STRAND 4 DATA HANDLING.pptx cbnc for grade 6leaners

1. STRAND 4 DATA HANDLING
•By the end of the sub strand, the learner should be able to;
•Draw a frequency table of real-life situation data,
•Represent data from real life situations using pictographs
•Represent data from real life situation through piling,
•Represent data from real life situations using bar graphs,
•Interpret information from bar graphs,
•Appreciate use of bar graphs in real life

2. Collection of data
• Group Activity
• In groups of five
• Choose a story from a book
• Identify one paragraph in the story.
• Count the number of letters in each word from the paragraph.
• Record the results.
• 5.Discuss and share your results with other groups.

3. ASSESSMENT
• In groups of five:
• Record the ages, in years, of each pupil in your group.
• 2. Record the favorite subject of each member of the group.
• 3. Make a list of the favorite fruit of each member.
• Record the results number of family members for each pupil in your class.

4. Arranging data in order
Group Activity
In groups of four:
1.Write the marks obtained by each member of your group in the last
two assessments.
2 Arrange the marks in an ascending order.
Discuss your results and share with other groups

5. Example
The ages in years of twelve members of a youth club were recorded as:
23, 22, 20, 24. 23, 20. 23. 21. 19, 22, 18, 24
Solution
Arrange the marks in an ascending order. The marks in ascending order are:
18, 19, 20, 20, 21, 22, 22, 23, 23, 23, 24, 24

6. ASSESSMENT
1.Ten story books had the following number of pages:
70, 32, 45, 70, 50, 46. 70, 45, 46, 50.
Arrange the number of pages in an ascending order
2. In the last eight mathematics tests, Awilo scored the following marks:
72, 80, 85, 72, 86, 80, 80, 72
Write these marks in an ascending order
.

7. 3. The mass in kilograms of fish sold by a trader was:
13, 8, 7, 15, 13, 7,7, 4, I4, I3, 15, 13, 8, 7, 8.
Arrange the mass of the fish in ascending order.
4. Maneno sent nine parcels through the post office. The of each parcel in
grams was:
l0, 12, 8, 20,10, I12, 5. 10. 15.
Write the mass in ascending order.
5. Maua sold the following number of pineapples in ten days:
25. 41. 24, 35, 28, 20, L40, 35, 45; 50.
List the number of pineapples in an ascending order. Representing Data in
tables

8. Representing data in tables
• Representing data using tally marks
Group Activity
Grade Six pupils obtained the following marks in a maths test marked
out of 20:

9. Representing data using frequency tables
Group Activity
In groups of five:
Obtain l0 bottle tops of different colours.
2. Arrange the bottle tops according to their colours. Count and record the
number of bottle tops for each colour as in the table shown:
Discuss the results and share with other groups.
colour Number of bottle tops
Blue
Black
Red
green

10. Note
Number of bottles tops The number of times an item appears in the
data is called frequency
Example
The marks scored bų ten pupils in a language test were recorded as: 5,
7, 8, 5, I0, 7, 6, 5, 8, 10.Represent the marks in a frequency table.
Solution
colour Frequency
5 3
6 1
7 2
88 2
10 1

11. ASSESSMENT
1. The coins, in shillings, in a save box of a pupil were: 5, I, 40,5, 20, 5, I, 10, 20, 20, 5, 40.
(a) Write the value of the coins in an ascending order
(b) Make a frequency table to represent the i information.
2. Joshua harvested and recorded the number of tomatoes per plant as follows:
5. 7, 5, 8, 7, 10, 10, 7,10, 8, 8, 6, I0, 8 s
(a) Write the number of tomatoes in an ascending order
(b) Show the data in a frequency table.
(a) 3. The mass in grams of babies born in a hospital was recorded as:
3 700, 2 500. 2 600, 3 800. 2 500, 2 600, 2 500, 2 500.3 700, 2 600.
Represent the data in a frequency table.
4. The amount of milk in litres sold through a milk dispensing machine was:
2, 5, 3, 2, 4, 5, 2, 1, 2, 1, 1, 5, 4,3, 2.
Show the data in a frequency table.

12. Representing data using diagrams
• Representing data through piling
• Group Activity
• In groups of five:.
• Make a row of four different piles of Sh I coins.
• 2 Relate the height to the number of coins in each pile.
• 3. Discuss your observation and share it with other groups.
• Example
• 4 Maya had Sh 90, Fatuma Sh 130. Naliaka Sh 110 and Wambua Sh
150.Represent these amounts using piles of Sh 110 coins.

13. ASSESSMENT
1. Waliaula bought 8 mangoes, 5 oranges, 3 Apple and 6 lemons Using
one match box to represent one fruit, represent the fruits in piles.
2. The colours of 24 pencils in a packet were recorded as: 7red, 2
yellow, 5 black, 7 blue and 3 green.
Use match boxes to represent the information through piling.

14. Representing data using bar graphs
• group activity
• The diagram below shows the number of fuit on display during an agricultural
show
• mangoes apple melons oranges pineapple
8
7
6
5
4
3
2
1
0

15. One block represent one fruit
In pairs
1.count the number of fruit of each type that were on display
2. For each type of fruit, draw rectangles of same width anda height equal to
the height of the pile.
3. Discuss your drawing and share it with other groups.
Note
In the drawing, each pile is represented by a rectangle.
(i) All the rectangles are of the same width.
(ii) Each rectangle is a bar.
(iv) The drawing is called a bar graph.

16. Drawing bar graphs
• Bar graph representing small quantities
• Group activity
• The table below shows the colour of cars parked outside a
supermarket
COLOUR RED BLUE WHITE BLACK
NUMBER OF CARS 5 2 7 3

17. Use the table to draw a bar graph. In groups of five:
1.Draw a vertical and horizontal line and label as shown.
2. Using I cm to represent one car, find the heights of the bars representing
the number of cars for each colour.
3. Draw bars of the calculated height.
4. Discuss and share your results with other groups. Number
Number
of
cars
colour of cars

18. Example
• The table represent animals in waliaulas farm
Use 1cm to represent one animal and draw a bar graph to show the information
Solution
Type of animals cattle goats sheep Donkey
Number of animal 6 4 3 2

19. Assessment
• The table shows the type and number of trees in a farm. Use the
table to draw a bar graph.
Type of trees Number of trees
Orange
Lemon
Mango
avocado
4
6
7
9

20. Bar graph representing large quantities
Group Activity 8
In groups of five:
Discuss how you can draw a height of a bar in centimetres to represent
a)12cars b) 30cars c)100cars
Share your results with other qroups.

21. Note
• To represent a large quantitų using a bar of suitable height, useone
centimetre to represent a number of quantities.
• Example
• The table below shows the number of peopletreated in a hospital.
• Using 1cm to represent 10people draw a bar graph to represent the
information
day mon Tue wen thur Fri
Number of people 45 60 73 56 40

22. • Monday is represented by a 4 cm 5 mm bar.
• Tuesday is represented by a 6 cm bar.
• Wednesday is represented by a 7 cm 3 mm bar

23. Assessment
• The table below shows packets of maize flour sold in kiosks
• In pairs draw a bar graph to represent the information
Kiosk a b c d e
Packet of
flour
30 45 30 45 40

24. Interpreting bar graphs
• Interpreting bar graphs representing small quantities
• Group Activity
• The number of motorbikes sold by a trader in five days is represented
by the graph shown.

25. In groups of five, use the graph to answer the following questions:
1. On which day did the trader sell seven motorbikes?
2. How many more motorbikes did the trader sell on Day 4than on Day 1?
3. On which two days did the trader sell the same number of motorbikes?
4.On which day did he sell the most number of motorbikes?
5. How many motorbikes did he sell in five days?

26. Assessment
• The colour and number of dresses in Njoki's wardrobe areas shown.
Study the bar graph and answer the questions that follow.

27. (a) Which dress colour did she like most?
(b) How many more white dresses than red dresses are inthe wardrobe?
(c) Which dress colour did she like least?
(d) How many dresses were in the wardrobe?

28. Interpreting bar graphs representing large
quantities
Group Activity
In groups of five:
1.Draw a bar of height 4 cm and answer the following questions:
1.(a) If the bar is to represent 4 people, how many people will be
represented by I cm?
(b) If the bar is to represent 40 people, how many people will be
represented by I cm ?
2. Share your results with other groups.

29. Note
When interpreting bar graph involving large quantities. Identify the
quantity represented by 1 cm

30. Assessment
• The graph shows the number and the colour of cars parked out side
a shopping centre.
• Study the graph and answer the questions that follow

31. a) How many cars were black in colour?
(b) Which colour represents 30 cars?
(c) What was the colour of the most number of cars?
(d) How many cars were parked at the shopping centre altogether?