CALA COMPONENT B
THE CALA
CALA COMPONENT :
B
LEARNING AREA
:
MATHEMATICS
LEVEL
:
FORM 4
CALA TYPE
:
RESEARCH AND PROBLEM SOLVING
SYLLABUS TOPIC
:
STATISTICS
SYLLABUS SUB TOPIC: DATA REPRESENTATIONS AND MEASURES OF CENTRAL TENDENCIES (63)
CALA TITLE
: STATISTICS
COMPETENCIES / SKILLS: DATA COLLECTION, CLASSIFICATION, PRESENTATION AND MEASURING OF
CENTRAL TENDENCY.
BACKGROUND
It has been noted that learners have a negative attitude on statistics as a topic at school thereafter face
challenges when they proceed to tertiary education in research projects. They will lack data collection
technique and presentation.
CALA DESCRIPTION
This CALA consists of two parts, part A and part B and you are required to respond to all the two parts of
the CALA. This CALA will be marked out of 30.
PART A
Learners to collect data on ages(in years) for any 40 members of their church and represent the data in
a grouped frequency table using class intervals of 1-10, 11-20, 21-40, 41-50, 51-70,71-100.
Display data with correct frequencies. (6)
PART B
i.
Write down the modal class.
ii. Calculate the six class widths.
iii. Calculate the six frequency densities.
iv. On a graph paper, use the scale 2cm: 10 years on the horizontal axis and 2cm: 0,5units on the
vertical axis to draw a histogram to represent the above information.
v. Calculate class centres.
vi. Draw a frequency polygon on the same axes of the histogram.
LEARNER CALA GUIDE
CALA COMPONENT :
B
LEARNING AREA
:
MATHEMATICS
LEVEL
:
FORM 4
CALA TYPE
:
RESEARCH AND PROBLEM SOLVING
SYLLABUS TOPIC
:
STATISTICS
SYLLABUS SUB TOPIC: DATA REPRESENTATIONS AND MEASURES OF CENTRAL TENDENCIES (63)
CALA TITLE
: STATISTICS
COMPETENCIES / SKILLS: DATA COLLECTION, CLASSIFICATION, PRESENTATION AND MEASURING OF
CENTRAL TENDENCY.
BACKGROUND
It has been noted that learners have a negative attitude on statistics as a topic at school thereafter face
challenges when they proceed to tertiary education in research projects. They will lack data collection
technique and presentation.
CALA DESCRIPTION
This CALA consists of two parts, part A and part B and you are required to respond to all the two parts of
the CALA. This CALA will be marked out of 30.
PART A
Learners to collect data on ages(in years) for any 40 members of their church and represent the data in
in a grouped frequency table using class intervals of 1-10, 11-20, 21-40, 41-50, 51-70,71-100.
Display data with correct frequencies. (6)
PART B
vii. Write down the modal class (2)
viii. Calculate the six class widths (6)
ix. Calculate the six frequency densities (3)
x. On a graph paper, use the scale 2cm: 10 years on the horizontal axis and 2cm: 0,5units on the
vertical axis to draw a histogram to represent the above information. (6)
xi. Calculate class centres (3)
xii. Draw a frequency polygon on the same axes of the histogram. (4)
CALA TIPS


Ensure that as you ask for people’s ages, you have varied ages for easy diagrammatic
representation.
Tallying may help


Neatness improves a diagram’s appeal to the teacher
Submit your work on or before 11/10/21
HOW YOU WILL BE ASSESSED
The CALA will be assessed out of 40
MARKS WILL BE AWARDED FOR:
i.
ii.
iii.
iv.
v.
vi.
vii.
viii.
ix.
x.
Data collection
Grouped frequency table with correct frequencies
Correct modal class
Correct class width
Correct frequency densities
Correct scale
Correct histogram
Correct class centres
Correct frequency polygon
Submitting the work on time