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, Statistics Exam Bank 2026/2027: 100 MCQs with Answers
SECTION A: INTRODUCTION TO STATISTICS AND DATA TYPES
Question 1
A researcher collects information about the eye colors of participants in a study. This type of
data is best classified as:
A) Quantitative discrete data
B) Quantitative continuous data
C) Qualitative data
D) Interval data
E) Ratio data
Answer: C
Explanation: Qualitative data consist of categories distinguished by non-numeric characteristics.
Eye color represents categories (blue, brown, green, etc.) that cannot be measured numerically or
ordered meaningfully. This is a nominal level measurement because the categories have no
inherent ordering scheme.
Question 2
Which of the following represents a parameter rather than a statistic?
A) The average score of a sample of 200 students on a mathematics exam
B) The proportion of voters in a random sample who support a new policy
C) The mean income of all households in a country
D) The standard deviation calculated from a sample of 50 observations
E) The correlation coefficient between two variables measured in a sample
Answer: C
Explanation: A parameter is a measurement describing some characteristic of an entire
population. The mean income of all households in a country is a parameter because it describes
the complete population of households. Options A, B, D, and E all describe statistics because
they are calculated from samples, which are subcollections of members selected from a
population.
,Question 3
Which level of measurement allows for the calculation of meaningful ratios between values?
A) Nominal
B) Ordinal
C) Interval
D) Ratio
E) Both C and D
Answer: D
Explanation: The ratio level of measurement has all the properties of interval measurement plus
a natural zero starting point. This natural zero allows both differences and ratios to be
meaningful. For example, weight measured in kilograms has a true zero point, so we can say that
20 kg is twice as heavy as 10 kg. Interval measurement (such as temperature in Celsius) has
meaningful differences but no true zero, so ratios are not meaningful.
Question 4
The number of students enrolled in a university course is an example of:
A) Discrete quantitative data
B) Continuous quantitative data
C) Qualitative data
D) Ordinal data
E) Nominal data
Answer: A
Explanation: Discrete data result when the number of possible values is either finite or
countable. The number of students enrolled can only take whole number values (0, 1, 2, 3, ...)
and cannot be subdivided meaningfully. This is quantitative data because it represents counts or
measurements.
, Question 5
A researcher measures the time (in seconds) it takes for participants to complete a puzzle. This
type of data is classified as:
A) Discrete qualitative
B) Discrete quantitative
C) Continuous qualitative
D) Continuous quantitative
E) Nominal
Answer: D
Explanation: Continuous numerical data result from infinitely many possible values that
correspond to a continuous scale covering a range without gaps. Time measurements can take
any value within a range (e.g., 45.6 seconds, 45.67 seconds) and are not restricted to countable
whole numbers.
Question 6
A statistics student records the letter grades (A, B, C, D, F) earned by classmates on their final
exam. This data is best described as:
A) Interval level measurement
B) Ratio level measurement
C) Nominal level measurement
D) Ordinal level measurement
E) Discrete quantitative measurement
Answer: D
Explanation: Ordinal level data can be arranged in some meaningful order, but differences
between data values either cannot be determined or are meaningless. Letter grades have a clear
ordering (A is better than B, which is better than C, etc.), but the difference between A and B is
not necessarily equal to the difference between B and C.