Statıstıcs I Ara 10. Deneme Sınavı
Toplam 20 Soru1.Soru
Which of the following is not true for dot plots?
Before creating a dot plot, lowest and highest values should be identified first |
It is a simple chart that keeps each observation as a dot along horizontal axis |
Repeating occurrences are represented as dots along horizontal axis |
The data itself is kept within the graph so, its value could easily be identified by looking at the graph |
It helps the researcher to quickly order the data |
In order to create a dot plot one needs to identify the lowest and the highest value of the data set first, then a horizontal axis is drawn and scaled so that it covers the lowest and highest values. A dot plot, essentially, is a simple chart where each observation is presented by a dot along the horizontal axis. If there are repeating observations (multiple occurrences), the dots are stacked up vertically. The dot plots will produce a simple graph of data but at the same time the data itself is never lost, you can easily identify the value of any data point in the dot plot. This is the most powerful aspect of the dot plots. It allows the researcher to show the data in a pictorial form without losing the original information/data. It also gives an opportunity to the researcher to quickly order the data.
2.Soru
Which of the following is not done by using statistics?
weather forecast |
gain estimation |
process time prediction |
exam grade classification |
password validation |
password validation. pg. 3. Correct answer is E.
3.Soru
What is the arithmetic mean of the following data set with frequency in paranthesis?
20 (3), 32 (4), 47 (2), 10 (3)
18 |
26 |
32.5 |
36 |
40.5 |
(20 x 3 + 32 x 4 + 47 x 2 + 10 x 3) / 12 = 312 / 12 = 26. pg. 87. Correct answer is B.
4.Soru
There are four participants in our research and their names are Tom, Jane, Tim and Beth. We assign arbitrarily 1 for Tom, 2 for Jane, 3 for Tim and 4 for Beth. Which word below describes the meaning of number 4 in our research?
case |
nominal data |
numeral |
observation |
ordinal scale |
Nominal scales of measurement classify things or individuals into qualitatively different classes. For example, the variable gender has two categories, female and male. Thus, researches could describe sex of the workers using a nominal scale by categorizing people as female and male. Typically, we can use numerals instead of strings to represent individuals’ genders. For example, we can arbitrarily assign number 0 for females and number 1 for males.
5.Soru
A researcher wants to calculate the average income for a large group of people but he notices that there are a few extremely low and extremely high income levels. Thus he decides to find the average after eliminating the extreme values. In this case the researcher computes .......?
Trimmed mean |
Geometric mean |
Arithmetic mean |
Harmonic mean |
Midrange |
The trimmed mean is an arithmetic mean of a data set without extreme values.
6.Soru
A teacher labels students successful, average and unsuccessful based on their exam marks. What form of data does s/he produce?
nominal |
ordinal |
interval |
ratio |
continuous |
Data labeled as successful, average and unsuccessful does not represent a computational score but does represent an order. So, it is an ordinal data.
7.Soru
What is the median of the following data set?
4, 4, 4, 5, 7, 8, 10, 14, 18, 20, 26, 30
4 |
9 |
17 |
30 |
34 |
9 : median = (12 + 1) / 2 = 6.5 th observation ; then average of 6th and 7th observations : (8 + 10) / 2 = 9
8.Soru
- A study which aims to find some evidence of a result
- A study which aims to find causes of a result
- A study in which the groups are “balanced” in terms of known factors
- A study conducted where conditions are controlled
Which of the above can be given as an example/examples of observational studies?
Only I |
I and II |
I and IV |
II and IV |
II, III and IV |
A study that involves Statistics will clearly involve a process of data collection. But there are differences in study objectives which are important to recognize. The main distinguishing factor is whether the study aims to find some evidence of a result or whether it aims to find causes of a result. Medical research is a good context to understand these differences - Statistics in medical research is often called Biostatistics.
It is true that many benefits have been detected of taking a low-dosage of aspirin every day. For example, it has been observed that people who take aspirin regularly (less than 300 mg per day) generally have less health problems such as heart attacks, strokes and cancers. The keyword is “observed”: in a community health study involving thousands of people there will be many that take aspirin regularly for problems such as back pain or headaches. For those people it could be observed that they have less chronic diseases compared to people who don’t take aspirin. This is evidence of a difference, but it does not prove that aspirin is the actual cause of the improved health. People who do not take aspirin daily might be poorer and neglect taking medication, and they suffer from more chronic diseases than people with a higher income, so the real difference is socio-economic. From such an observational study it is not possible to conclude a causal effect, it just gives some tentative evidence of a possible relationship between the treatment and the outcome.
In order to be able to prove that aspirin is the cause of the improvement in health, an experiment needs to be conducted where conditions are controlled between those taking aspirin and those not taking it. Such an experiment might be designed as follows, restricted to men, for example, since the effects are suspected to be different for men and women. Suppose we take a large group of men in the age group 60- 70 years of age that have no history of chronic disease. We divide them into two groups so that the groups are “balanced” in terms of known factors such as age, social class, and so on (we don’t want one group to have older men than the other). By the way, this “dividing into two groups” is not a trivial matter, but that is a subject for later in this course. Assuming the two groups are comparable, then one group is given the daily low dose of aspirin and the other not, and the groups are followed up for a five-year period and then compared for the incidence of health problems that develop during this time. If the group taking aspirin has less health problems, this would indicate a beneficial effect caused by the aspirin.
This type of experiment on people has all sorts of problems, but it is really leading to a conclusion about whether aspirin is the real cause of differences between the two groups. There is the ethical problem of not giving the daily aspirin, which has suspected benefits, to a large group of people. There is also the problem that one group knows it is taking the medication and might change their lifestyle to favour a good outcome by living more healthily. This effect can be eliminated by not telling either group what they are getting and giving the non-aspirin group a so-called placebo, which is medication in the form of an aspirin, so both groups think they are getting the medication.
As also understood from the information given, “A study which aims to find some evidence of a result” is an example of observational studies, so the correct answer is A. “A study which aims to find causes of a result”, “A study in which the groups are “balanced” in terms of known factors” and “A study conducted where conditions are controlled” are the examples of experimental studies.
9.Soru
A national sport committe decides to impose stricter conditions for athletes to enter the tournament. One year later, athletes obtain scores that are in general better than those the year before. Which of the following can be considered valid conclusions:
The increase in scores might be attributable to the introduction of stricter entry conditions. |
The imposition of stricter entry conditions caused the increase in scores. |
The imposition of stricter entry conditions could not possibly have caused the increase in scores. |
There is not enough information, we need to collect more data. |
We cannot conclude anything either way. |
A national sport committe decides to impose stricter conditions for athletes to enter the tournament. One year later, athletes obtain scores that are in general better than those the year before. The increase in scores might be attributable to the introduction of stricter entry conditions.
10.Soru
Which of the following is not data?
Anadolu University |
Statistics Department |
Statistics I course |
Anadolu University students |
Anadolu University campus |
Anadolu University students is variable, not data
11.Soru
“It gives the researcher a chance to create a grouped frequency distribution of the data without using any formula” Which of the data presentation visual is mentioned in this sentence?
Dot Plot |
Histogram |
Pie Chart |
Stem-And-Leaf Display |
Scatter Plot |
One advantage of the stem-and-leaf display is that it gives the researcher a chance to create a grouped frequency distribution of the data without using any formula.
12.Soru
According to the data set given in the following table, what constitutes the case for John?
Male |
52, 4300 |
Female, 52 |
Male, 52, 4300 |
Male, 45, 10000 |
The outcomes obtained on all variables for one element in the data set is called a case. In this table, the outcomes on the four variables for John constitutes a case.
13.Soru
In a research investigating the effects of playing online games on aggressive behavior, 100 teenagers are observed. What statistical term represents these 100 teenagers in this particular experiment?
population |
data |
sample |
variable |
scale |
The way the sample is collected is crucial to obtaining a valid estimate, and this is an important subject which will be dealt with in this course. The main criteria for selecting a sample will be that the sample is representative of the population and that there is no or very little subjectivity in the choice of the sampling units. Sampling is not only conducted by survey researchers on human populations, but also by auditors on a company’s accounts, by agricultural researchers on different pieces of land, and by quality control inspectors on products in a factory, to name only a few examples.
14.Soru
Which one of the following stem-and-leaf plot represents the data displayed in the Table above?
|
|
|
|
|
If you want to create a stem-and-leaf display of this data, you need to decide what the stem should be, it is easy to see that all these numbers are the multiples of ten, so the numbers should be 14, 15, 16, and 17. Stems and the leaves should be ordered on each stem from smallest to largest. A vertical line/axis is drawn and on the left hand side of the line/axis stem values are shown as a new row, next we start putting each observation to the right hand side of vertical line according to trailing digits. At last step in each row, the numbers on the right hand side is ordered. Thus the stem-and-leaf plot should be
15.Soru
Which of the following is true for a left-skewed distribution as shown in figure?
Mean=Mode=Median |
Mean=Median<Mode |
Mean<Median<Mode |
Mean>Median>Mode |
Mean<Mode<Median |
For left-skewed distributions Mean<Median<Mode is the correct order.
16.Soru
I. It is defined as the tendency of data to cluster around some random variable value.
II. Some central tendency measures are arithmetic mean, median and mode
III. Central tendency measures can tell us details about every piece of data.
What can be said to be true about central tendency measures?
Only I |
Only II |
I and II |
I and III |
II and III |
I. It is defined as the tendency of data to cluster around some random variable value. (True)
II. Some central tendency measures are arithmetic mean, median and mode. (True)
III. Central tendency measures can tell us details about every piece of data. (False, Central tendency measures do not tell us details about every piece of data.)
The answer is C.
17.Soru
Is your answer to this question data?
No |
Yes |
Maybe |
Sometime |
It depends on time |
Yes
18.Soru
Bicycle types and their prices in a certain shop are given above. What is the midrange of the bicycle prices?
275 |
400 |
550 |
700 |
900 |
Midrange is the average of the maximum and minimum value of observations. Thus for this bicycle prices the midrange is (900+200)/2=550
19.Soru
Statistical analysis requires that the factual information of interest in a research be collected and organized in a useful manner. Which one below refers to such facts?
Statistical analysis requires that the factual information of interest in a research be collected and organized in a useful manner. Which one below refers to such facts?
Element |
Data sets |
Data |
Variable |
Case |
Statistical analysis requires that the factual information of interest in a research be collected and organized in a useful manner. Such facts are described as data.
20.Soru
"Which type of transportation vehicle do you use most often?
Answer:.............................................................."
Which type of questionnaire question is the one above?
Multiple Response |
Single Response |
Open-Ended |
Closed-Ended |
Ranked |
It's a open-ended question type because the respondent can freely answer whatever he thinks of. He doesnt choose among or rank the given options.
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