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 15 of 55
141. γxy is always equal to_____________?
- A. γyx
- B. -γyx
- C. γx
- D. γo2
Explanation: The coefficient of association is symmetric with respect to the two attributes, so interchanging X and Y does not change it. Hence γxy equals γyx.
Correct answer: γyx142. The table representing two attributes is called________________?
- A. Random table
- B. Contingency table
- C. Dichotomy table
- D. Chi-square table
Explanation: A contingency table classifies observations according to two attributes and displays their joint frequencies. Random and chi-square tables are not standard names for this two-way frequency table.
Correct answer: Contingency table143. The time taken by an athlete to run a 400 mile race in SAF games ________________?
- A. Continuous data
- B. Random
- C. Discrete data
- D. Non of these
Explanation: Time can take fractional values such as 39.6 seconds or 40.25 seconds, so race time is continuous data rather than discrete data.
Correct answer: Continuous data144. Hourly temperature recorded by weather bureau is the example of ___________?
- A. Discrete variable
- B. Qualitative variable
- C. Continuous variable
- D. None of these
Explanation: Temperature can take fractional readings such as 25.4°C or 25.45°C, so it is measured on a continuous scale. It is not discrete merely because readings are recorded at hourly times.
Correct answer: Continuous variable145. Coefficient of variation (C.V) is given below:_________________?
- A. Mean/S.D.
- B. S.D./Mean x 100
- C. Mean/S.D. x 100
- D. S.D./Mean
Explanation: The coefficient of variation compares spread with the mean and is calculated as (standard deviation ÷ mean) × 100. Multiplying by 100 expresses the result as a percentage.
Correct answer: S.D./Mean x 100146. The number of defective bulbs in a lot is example of ____________?
- A. Continuous variable
- B. Discrete variable
- C. Function
- D. None of these
Explanation: The number of defective bulbs is a count and can take values such as 0, 1, 2, and so on, rather than every value on a continuum. Therefore it is a discrete variable.
Correct answer: Discrete variable147. If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared deviations from the x will be______________?
- A. 8
- B. 10
- C. 6
- D. 12
Explanation: The squared deviations from 4 are (2−4)², (3−4)², (4−4)², (5−4)² and (6−4)², which sum to 4+1+0+1+4 = 10. Thus the required total is 10.
Correct answer: 10148. A contractor employs 20 male, 15 female and 5 children in his factory. Male wages are Rs. 10 per day, female Rs. 8 per day, and children Rs. 3 per day. The weighted x of wages paid per day will be_____________?
- A. 3.86
- B. 8.37
- C. 9.21
- D. 10.63
Explanation: The weighted mean wage is total daily wages divided by total workers: (20×10 + 15×8 + 5×3) / 40 = 335/40 = 8.375, approximately Rs. 8.37. Equal weighting would be inappropriate because the groups have different sizes.
Correct answer: 8.37149. In a week the prices of a bag of rice were 350 ,280, 340, 290, 320, 310, 300. The range is_____________?
- A. 60
- B. 90
- C. 70
- D. 100
Explanation: The range is the largest value minus the smallest value. Here it is 350 − 280 = 70, so the weekly price range is 70.
Correct answer: 70150. If a distribution has two modes then this distribution is called______________?
- A. Uni-Modal
- B. Bi-Modal
- C. Tri-Modal
- D. Multi-Modal
- E. None of these
Explanation: A distribution with exactly two values having the highest frequency is called bimodal. Uni-modal has one mode, while tri-modal has three.
Correct answer: Bi-Modal