STRAIGHTERLINE INTRODUCTION TO
STATISTICS QUESTIONS WITH
VERIFIED ANSWERS
1. Which of the following is an example of qualitative data?
A. Height in inches
B. Number of siblings
C. Temperature in Fahrenheit
D. Eye color
Answer: D
Conceptual Explanation: Eye color is a categorical or qualitative variable, whereas height,
temperature, and number of siblings are quantitative variables.
2. What type of sampling divides the population into mutually exclusive groups and then
takes a random sample from each group?
A. Cluster sampling
B. Stratified sampling
C. Simple random sampling
D. Convenience sampling
,Answer: B
Conceptual Explanation: Stratified sampling involves dividing the population into
homogenous groups called strata and drawing random samples from each stratum.
3. The sum of the deviations of each data value from the mean is always equal to:
A. One
B. The variance
C. Zero
D. The median
Answer: C
Conceptual Explanation: The sum of the deviations of the observations from their
arithmetic mean is always zero.
4. If a distribution is skewed to the right, which of the following is generally true?
A. Mode < Median < Mean
B. Mean = Median = Mode
C. Mean < Median < Mode
D. Median < Mode < Mean
Answer: A
, Conceptual Explanation: In a right-skewed (positively skewed) distribution, the extreme
high values pull the mean upward, making the mean greater than the median, and the
median greater than the mode.
5. What is the probability of an impossible event?
A. 0.5
B. 1
C. -1
D. 0
Answer: D
Conceptual Explanation: The probability of an event that cannot occur is always 0.
6. Which measure of center is most affected by outliers?
A. Mean
B. Mode
C. Median
D. Interquartile range
Answer: A
Conceptual Explanation: The mean takes every value into account, making it sensitive to
extremely high or low values (outliers).
STATISTICS QUESTIONS WITH
VERIFIED ANSWERS
1. Which of the following is an example of qualitative data?
A. Height in inches
B. Number of siblings
C. Temperature in Fahrenheit
D. Eye color
Answer: D
Conceptual Explanation: Eye color is a categorical or qualitative variable, whereas height,
temperature, and number of siblings are quantitative variables.
2. What type of sampling divides the population into mutually exclusive groups and then
takes a random sample from each group?
A. Cluster sampling
B. Stratified sampling
C. Simple random sampling
D. Convenience sampling
,Answer: B
Conceptual Explanation: Stratified sampling involves dividing the population into
homogenous groups called strata and drawing random samples from each stratum.
3. The sum of the deviations of each data value from the mean is always equal to:
A. One
B. The variance
C. Zero
D. The median
Answer: C
Conceptual Explanation: The sum of the deviations of the observations from their
arithmetic mean is always zero.
4. If a distribution is skewed to the right, which of the following is generally true?
A. Mode < Median < Mean
B. Mean = Median = Mode
C. Mean < Median < Mode
D. Median < Mode < Mean
Answer: A
, Conceptual Explanation: In a right-skewed (positively skewed) distribution, the extreme
high values pull the mean upward, making the mean greater than the median, and the
median greater than the mode.
5. What is the probability of an impossible event?
A. 0.5
B. 1
C. -1
D. 0
Answer: D
Conceptual Explanation: The probability of an event that cannot occur is always 0.
6. Which measure of center is most affected by outliers?
A. Mean
B. Mode
C. Median
D. Interquartile range
Answer: A
Conceptual Explanation: The mean takes every value into account, making it sensitive to
extremely high or low values (outliers).
