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1. Which measure of central tendency is most affected by extreme scores?
a) Mean
b) Median
c) Mode
d) Range
Answer: a)
Explanation: The mean incorporates all values, so extreme outliers pull it more
than median or mode.
2. If a dataset’s mean = median, the distribution is most likely:
a) Positively skewed
b) Negatively skewed
c) Symmetrical
d) Bimodal
Answer: c)
Explanation: In a perfectly symmetrical distribution, mean, median, and mode are
equal.
3. Which measure best represents variability in a dataset?
a) Mean
b) Standard deviation
,c) Median
d) Mode
Answer: b)
Explanation: Standard deviation measures average distance of scores from the
mean.
4. In a normal distribution, approximately what percentage of data lies within ±1
standard deviation?
a) 50%
b) 68%
c) 75%
d) 95%
Answer: b)
Explanation: Empirical rule: ±1 SD = 68%, ±2 SD = 95%, ±3 SD = 99.7%.
5. Which of the following is NOT a measure of central tendency?
a) Mean
b) Median
c) Range
d) Mode
Answer: c)
Explanation: Range measures spread, not central tendency.
6. If a test is very easy and most students score high, the distribution will likely
be:
a) Symmetrical
b) Positively skewed
,c) Negatively skewed
d) Bimodal
Answer: c)
Explanation: Negatively skewed = tail on the left; happens when most scores are
high.
7. The interquartile range (IQR) is defined as:
a) Q1 – Q3
b) Q3 – Q1
c) Q1 + Q3
d) Mean of Q1 and Q3
Answer: b)
Explanation: IQR = Q3 – Q1; it measures the middle 50% of data.
8. Which is the most appropriate central tendency measure for skewed data?
a) Mean
b) Median
c) Mode
d) Standard deviation
Answer: b)
Explanation: Median is less affected by outliers and skewness.
9. A bimodal distribution has:
a) One peak
b) Two peaks
c) No peaks
d) A long tail
, Answer: b)
Explanation: Bimodal = two distinct modes (peaks).
10. Which statistic changes if we switch from Celsius to Fahrenheit?
a) Mean only
b) Standard deviation only
c) Both mean and standard deviation
d) Neither
Answer: c)
Explanation: Linear transformations change both mean and SD, though variability
scaling differs.
11. Which visualization is best for displaying continuous data distribution?
a) Bar graph
b) Histogram
c) Pie chart
d) Scatter plot
Answer: b)
Explanation: Histograms display frequency for continuous intervals.
12. In a histogram, adjacent bars should:
a) Touch each other
b) Have gaps between them
c) Be arranged in alphabetical order
d) Be arranged randomly
Answer: a)
Explanation: Continuous data has no gaps between class intervals.