C. 56.65

D. 51.56

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

A. 3.0

B. 1.0

C. 4.5

D. 4.0

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23.

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

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24.

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

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

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

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

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

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26.

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

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27. 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

A. 3.90

B. 63%

C. 2.90

D. 3.10

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28.

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

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29. _____ is the degree of peakness of a distribution

A. platykurtic

B. variation

C. kurtosis

D. symmetry

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

A. 15

B. 14

C. 3

D. 12

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

A. maximum

B. standard deviation

C. minimum

D. zero

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

A. modal

B. median

C. skewness

D. mean

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33.

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

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34.

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

A. 4.33

B. 3.21

C. 5.01

D. 4.21

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36.

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

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37. An impossible event has the probability ______

A. 1

B. 0

C. 0.5

D. 0.25

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38.

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

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39.

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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40.

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

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41.

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

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

A. 2.27

B. 0.23

C. 0.72

D. 5.72

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43.

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

A. mutually exclusive

B. dependent

C. mutually inclusive

D. independent

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

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

B. 16

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

D. 1

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

A. independent

B. dependent

C. collectively exhaustive

D. mutually exclusive

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47.

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

A. 15.7

B. 9.7

C. 5.75

D. 5.7

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

A. zero

B. standard deviation

C. minimum

D. maximum

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

A. Descriptive

B. Inductive

C. Inferential

D. Frequency

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