Free Descriptive Statistics MCQs with Answers
238 Descriptive Statistics MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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238 questions · page 13 of 24
121. 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 variable122. 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 100123. 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 variable124. 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: 10125. 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: 8.37126. 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: 70127. 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-Modal128. The Harmonic Mean of any two numbers is________________?
- A. a+b2
- B. 2aba+b
- C. ab−−√
- D. a+b
Explanation: For two positive numbers, the harmonic mean is the reciprocal of the average of their reciprocals: 2ab divided by a+b. Thus option b gives the required formula.
Correct answer: 2aba+b129. Which of the following Measure of averages is affected by extreme (very small or very largE. values in data set?
- A. Geometric Mean
- B. Median
- C. Arithmetic Mean
- D. Harmonic Mean
- E. Mode
Explanation: The arithmetic mean uses every observation, so an extremely large or small value directly pulls it upward or downward. The median and mode are generally less affected by such extremes.
Correct answer: Arithmetic Mean130. Geometric means of X1 and X2 is________________?
- A. X1+X2
- B. X1+X2x
- C. X1+X2−−−−−−−√
- D. X1×X2−−−−−−−√
- E. X1−−−√+X2−−−√
Explanation: For two values, the geometric mean is the square root of their product, √(X₁X₂). Adding the values gives the arithmetic mean expression, not the geometric mean.
Correct answer: X1×X2−−−−−−−√