EDEXCEL AS LEVEL MATHEMATICS PAPER 21
STATISTICS COMPLETE COMPREHENSIVE ACTUAL
FINAL PRACTICE EXAM PREP WITH REAL WELL
ELABORATED AND MOST TESTED EVALUATION 100
PRACTICE QUESTIONS AND 100% CORRECT
VERIFIED ANSWERS FULLY SOLVED (BASED ON
OFFICIAL IDOI OUTLINE) WITH ACCURATE
RELIABLE RATIONALES PLUS APPROVED ANSWER
KEY (100% COMPLETE SOLUTIONS) LATEST
UPDATED VERSION 2026-2027 Q&A 93% SCORE AND
ABOVE INSTANT DOWNLOAD PDF
1. A histogram is used to represent the distribution
of a continuous variable. The area of each bar
represents:
a) The frequency density
b) The frequency
c) The class width
d) The midpoint of the class
Rationale: In a histogram, the area of the bar is
, proportional to the frequency. Frequency =
frequency density × class width.
2. The heights of a group of students are
measured. Heights are an example of:
a) Qualitative data
b) Quantitative continuous data
c) Quantitative discrete data
d) Ordinal data
Rationale: Height is a numerical measurement
that can take any value within a range, making
it quantitative and continuous.
3. In a box plot, the line inside the box represents
the:
a) Mean
b) Median
c) Mode
d) Range
Rationale: A box plot visually displays the five-
number summary; the line inside the box is the
median (Q2).
,4. Which of the following measures of central
tendency is most affected by extreme outliers?
a) Mean
b) Median
c) Mode
d) Interquartile range
Rationale: The mean is calculated using all data
values, so an extreme value will pull the mean
towards it, affecting it significantly.
5. For a data set, the lower quartile (Q1) is 25 and
the upper quartile (Q3) is 45. The interquartile
range (IQR) is:
a) 70
b) 20
c) 35
d) 10
Rationale: The interquartile range is calculated
as IQR = Q3 - Q1 = 45 - 25 = 20.
6. A data set has a standard deviation of 0. This
implies that:
, a) The mean is zero
b) The data is normally distributed
c) All the data values are identical
d) The range is very large
Rationale: Standard deviation measures the
spread of data around the mean. A value of 0
means there is no spread, so every data point
must be the same.
7. The variable 'number of cars in a household' is:
a) Qualitative
b) Continuous
c) Discrete
d) Ordinal
Rationale: The number of cars is a count of
items, which can only take whole number values
(0, 1, 2, ...), making it quantitative discrete data.
8. A weather station records the daily maximum
temperature. The type of sampling that involves
selecting every 10th day to check the records is
called:
STATISTICS COMPLETE COMPREHENSIVE ACTUAL
FINAL PRACTICE EXAM PREP WITH REAL WELL
ELABORATED AND MOST TESTED EVALUATION 100
PRACTICE QUESTIONS AND 100% CORRECT
VERIFIED ANSWERS FULLY SOLVED (BASED ON
OFFICIAL IDOI OUTLINE) WITH ACCURATE
RELIABLE RATIONALES PLUS APPROVED ANSWER
KEY (100% COMPLETE SOLUTIONS) LATEST
UPDATED VERSION 2026-2027 Q&A 93% SCORE AND
ABOVE INSTANT DOWNLOAD PDF
1. A histogram is used to represent the distribution
of a continuous variable. The area of each bar
represents:
a) The frequency density
b) The frequency
c) The class width
d) The midpoint of the class
Rationale: In a histogram, the area of the bar is
, proportional to the frequency. Frequency =
frequency density × class width.
2. The heights of a group of students are
measured. Heights are an example of:
a) Qualitative data
b) Quantitative continuous data
c) Quantitative discrete data
d) Ordinal data
Rationale: Height is a numerical measurement
that can take any value within a range, making
it quantitative and continuous.
3. In a box plot, the line inside the box represents
the:
a) Mean
b) Median
c) Mode
d) Range
Rationale: A box plot visually displays the five-
number summary; the line inside the box is the
median (Q2).
,4. Which of the following measures of central
tendency is most affected by extreme outliers?
a) Mean
b) Median
c) Mode
d) Interquartile range
Rationale: The mean is calculated using all data
values, so an extreme value will pull the mean
towards it, affecting it significantly.
5. For a data set, the lower quartile (Q1) is 25 and
the upper quartile (Q3) is 45. The interquartile
range (IQR) is:
a) 70
b) 20
c) 35
d) 10
Rationale: The interquartile range is calculated
as IQR = Q3 - Q1 = 45 - 25 = 20.
6. A data set has a standard deviation of 0. This
implies that:
, a) The mean is zero
b) The data is normally distributed
c) All the data values are identical
d) The range is very large
Rationale: Standard deviation measures the
spread of data around the mean. A value of 0
means there is no spread, so every data point
must be the same.
7. The variable 'number of cars in a household' is:
a) Qualitative
b) Continuous
c) Discrete
d) Ordinal
Rationale: The number of cars is a count of
items, which can only take whole number values
(0, 1, 2, ...), making it quantitative discrete data.
8. A weather station records the daily maximum
temperature. The type of sampling that involves
selecting every 10th day to check the records is
called:
