Statistics
Measures of
location and spread
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) State whether each variable is qualitative 3) Calculate the 3 averages and range for
or quantitative: the data set below:
a) Car colour Qualitative
Quantitative
b) Miles travelled by a cyclist Peas in a pod 3 4 5 6 7
c) Favourite pet Qualitative
Frequency 4 7 11 18 6
d) Number of siblings Quantitative
Mean 5.33
2) State whether each of these variables is Median 6
discrete or continuous
Discrete Mode 6
e) Number of pets owned
Continuous
f) Distance walked by hikers Range 4
g) Fuel consumption of lorries Continuous
Discrete
h) Number of peas in a pod
i) Times taken by a group of athletes to run
1500m. Continuous
, Teachings for
Exercise 2A and 2B
, Measures of location and spread
A measure of location is a single value
which is used to represent a set of
data. Examples include the mean,
median and mode
These can also be known as ‘measures of
central tendency’
The mode or modal class is the value or
class with the highest frequency The sum of ( represents
The mean, each number in the data
‘x-bar’ set)
The median is the middle value when the
data is put into ascending (or descending)
order
The mean is calculated using the formula: 𝑥=
∑𝑥
𝑛 The number of
You need to start using ‘proper’
‘bits’ of data
notation!
2A/B
Measures of
location and spread
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) State whether each variable is qualitative 3) Calculate the 3 averages and range for
or quantitative: the data set below:
a) Car colour Qualitative
Quantitative
b) Miles travelled by a cyclist Peas in a pod 3 4 5 6 7
c) Favourite pet Qualitative
Frequency 4 7 11 18 6
d) Number of siblings Quantitative
Mean 5.33
2) State whether each of these variables is Median 6
discrete or continuous
Discrete Mode 6
e) Number of pets owned
Continuous
f) Distance walked by hikers Range 4
g) Fuel consumption of lorries Continuous
Discrete
h) Number of peas in a pod
i) Times taken by a group of athletes to run
1500m. Continuous
, Teachings for
Exercise 2A and 2B
, Measures of location and spread
A measure of location is a single value
which is used to represent a set of
data. Examples include the mean,
median and mode
These can also be known as ‘measures of
central tendency’
The mode or modal class is the value or
class with the highest frequency The sum of ( represents
The mean, each number in the data
‘x-bar’ set)
The median is the middle value when the
data is put into ascending (or descending)
order
The mean is calculated using the formula: 𝑥=
∑𝑥
𝑛 The number of
You need to start using ‘proper’
‘bits’ of data
notation!
2A/B
