SUMMER 2026
PREDICTED PAPER
Mark Scheme (Results)
Summer 2026
Pearson Edexcel GCE
In Mathematics (9MA0)
Paper 31 Statistics
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,1 (a) Students’ marks, given as a percentage, on their recent statistics test were:
38 41 19 33 22 0 27 19 10 99
Find the mode, range, mean and median of the students’ marks.
Answer
The mode is the most common value
Mode = 19
[B1]
The range is the biggest value minus the smallest value
99 - 0 = 99
Range = 99
[B1]
The mean is the sum of all the values divided by the number of values
(38 + 41 +19 + 33 + 22 + 0 +27 + 19 +10 +99) ÷ 10 = 30.8
Mean = 30.8
[B1]
The median is the middle number when the values are in order
0 10 19 19 22 27 33 38 41 99
Find the midpoint of 22 and 27
(22 + 27) ÷ 2 = 24.5
Median = 24.5
[B1]
for more: tyrionpapers.com
, Examiner Tips and Tricks
You are unlikely to get a question like this in your actual exam. However, if you do
then you can also use the statistics mode on your calculator to find these statistical
measures.
(4 marks)
(b) Give a reason why the median is an appropriate measure of location for these data.
Answer
The median is an appropriate measure of location as it not affected by the extremely
high score of 99
[B1]
(1 mark)
2 The heights of females from a country are normally distributed with a standard deviation of
7.4cm.
Mia believes that the mean height of females from this country is less than 166.5cm
Mia takes a random sample of 50 females from this country and finds the mean of her
sample is 164.6 cm
Carry out a suitable test to assess Mia’s belief.
You should
state your hypotheses clearly
use a 5% level of significance
Answer
Method 1
Define the parameter to be tested
Let be the mean height of females from the country
for more: tyrionpapers.com
PREDICTED PAPER
Mark Scheme (Results)
Summer 2026
Pearson Edexcel GCE
In Mathematics (9MA0)
Paper 31 Statistics
for more resources: tyrionpapers.com
,1 (a) Students’ marks, given as a percentage, on their recent statistics test were:
38 41 19 33 22 0 27 19 10 99
Find the mode, range, mean and median of the students’ marks.
Answer
The mode is the most common value
Mode = 19
[B1]
The range is the biggest value minus the smallest value
99 - 0 = 99
Range = 99
[B1]
The mean is the sum of all the values divided by the number of values
(38 + 41 +19 + 33 + 22 + 0 +27 + 19 +10 +99) ÷ 10 = 30.8
Mean = 30.8
[B1]
The median is the middle number when the values are in order
0 10 19 19 22 27 33 38 41 99
Find the midpoint of 22 and 27
(22 + 27) ÷ 2 = 24.5
Median = 24.5
[B1]
for more: tyrionpapers.com
, Examiner Tips and Tricks
You are unlikely to get a question like this in your actual exam. However, if you do
then you can also use the statistics mode on your calculator to find these statistical
measures.
(4 marks)
(b) Give a reason why the median is an appropriate measure of location for these data.
Answer
The median is an appropriate measure of location as it not affected by the extremely
high score of 99
[B1]
(1 mark)
2 The heights of females from a country are normally distributed with a standard deviation of
7.4cm.
Mia believes that the mean height of females from this country is less than 166.5cm
Mia takes a random sample of 50 females from this country and finds the mean of her
sample is 164.6 cm
Carry out a suitable test to assess Mia’s belief.
You should
state your hypotheses clearly
use a 5% level of significance
Answer
Method 1
Define the parameter to be tested
Let be the mean height of females from the country
for more: tyrionpapers.com
