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1.1 Measures of Central Tendency — Test 1
Q1. The mode of a data set is defined as the:✓ Most frequently occurring value
Q2. The median of a data set is the:✓ Value of the middle observation when data are arranged in order
Q3. The arithmetic mean is calculated as the:✓ Sum of all values divided by the number of values
Q4. Which measure of central tendency is most affected by extreme values (outliers)?✓ The mean
Q5. For a highly skewed distribution, the most appropriate measure of central tendency is usually the:✓ Median
Q6. The algebraic sum of deviations of all observations from their arithmetic mean is always:✓ Zero
Q7. The empirical relationship among the three averages (for a moderately skewed distribution) is:✓ Mode = 3 Median − 2 Mean
Q8. Which average is most suitable for purely qualitative (categorical) data such as colours?✓ The mode
Q9. The geometric mean is most appropriate for averaging:✓ Rates of change, ratios or growth rates
Q10. The harmonic mean is particularly suited to averaging:✓ Rates such as speeds (distance per unit time)
Q11. The median is described as a 'positional average' because it:✓ Depends on the position of values in the ordered data, not their magnitudes
Q12. A distribution that has two modes is described as:✓ Bimodal
Q13. For an open-ended frequency distribution (e.g. '60 and above'), the preferred average is the:✓ Median
Q14. When some values are more important than others, the appropriate average is the:✓ Weighted mean
Q15. In a perfectly symmetric distribution, the mean, median and mode are:✓ All equal
Q16. Which measure of central tendency uses every observation in its calculation?✓ The arithmetic mean
Q17. The mode can be directly identified from a histogram as the:✓ Value corresponding to the tallest bar (highest frequency)
Q18. The main advantage of the mean over the median is that the mean is:✓ Based on all observations and suitable for further algebraic treatment
Q19. The reliability of an average is judged using:✓ A measure of dispersion
Q20. Match each measure with its description and select the correct option.✓ A-iii, B-i, C-ii, D-iv