Statistics Quiz: Understanding Statistical Measures and Distributions

This document presents a quiz on fundamental statistical concepts. It covers the major goals of statistics, the distinction between descriptive and inferential statistics, and the interpretation of standard deviation. The quiz also includes questions on normal distributions, the circumstances favoring the median over the mean, and the definition of variability. Furthermore, it addresses measurement scales, graph types, and the rules for grouped frequency distributions. The quiz also includes questions on probability calculations, the Central Limit Theorem, and the expected value of M. It also presents a sample problem involving calculating standard error of M and mean based on provided data. Overall, this quiz is designed to assess understanding of key statistical principles and their application in data analysis.

Quiz Instructions
1. List the 6 major goals of statistics
Answer: The goals of statistics are computation of data, concepts of probability,
concepts of survey and questionnaire, concepts of data science, concepts of
stochastic process, and concepts of linear modeling, concepts of game theory and
so on.
2. What is the goal of descriptive statistics?
Answer: The goal of descriptive statistics is that to provide the summary of data. Moreover
it is also plays an important role in the quantitative study.
3. What is the goal of inferential statistics?
Answer: The goal of inferential statistics is that to give conclusion on sample and
generalized population. Moreover the common goal of inferential statistics is that hypothesis
testing and analysis of variance.
(True or false)
4. A higher standard deviation value indicates greater consistency and stability in a
data set.
False
5. Which notation represents the population mean?
Group of answer choices
Σ
N
μ
X
6. For the following normal distribution, identify the values on the x-axis
representing the mean , median and mode
0 0

7. Identify two circumstances in which the median rather than the mean is
the preferred measure of central tendency.
Answer: The two circumstances are when the data set is skewed and when the
data set is ordinal.
8. What is the definition of variability?
Answer: The term variability can be used when the data is not consistent. In other
words when the data set differ from the mean values of this data set, then it is called
the variability.
9.What is the best measure of variability? Choose the best answer below.
sum of squares
range
standard deviation
semi-interquartile range
10.True or false, the denominator formula, n-1, used as the denominator in the
computational formula for sample standard deviation represents the degrees of
freedom.
Answer: True
11. True or false, The variance, or distance calculated between sample data and
its corresponding population data is considered a mathematical error.
Answer: False

12. Identify at least one benefit to operationally defining a construct.
Answer: The operationally defining construct helps in class survey. The class are like
gender, attendance and level of extraversion. Moreover it also helps to determine the
dependent and independent variables.
13. As it relates to your environment, identify two different populations and any
corresponding sample group for each population.
Answer: The two different populations are the results of a college and the height of
student of the college. The samples of this population are the results of some particular
class or particular gender and the height of some particular class and the height of a
particular gender.
14. Weight is a typical measurement taken in the doctors office. On
what scale does the variable of weight fall?
Group of answer choices
Ordinal
Ratio
Nominal
Interval
15. A satisfaction survey was given to conference participants. The answers
included very dissatisfied, dissatisfied, satisfied, very satisfied. Which scale of
measurement is this survey?
Group of answer choices
Ratio
Nominal
Interval
Ordinal
16. Different diagnoses such as heart disease, high blood pressure, cancer, etc..
represent which kind of variable?
Group of answer choices

discrete
Continuous
17. If you were to place ethnic background in a graph based upon a survey taken
at a college, which graph would you use?
Group of answer choices
All of the above would be appropriate
Histogram
Bar graph
Polygon
18. The following picture represents which kind of graph?
bar graph
polygon
stem-&-leaf plot
Histogram
Answer: polygon
19. List at least 2 rules for a grouped frequency distribution table.

Answer: The class should be mutually exclusive, class should be continuous, and class should
be exhaustive. Moreover the class should be equal gap.
20. When given the following probability statement:
"What is the probability of drawing a king or a queen from a deck of cards?",
which calculation would you apply to the problem?
Group of answer choices
multiply
divide
subtract
add
21. Choose from the following example which would be
considered descriptive or inferential statistics : "A sample set of patients were
used for a study which concluded that, for those who learned and practiced
meditation techniques, those patients recovered quicker from surgery than those
who did not practice meditation. Therefore, mediation became a regular
recommendation for all post-op patients."
Group of answer choices
inferential
descriptive
22. As a part of the regular census, one of the questions asked is "How many
children live in the household? " Is the variable, the number of children,
a discrete variable or a continuous variable?
Group of answer choices
discrete
Continuous
23. Does the following distribution represent a negative or positive skewed
distribution?

positively skewed
negatively skewed
Answer: positively skewed
24. The Central Limit Theorem identifies with all of the following basic
characteristics that describe any distribution with the exception of which one?
Group of answer choices
shape
range
variability
central tendency
Answer: central tendency
25. The Expected Value of M is....
Group of answer choices
the standard deviation of sample means.
the number of sample means in the data set.
the range of sample means.
the average of all sample means.
Answer: The number of sample means in the data set.