All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 3 of 55
21. Regression co-efficient is denoted by_____________?
- A. by
- B. byx
- C. bzx
- D. m
Explanation: The regression coefficient of y on x is conventionally written as b_yx, often typed as byx. The subscript indicates that y is being estimated from x.
Correct answer: byx22. The regression co-efficient are _________ origin?
- A. Dependent
- B. Independent
- C. Scale
- D. Both
Explanation: Regression coefficients do not change when the origin of measurement is shifted, although they can change when the scale is changed. Therefore, they are independent of origin.
Correct answer: Independent23. Least square regression line always passes through ____________________?
- A. (x,y)
- B. (X,Y)
- C. (X,Z)
- D. x/y
Explanation: Both least-squares regression lines pass through the point formed by the means of the two variables, written as (X̄, Ȳ). The notation (X,Y) is evidently being used for these mean values.
Correct answer: (X,Y)24. What is the mean of the data set {2, 4, 6, 8, 10}?
- A. 4
- B. 5
- C. 6
- D. 7
Explanation: Add the five values and divide by their count: (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6. The values are symmetrically centered at 6, which also provides a quick check.
Correct answer: 625. The listing of the data in order of numerical magnitude is called: ____________?
- A. Raw data
- B. Arrayed data
- C. Discrete data
- D. Continuous dataTry Statistical Software
Explanation: Data arranged from the smallest value to the largest, or in the reverse order, are called arrayed data. Raw data are unorganized observations, while discrete and continuous describe types of variables.
Correct answer: Arrayed data26. V=x^3 , then the shape is
- A. Cylinder
- B. Cuboid
- C. Cube
- D. None of These
Explanation: The volume of a cube with side length x is x × x × x = x³, so V = x³ identifies a cube in the intended geometric context. Other shapes can have the same numerical volume, but this is the standard formula being tested.
Correct answer: Cube27. In the plural sense, statistic means____________?
- A. Methods
- B. Data
- C. Science
- D. Meteorology
Explanation: In its plural sense, statistics refers to numerical facts or data collected for analysis. In its singular sense, it refers to the science or methods used to collect, organize, analyze, and interpret data.
Correct answer: Data28. Who give the concept of standard deviation and CV?
- A. R.A Fisher
- B. John Tukey
- C. Karl Pearson
- D. All of the above
Explanation: Karl Pearson is credited with introducing the standard deviation and the coefficient of variation as measures of statistical dispersion. Fisher and Tukey made major contributions elsewhere in statistics, but they are not the expected answer here.
Correct answer: Karl Pearson29. The term variance introduced by ___________?
- A. Ronald Fisher
- B. Karl Pearson
- C. John Tukey
- D. None of these
Explanation: Ronald Fisher introduced the term variance in statistical work, particularly through his development of analysis of variance. Pearson is associated with several major statistical measures, but not with introducing this term.
Correct answer: Ronald Fisher30. What's the largest known Prime Number?
- A. 282,589,933 − 3
- B. 282,589,933 − 1
- C. 282,589,933 − 5
- D. None of these
Explanation: The intended number is 2^82,589,933 − 1, the Mersenne prime known as M82589933. The displayed options appear to have lost the superscript formatting, but option b has the correct exponent and subtraction.
Correct answer: 282,589,933 − 1