Basic Statistics 3

This quiz contains MCQs Introductory Statistics 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, Measures of Dispersion/ Variation, Standard Deviation, Variance, Range, etc. Let us start the MCQs Introductory Statistics with answers Quiz.

1. If $X$ and $Y$ are independent then $SD(X-Y)$ is


2. A measure of dispersion is always


3. Variance remains unchanged by the change of


4. The percentage of values lies between $\overline{X}\pm 2 SD\,$ is


5. The variance of 5 numbers is 10. If each number is divided by 2, then the variance of new numbers is


6. The sum of squared deviations of a set of $n$ values from their mean is


7. The range of the values -5, -8, -10, 0, 6, 10 is


8. Which of these is a relative measure of dispersion


9. The measure of dispersion is changed by a change of


10. The standard deviation is always _________ than the mean deviation


11. The sum of squares of deviation is least if measure from


12. Suppose for 40 observations, the variance is 50. If all the observations are increased by 20, the variance of these increased observations will be


13. The lowest value of variance can be


14. For the symmetrical distribution, approximately 68% of the cases are included between


15. The mean deviation of the values, 18, 12, 15 is


16. If $Y=-8X-5$ and SD of $X$ is 3, then SD of $Y$ is


17. If all values are same then the measure of dispersion will be


18. If $a$ and $b$ are two constants, then $Var(a + bX)\,$ is


19. $Var(2X+3)\,$ is


20. The measure of Dispersion can never be


21. Variance is always calculated from


22. Standard deviation is calculated from the Harmonic Mean (HM)


23. The variance of a constant is


24. Mean Deviation, Variance and Standard Deviation of the values 4, 4, 4, 4, 4, 4 is


25. If the standard deviation of the values 2, 4, 6, 8 is 2.58, then the standard deviation of the values 4, 6, 8, 10 is


Basic statistics deals with the measure of central tendencies (such as mean, median, mode, weighted mean, geometric mean, and Harmonic mean) and measure of dispersion (such as range, standard deviation, and variances). Basic statistical methods include planning and designing the study, collecting data, arranging, and numerical and graphically summarizing the collected data. Basic statistics also used to perform statistical analysis to draw meaningful inferences.
Basoc Statistics
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.

Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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11 Responses

  1. harriet arthur wilson says:

    please the question 14 why it is 2 because i calculated it and i got zero

    • Please mention the statement of the question. Questions appear randomly for each test. However, I checked the options that have 0 and 1. There are two questions, one is related to mean deviation and the other is related to the variance for constant values. For mean deviation, you need to find the average of absolute values. A hint is also provided in the quiz and it will appear when you will submit the quiz.

      Thanks for your comment. Keep visiting the site and help me in improving and correcting the content of the site.

  2. mewal das says:

    plz tell me other mcq webside for statistics subject

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