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 4 of 55
31. A cumulative frequency distribution is graphically represented by_________?
- 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 frequency polygon represents ordinary frequencies, not cumulative frequencies.
Correct answer: ogive32. Who is considered the "Father of Modern Statistics"?
- 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 variance. Tukey and Deming made major later contributions, while Nightingale is chiefly known for applying statistics to public health.
Correct answer: Ronald Fisher33. The data obtained very first are called:___________?
- 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 by someone else. The word raw refers to unprocessed data and is not determined merely by when they were obtained.
Correct answer: Primary data34. Single numerical fact is called________?
- 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 statistic is a numerical measure calculated from sample data.
Correct answer: Datum35. The collection of numerical facts is called_________?
- A. Data
- B. Datum
- C. Statistic
- D. Raw
Explanation: Data is the plural term for a collection of numerical facts or observations. Datum refers to only one numerical fact, so it is not suitable here.
Correct answer: Data36. When there is 0 in our dataset which mean we cannot calculate?
- 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. The arithmetic mean can still be calculated, so both GM and HM are affected.
Correct answer: Both A and B37. Founder of statistics is_________?
- 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, and statistical testing. The other listed figures are important statisticians but are not usually given this title.
Correct answer: Karl pearson38. Which mean is most effected by extreme values?
- 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. The median is much less affected, while GM and HM are not the intended general answer here.
Correct answer: AM39. Given X1=12,X2=19,X3=10,X4=7, then summation of X equals?
- 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.
Correct answer: 4840. For a given class 30-44 the midpoint will be ________________?
- A. 30
- B. 34
- C. 37
- D. 35
Explanation: The class midpoint is found by averaging the two class limits: (30 + 44) / 2 = 37. It represents the central value used when plotting or summarising the class.
Correct answer: 37