SOPHIA STATISTICS UNIT 5 FINAL PAPER 2026
QUESTIONS WITH COMPLETE SOLUTIONS
GRADED A+
◉ Median is. Answer: the middle number in a set once it is in order
◉ Median for an even number of data values. Answer: half way
between the middle two values
◉ Mode form a frequency table. Answer: the value with the highest
frequency
◉ Mean. Answer: add up the data points and divide by n (the
number of numbers)
◉ Mean from a frequency table. Answer: Total of all results (value x
f)
divided by total frequency
◉ Interquartile range. Answer: Upper quartile Q3- lower quartile Q1
,◉ Interquartile range. Answer: How spread out is the middle 50% of
data.
◉ Right skew. Answer: More data on the right.
◉ Left skew. Answer: More data on the left.
◉ Box plots (box-and-whisker plots). Answer: 5 pieces of
information
◉ Tally charts. Answer: Always enter each tally separately
◉ Stem and leaf diagram. Answer: Leaves must be in order
There must be a key
◉ Comparing distributions talk about:. Answer: An average - such as
median or mean
The spread of the data; the range or interquartile range
◉ Large range or interquartile range implies. Answer: less
consistency, more spread out
, ◉ Qualitative data. Answer: non-numerical data such as hair colour
or gender.
◉ Quantitative data. Answer: Has numbers! Two types:
Discrete(Number of people)
Continuous (6.32m)
◉ Mutually exclusive. Answer: Events which can't happen together.
EXAMPLE: You can't get a 1 on a dice and an even number at the
same time!
◉ Statistics. Answer: Science of collecting, organizing, representing,
and explaining data
◉ Sample size. Answer: Number of people asked a statistical
question
◉ Mean. Answer: A measure of center also known as the average
◉ Median. Answer: A measure of center - the exact middle
◉ Mode. Answer: A measure of center - listed most often
QUESTIONS WITH COMPLETE SOLUTIONS
GRADED A+
◉ Median is. Answer: the middle number in a set once it is in order
◉ Median for an even number of data values. Answer: half way
between the middle two values
◉ Mode form a frequency table. Answer: the value with the highest
frequency
◉ Mean. Answer: add up the data points and divide by n (the
number of numbers)
◉ Mean from a frequency table. Answer: Total of all results (value x
f)
divided by total frequency
◉ Interquartile range. Answer: Upper quartile Q3- lower quartile Q1
,◉ Interquartile range. Answer: How spread out is the middle 50% of
data.
◉ Right skew. Answer: More data on the right.
◉ Left skew. Answer: More data on the left.
◉ Box plots (box-and-whisker plots). Answer: 5 pieces of
information
◉ Tally charts. Answer: Always enter each tally separately
◉ Stem and leaf diagram. Answer: Leaves must be in order
There must be a key
◉ Comparing distributions talk about:. Answer: An average - such as
median or mean
The spread of the data; the range or interquartile range
◉ Large range or interquartile range implies. Answer: less
consistency, more spread out
, ◉ Qualitative data. Answer: non-numerical data such as hair colour
or gender.
◉ Quantitative data. Answer: Has numbers! Two types:
Discrete(Number of people)
Continuous (6.32m)
◉ Mutually exclusive. Answer: Events which can't happen together.
EXAMPLE: You can't get a 1 on a dice and an even number at the
same time!
◉ Statistics. Answer: Science of collecting, organizing, representing,
and explaining data
◉ Sample size. Answer: Number of people asked a statistical
question
◉ Mean. Answer: A measure of center also known as the average
◉ Median. Answer: A measure of center - the exact middle
◉ Mode. Answer: A measure of center - listed most often
