MCQs Basic Statistics Questions 12

This quiz contains MCQs Basic Statistics Questions with answers covering variable and type of variable, Measures of central tendency such as mean, median, mode, Weighted mean, data and type of data, sources of data, Measure of Dispersion/ Variation, Standard Deviation, Variance, Range, etc. Let us start the MCQs Basic Statistics Questions Quiz.

MCQs about Introductory Statistics

1. According to Chebyshev’s theorem, if a population has a mean of 80 and a standard deviation of 35, at least what proportion of the values lie between 30 and 130?

 
 
 
 

2. If the mean of the two observations is 10.5, then the median of these two observations will be:

 
 
 
 

3. Which one of the following is not included in measures of central tendency?

 
 
 
 

4. For the given data $2, 3, 7, 0$, and $-8$, the G.M. will be:

 
 
 
 

5. Suppose data are normally distributed with a mean of 120 and a standard deviation of 30. Between what two values will approximately 68% of the data fall?

 
 
 
 

6. Consider the following grouped data. What is the sample variance of these data?Frequency Distribution

 
 
 
 

7. Which dispersion is used to compare the variation of two series?

 
 
 
 

8. Which of the following is not based on all the observations?

 
 
 
 

9. Data in the Population Census Report is:

 
 
 
 

10. The sum of squares of deviations from mean is:

 
 
 
 

11. According to the empirical rule, approximately what percent of the data should lie within $\mu \pm 2\sigma$?

 
 
 
 

12. Which of the following measures does not divide a set of observations into equal parts?

 
 
 
 

13. The interquartile range is which of the following?

 
 
 
 

14. Which one is the not measure of dispersion?

 
 
 
 

15. The height of a student is 60 inches. This is an example of ____________?

 
 
 
 

16. In a positively skewed curve which relation is ______.

 
 
 
 

17. If a Curve has a longer tail to the right, it is called

 
 
 
 

18. Which one is the formula of mid-range?

 
 
 
 

19. Which of the following divides a group of data into four subgroups?

 
 
 
 

20. If a distribution is abnormally tall and peaked, then it can be said that the distribution is:

 
 
 
 

21. The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distribution is:

 
 
 
 

22. Which one of the following is the class frequency?

 
 
 
 

23. Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data:

 
 
 
 

24. Which of the following is written at the top of the table?

 
 
 
 

25. Which of the following describe the middle part of a group of numbers?

 
 
 
 

26. Which of the following is not a measure of central tendency?

 
 
 
 

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The field of statistics deals with the measures of central tendency (such as mean, median, mode, weighted mean, geometric mean, and Harmonic mean) and measures of dispersions (such as range, standard deviation, and variances).

The Basic statistical methods include planning and designing the study, collecting data, arranging, and numerical and graphically summarizing the collected data.

Basic statistics are also used to perform statistical analysis to draw meaningful inferences.

MCQs Basic Statistics Questions

A basic visual inspection of data using some graphical and numerical statistics may give some useful hidden information already available in the data. The graphical representation includes a bar chart, pie chart, dot chart, box plot, etc.

Companies related to finance, communication, manufacturing, charity organizations, government institutes, simple to large businesses, etc. are all examples that have a massive interest in collecting data and measuring different sorts of statistical findings. This helps them to learn from the past, noticing the trends, and planning for the future.

MCQs Basic Statistics Questions

  • Which of the following divides a group of data into four subgroups?
  • Which of the following is not a measure of central tendency?
  • Consider the following grouped data. What is the sample variance of these data?
    Frequency Distribution
  • Suppose data are normally distributed with a mean of 120 and a standard deviation of 30. Between what two values will approximately 68% of the data fall?
  • The interquartile range is which of the following?
  • According to Chebyshev’s theorem, if a population has a mean of 80 and a standard deviation of 35, at least what proportion of the values lie between 30 and 130?
  • If a distribution is abnormally tall and peaked, then it can be said that the distribution is:
  • According to the empirical rule, approximately what percent of the data should lie within $\mu \pm 2\sigma$?
  • Which of the following describes the middle part of a group of numbers?
  • The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distribution is:
  • Which dispersion is used to compare the variation of two series?
  • Which of the following measures does not divide a set of observations into equal parts?
  • Which of the following is written at the top of the table?
  • If a Curve has a longer tail to the right, it is called
  • Which one of the following is the class frequency?
  • If the mean of the two observations is 10.5, then the median of these two observations will be:
  • Which one is the formula of mid-range?
  • Which one of the following is not included in measures of central tendency?
  • For the given data $2, 3, 7, 0$, and $-8$, the G.M. will be:
  • The height of a student is 60 inches. This is an example of ———-?
  • Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data:
  • The sum of squares of deviations from the mean is:
  • Which of the following is not based on all the observations?
  • Data in the Population Census Report is:
  • Which one is the not measure of dispersion?
  • In a positively skewed curve which relation is ———-.

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Important MCQs Chi Square Test – 2

This post is about Online MCQs on the Chi Square Test. The MCQs Chi Square test covers the topic of attributes, degrees of freedom, coefficient of association, Chi-Square Distribution, observed and expected frequencies of attributes, etc. Let us start with the MCQs Chi Square Test of Association.

Please go to Important MCQs Chi Square Test – 2 to view the test

The relationship/ Dependency between the attributes is called association and the measure of degrees of relationship between the attributes is called the coefficient of association. The Chi-Square Statistic is used to test the association between the attributes. The Chi-Square Association is defined as

$$\chi^2 = \sum \frac{(of_i – ef_i)^2}{ef_i}\sim \chi^2_{v},$$

where $v$ denotes the degrees of freedom

Attributes are said to be independent if there is no association between them. Independence means the presence or absence of one attribute does not affect the other. The association is positive if the observed frequency of attributes is greater than the expected frequency and negative association or disassociation (negative association) is if the observed frequency is less than the expected frequency.

MCQs Chi Square Test

  • A characteristic that varies in quality from one individual to another is called
  • The eye color of 100 men is an example of
  • Association is a measure of the strength of the relationship between
  • In Chi-Square association, the presence of an attribute is denoted by
  • The process of dividing the objects into two mutually exclusive classes is called
  • The number of parameters in the Chi-Square distribution is
  • The parameter of the Chi-Square distribution is
  • The value of $\chi^2$-square distribution cannot be
  • The range of $\chi^2$ is
  • Two attributes $A$ and $B$ are said to be independent if
  • Two attributes $A$ and $B$ are said to be positively associated if
  • If $AB<\frac{(A)(B)}{N}$ then the association between two attributes $A$ and $B$ is
  • If $\chi^2=5.8$ and $d.f.=1$, we make the following decision
  • For a $4\times 5$ contingency table, there are
  • For a $r \times c$ contingency table, the Chi-Square test has d.f.?
  • If for a contingency table, $df=12$ and the number of rows is 4 then the number of columns will be
  • For a $3\times 3$ contingency table, the degrees of freedom is
  • For a $2\times 2$ contingency table, the degrees of freedom is
  • When Chi-Square ($\chi^2=0$), the attributes are
  • The Chi-Square test for a $2\times 2$ contingency table is not valid unless
MCQs Chi-Square Test

Perform another Non-Parametric Test: MCQs Non-Parametric

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Statistics Data Analysis Project (2021)

The main objective of the “Statistics Data Analysis Project” is to learn how to analyze and interpret the data. All the submitted videos will be compiled into one video file and it will be shared with each participant and different social platforms. The video will also be uploaded on YouTube. All participants’ names and their relevant provided information will be marked on their videos.

This data set contains information on 78 people using one of three diets.  A short description of the variable is given below.

Variable NameVariable LabelData Type
PersonParticipant number 
genderGender, 1 = male, 0 = femaleBinary
AgeAge (years)Scale
HeightHeight (cm)Scale
preweightWeight before the diet (kg)Scale
DietDietCategorical
weight10weeksWeight after 10 weeks (kg)Scale
weightLOSTWeight lost after 10 weeks (kg)Scale

What to do with data:

  • You need to perform possible statistical analysis (data visualization, descriptive, and inferential) on this data using any statistical software.
  • You may check statistical assumptions for data and different inferential tests.
  • You may create new variables or recode the variables to perform different statistics.
  • You also need to briefly describe the results obtained.
  • You may record your audio for explanation purposes or may insert text using and text editor.
  • For audio recording you may use your local language too, however preference is Urdu or English language.
Statistics Data Analysis Project

What will you learn:

  1. You will learn the use of different statistical software with a live demonstration of the procedure
  2. You will learn how to perform the required statistical analysis on different types of data sets or variables.
  3. You will learn how to interpret the results.
  4. You will learn what must be done before performing any statistical analysis
  5. You may also learn how to report or publish your results.

Statistics Data Analysis Project Requirements

  1. You need to record the video of whatever you do with data. For example, import of data file, setting of variable properties, step-by-step procedure of performing any required statistical analysis (such as descriptive statistics, t-test, and possible graphs, etc.)
  2. Each participant will submit only one file.
  3. For video recording, you can use any screen recording software. You can use ‘Sharex’ or ‘apowersoft’ screen recorder software’ too.
  4. The total time of video must not exceed 10 minutes.
  5. The file type should be mp4 with H.264/ H.265
  6. The resolution may be ‘640 x 480’, ‘1280 x 720’, and 1920 x 1080’
  7. You will email me (at mimdadasad@gmail.com) the Google Drive or Dropbox link of your ‘screen recorded video’ file.
  8. For help with Statistical Software, you can visit: https://itfeature.com/statistical-softwares

Who Should Participate:
Any student, researcher, or teacher of Statistics

Download Data File:

Note: The pure objectivity of the “Statistics Data Analysis Project” is to promote the subject of Statistics in Pakistan.

https://itfeature.com

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