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Core Maths
Normal Distribution
J Clayden & London Core Maths Hub
Students Name: …………………………………………………………………..
Topic
Core Maths – Normal Distribution
Aims
 Test knowledge of various subjects
 Formative learning
Level
Level 3
Method
Normal Distribution (Core Maths) questions, handouts for
Students to complete and hand back into the teacher/tutor.
Equipment
 Laptop/Projector
 Pens/Pencils
 Printer
Duration
20-30 Minutes
Core Maths
Normal Distribution
Question 1
Core Maths
Normal Distribution
Question 2
The blood pressure of adult males in England is Normally distributed with mean 125
and standard deviation 8 with the danger level is regarded as 140.
There are 30 male teachers at Marylebone School. How many would you expect to find
with dangerously high blood pressure?
(5 marks)
AQA style
Question 3
Core Maths
Normal Distribution
Question 4
a)
For the standard normal distribution, the area to the right of z = 2.1 is
0.0179
b)
0.0358
For the standard normal distribution, the area to the left of z = -1.4 is
0.0808
c)
0.1616
0.9192
For the standard normal distribution, the area between z = -0.94 and z =
0.94 is
0.1736
d)
0.9821
0.3472
0.6528
For the standard normal distribution, the area between z = 0.68 and z =
1.57 is
0.1901
0.7517
0.9418
Suppose that the scores on a test have a normal distribution with mean 500 and
standard deviation 100. Use this data for questions e) and f)
e)
What is the z-score for a test score of 350?
-3.5
f)
-1.5
1.5
What is the proportion of scores between 450 and 600?
0.3085
0.5328
0.8413
AQA style
Core Maths
Normal Distribution
Question 5
AQA Style
Core Maths
Normal Distribution
Worksheet
Core Maths
Normal Distribution
Worksheet
Core Maths
Normal Distribution
Worksheet
For further information please contact The STEM Alliance
[email protected] or visit www.STEMalliance.uk