If the arithmetic mean of a sample is 20 and median is 22, the distribution is likely: MCQ with Answer and Explanation

If the arithmetic mean of a sample is 20 and median is 22, the distribution is likely:
A. Negatively skewed
B. Symmetric
C. Positively skewed
D. Normal
Answer: Option A
Solution (By JKExamLibrary)
Mean < Median suggests negative skewness (left-skewed).

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?
A. Sum of deviations property
B. Linearity
C. Invariance under change of origin
D. Minimum sum of squared deviations

Correct Answer: Option A


Explanation:
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Which of the following is a disadvantage of the mailed questionnaire method for primary data collection?
A. Requires highly trained enumerators
B. High cost per respondent
C. Low response rate and potential non-response bias
D. Limited geographical coverage

Correct Answer: Option C


Explanation:
Mailed questionnaires often suffer from low return rates, and respondents who reply may differ systematically from non-respondents, introducing bias that is difficult to assess or correct.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
A frequency distribution that uses 'less than' or 'more than' type classes is called:
A. Simple frequency distribution
B. Bivariate frequency distribution
C. Cumulative frequency distribution
D. Grouped frequency distribution

Correct Answer: Option C


Explanation:
Cumulative frequency distributions sum frequencies up to a point or from a point.

This question belongs to: Accountancy and Statistics Statistics