Statıstıcs I Ara 1. Deneme Sınavı
Toplam 20 Soru1.Soru
Which one below is one of the limitations of interview method?
The individuals included in the study might alter their behavior. |
Direct contact with the responders avoids misunderstanding of the questions. |
People will tend to give answers to the question when they are approached personally. |
The data collection by interview usually includes irrelevant information from those people who are conducted. |
The researcher may select an irrelevant individual about the study, this leads to bias into the results. |
The advantages of the data collection by interview are:
1. People will tend to give answers to the question when they are approached in person or by telephone, so the data collection by interview usually includes usable information from those people who are conducted.
2. Direct contact with the responders avoids misunderstanding of the questions.
On the other hand, the limitations of the interviewing method are:
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If the questioner does not obey the rules for selecting individuals or may select an irrelevant individual about the study, this leads to bias into the results.
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The questioner may affect the individuals’ opinion about a question and this leads to get incorrect answers.
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The questioner may make recording errors.
2.Soru
A study was conducted to determine the effects of two different training programs on athletes. Sixty athletes were randomly assigned into two training programs each including 30 athletes. One group is given only coffee and water to drink before trainings while the other group is given only water to drink before trainings. After training programmes, an assesment test was applied to the athletes. One month later, the group who had drunk coffee and water before the trainings progressed more than the group who only had drunk water before the trainings. What do you think is the most acceptable conclusion of this experiment?
The sample size is too small to conclude anything at all; if this was done on bigger samples of people, the evidence one way or the other would be more solid. |
This result is definitely a result of random variation and no attention should be paid to it. |
We cannot conclude anything either way, since this is done just for two groups of athletes. |
This result constitutes tentative evidence of the benefits of coffee to athletes. |
Drinking coffee and water on pre-trainings appears to be beneficial to athletes. An experiment with more athletes should be undertaken. |
The paragraph is an example of experimental design in sports science. So, drinking coffee and water on pre-trainings appears to be beneficial to athletes. More experiments with more athletes should be undertaken in other conditions and controls.
3.Soru
what is the median of the following data?
(2, 4, 4, 4, 5, 6, 7, 7, 8, 10)
2.5 |
4.5 |
5.5 |
8.5 |
10.5 |
The data is already ordered. There are 10 observations:
(10+1)/2 = 5.5
so the median is the arithmetic mean of 5th and 6th observations:
median =(5 +6)/2=5.5
4.Soru
What cannot be an example showing that statistics is part of our daily lives?
changing climate records |
making weather forecast |
understanding climate patterns |
displaying weather forecasting |
keeping wind direction records |
Statistics is at the heart of understanding climate patterns and making weather forecasts. The first role of Statistics is to reduce this mass of complex data to a simpler form in order to facilitate understanding and learning from the data. This is often done by making graphical representations of the data.
5.Soru
Which of the following are not data?
Age |
Blood sugar |
Cholesterol levels |
Gender |
Hospital patient |
The subjects or individuals or companies on which these observations are made are called cases. Hospital patients on whom we have measured the standard medical indicators such as blood pressure, cholesterol levels, blood sugar, and so on might be cases.
6.Soru
- Data set is large
- Measurements type is ratio scale
- Interpretation should be easier
In which condition(s) above, it is more appropriate to use grouped frequency for summarizing data?
Only I |
Only II |
Only III |
I and II |
I and III |
When the data set is large or the measurements are obtained using ratio scale, grouped frequency is more appropriate for summarizing the data.
7.Soru
Which of the following is the measurement of a magnitude without equal intervals?
Nominal scale |
interval scale |
ordinal scale |
ratio scale |
qualitative scale |
Ordinal scales of measurement have the property of both classifying and magnitude. Subjects are categorized into different rank ordered groups. Each value on the ordinal scale has a unique meaning, and it has an ordered relationship to every other value on the scale.
8.Soru
The main criteria for selecting a sample will be that the sample is _____I_____ of the population and that there’s no or very little ____II_____ in the choice of the sampling units.
Which of the following options fills the blank in the above sentence in the most correct way?
I - representative II - subjectivity |
I - representative II - objectivity |
I - inclusive II - subjectivity |
I - inclusive II – objectivity |
I - containing II - objectivity |
The main criteria for selecting a sample will be that the sample is representative of the population and that there’s no or very little subjectivity in the choice of the sampling units.
9.Soru
Which measure of central tendency is the best for nominal data sets?
Mode |
Median |
Arithmetic mean |
Geometric mean |
Trimmed mean |
The mode is the main centrality measure for nominal scales. The correct answer is A.
10.Soru
Which of the following do not constitute “big data”?
All the comments written on Facebook page |
All comments posted on Youtube video |
All men basketball player statistics in one season |
All football teams statistics in Turkish Super League |
All data that are very large numbers, every value in the billions and trillions |
Big Data are all forms of data we have obtained from different sources and transformed into meaningful and workable forms. All data that are very large numbers, every value in the billions and trillions do not constitute "big data" because cannot be transformed into meaningful and workable forms.
11.Soru
Say you are investigating the smart phone preferences of people living in Turkey and you surveyed 2000 people in Denizli. What can you say your results?
Can give statistical estimates of preferences of Turkish people |
Cannot say anything about people live in Turkey |
Should gather more data from Denizli |
Can present exact proportions of preferences in Turkey |
Can present exact proportions of preferences in Denizli |
A reasonable survey would carefully select people as a sample and gathering data from Denizli would not represent Turkey. Statistics working on samples cannot give absolutely correct information. Sample being carefully selected, it can give a statistical estimate of proportions.
12.Soru
Which of the statements below CANNOT be true about Statistics?
Which of the statements below CANNOT be true about Statistics?
Statistics can make a lot of numerical data easily understandable. |
We often talk of estimates in Statistics. |
Most of the observations can be reduced to some numerical quantity through statistical methods. |
We cannot get access to every single data on the topic that we are interested in. |
Statistics usually samples from a very small data, not from a large population. |
It may seem that everything may be recorded and stored somewhere. But in reality - unless we somehow centralize and link all the databases in the world, and have free access to them - we can get access to only a small part of whatever data we are interested in. For example, it is impossible to ask the whole population of Turkey what their view on climate change is, whether they believe it is natural or manmade. This is where the most basic concept in Statistics comes into play: sampling from a population.
13.Soru
What type of variable is your mood which gets values good or normal or bad?
continuous regular |
qualitative nominal |
qualitative ordinal |
quantitative interval |
quantitative ratio |
qualitative ordinal. pg. 14. Correct answer is C.
14.Soru
The exam scores of 5 students taking the statistics course are given above. The weight of midterm exam is 40% and the weight of final is 60%. What will be the weighted average score of this group?
60 |
62 |
66 |
68 |
70 |
The weighted average score is calculated by multiplying the weight of an exam and the score taken in that exam. Thus the scores of students are calculated as follows:
Ahmet: (40*0.4)+(80*0.6)=64
Mehmet: (80*0.4)+(60*0.6)=68
Ali: (40*0.4)+(90*0.6)=74
Asya: (70*0.4)+(90*0.6)=82
Suzan: (40*0.4)+(60*0.6)=52
Then the average score of the group is equal to (64+68+74+82+52)/5=68
15.Soru
Which of the following is not true about the pie chart?
A pie chart is usually used for categorical |
In the pie chart components or outcomes of a total frequency is shown as sectors of a circle. |
In the pie chart, the categories are divided into slices/sectors. |
A pie chart usually shows the actual values. |
The drawing of a pie chart involves the calculation of angles for each slice/sector. |
A pie chart usually does not show the actual values, therefore, it may easily become a misleading chart.
16.Soru
For an observation that results in values 6,7,3,4,3,5,6,6 what is the median of this group?
5 |
5,5 |
6 |
6,5 |
7 |
In order to find the median of this raw data, first, let’s order the data from smallest to largest as follows 3,3,4,5,6,6,6,7
The location of the median in this ordered data is (8+1)/2 = 4,5th observation. Therefore, we
need to identify the 4th and 5th observations’ values in the ordered data, these are 5 and 6 respectively.
The Median is equal to (5+6)/2 = 5,5
The answer is B.
17.Soru
Which of the following is true about cumulative frequency distribution table?
It could be easier or clearer to interpret the table when using percentage of the frequency |
It consists of classes and the number of elements in these classes |
It is more appropriate to use when data set is too large |
It is better to use if measurement is obtained using ratio scale |
It can be used to determine the number of elements that falls above or below a particular value |
A frequency distribution table provides information of how many observation or elements occurred for each value or group of values of a variable. Cumulative frequency is used to determine the number of elements that falls above or below a particular value in a given class interval.
18.Soru
What type of variable is a girl’s answer to a marriage offer?
continuous regular |
quantitative interval |
quantitative ratio |
qualitative ordinal |
qualitative nominal |
qualitative nominal
19.Soru
- Region of Residence
- Field of Study
- Type of Transport
- Type of Housing
- Exam Grade
Which of the above are nominal categorical variables?
I and II |
I, II and III |
II, III and IV |
I, II, III and IV |
II, III, IV and V |
The easiest form of data is called categorical, or qualitative, for example data on variables “country” (e.g., the data observation might be Germany) or “question response” (e.g., believe that climate change is manmade) or “exam grade” (e.g., B). Categorical variables and data can be either nominal or ordinal. The question about climate change, with possible responses “natural”, “manmade” or “don’t know/can’t answer” is a nominal categorical variable, as is the variable “country” - there is no ordering in the categories of these variables. By contrast, exam grade is an ordinal categorical variable, since its categories are ordered: A is better than a B, B is better than a C, and so on.
Other examples of nominal categorical variables are gender, region of residence, field of study, type of transport, type of housing, etc.
Other examples of ordinal categorical variables are income group (if incomes have been categorized), an attitude question in a survey where possible responses are strongly agree/agree/disagree/strongly disagree (these categories have an order), social class (with classes usually in an inherent order), terrorist threat levels (in the UK these are low/moderate/substantial/severe/critical), etc.
As also understood from the information given, “Region of Residence”, “Field of Study”, “Type of Transport” and “Type of Housing” are nominal categorical variables, so the correct answer is D. Exam grade (either A, B, or C, etc) is ordinal categorical variable.
20.Soru
- The relation between two sets of data
- The most repeating observations
- Summary statistics (min, max, mean, median etc.)
Which of the above could be identified using graphics?
Only III |
I and II |
I and III |
II and III |
I, II and III |
A properly created graph can report various information of the data in a visual form. For instance, the shape of the distribution of the data, the relation between two sets of data, the most repeating observations, outliers, peaks, summary statistics (minimum, maximum, range, mean, median) etc. can be identified from graphics.
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