All Free Statistics MCQs with Answers

• 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.

• 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.

• 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).

• 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.

• 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.

• 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.

• A. Methods
• B. Data
• C. Science
• D. Meteorology

Explanation: In its plural sense, statistics refers to numerical facts or data collected for analysis.

• 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.

• 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.

• 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.

• A. frequency curve
• B. frequency polygon
• C. pie chart
• D. ogive

Explanation: An ogive is the graph of a cumulative frequency distribution, formed by plotting cumulative frequencies against class boundaries.

• A. John Tukey
• B. Ronald Fisher
• C. Florence Nightingale
• D. W. Edwards Deming

Explanation: Ronald Fisher developed many foundations of modern statistical theory, including experimental design, maximum likelihood, and analysis of…

• A. Primary data
• B. Secondary data
• C. Raw data
• D. None of these

Explanation: Primary data are collected firsthand by the investigator for the specific study, whereas secondary data already exist and were collected…

• A. Point
• B. Data
• C. Datum
• D. Statistic

Explanation: A single numerical observation is called a datum, while data is the plural term for a collection of observations.

• A. Data
• B. Datum
• C. Statistic
• D. Raw

Explanation: Data is the plural term for a collection of numerical facts or observations.

• A. GM
• B. HM
• C. AM
• D. Both A and B

Explanation: A zero makes the geometric mean zero and makes the harmonic mean undefined because it requires reciprocals of the observations.

• A. R A Fisher
• B. Smith
• C. Karl pearson
• D. Neyman

Explanation: Karl Pearson is commonly credited as a founder of modern mathematical statistics and established major methods in correlation, regression…

• A. GM
• B. AM
• C. HM
• D. Median

Explanation: The arithmetic mean uses every observation, so an unusually large or small value directly pulls it toward the extreme.

• A. 36
• B. 48
• C. 41
• D. None of these

Explanation: Add the four observations: 12 + 19 + 10 + 7 = 48. Thus, ΣX represents the total of all listed X-values, not their mean.

• A. 30
• B. 34
• C. 37
• D. 35

Explanation: The class midpoint is found by averaging the two class limits: (30 + 44) / 2 = 37.