Chapter 17.2 (Mathematics 5)

Representation of Data through Piling

Representation of data through piling

Group Activity 3

In groups of ten.

  1. Get an empty match box each.
  2. Write the name of your favourite fruit on a piece of paper and place it on a table.
  3. Group leader collects the papers and groups the papers according to favourite fruits.
  4. The leader writes the name of each fruit on a piece of paper and places the papers on a table as shown.
  1. Each member carefully places a matchbox on the paper on which the favourite fruit is written to form a pile.
  2. Show the representation of the piles on a manila paper.
  3. Discuss and share with other groups.

Example 1

Pupils in a certain class recorded the number of members in their families as:
6, 5, 2, 3, 4, 5, 3, 2, 4, 6, 5, 4, 5, 3, 6, 5, 7, 4, 5 and 6.

Make a table and represent the information by piling matchboxes.

Members in the family

Tally marks

Number of pupils

2

|

2

3

|||

3

4

||||

4

5

卌 

6

6

||||

4

7

|

1

The information is represented by piling matchboxes as shown:

Exercise C

Value of coins

Tally marks

Number of coins

Sh 5

||||

Sh 10

卌 卌 |

Sh 20

卌 |||

Sh 40

||

  1. Complete the table.
  2. Represent the information by piling matchboxes.

Move slaiders to „piling match­boxes“.

  1. Complete a table to show this information.
  2. Represent this data by piling textbooks of same size.

Number on spinners

Tally marks

Number of times

1

2

3

4

5

6

  1. Complete a table to show this information.
  2. Fill all slots with a „matchbox“ or an empty block.

Colour

White

Grey

Red

Blue

Black

No of cars

  • ⋅
  • ▇

White

Grey

Red

Blue

Black

Exercise D

Example 2

A fruit vendor had

  • 7 water­melons,
  • 6 pineapples,
  • 4 pawpaws and
  • 3 thorn melons

in her kiosk. Represent the data by piling matchboxes.

D1

Mkabwa planted the following types of trees in his farm:

  1. ​3 eucalyptus,
  2. 4 pines,
  3. 8 grevillea,
  4. 5 jacaranda.

Represent the information by piling matchboxes.

D2

The number of patients discharged from a hospital in a certain week was recorded as:

  1. ​Monday 8,
  2. Tuesday 3,
  3. Wednesday 5,
  4. Thursday 4,
  5. Friday 5.

​Represent this information by piling mathematics textbooks.

Control your result with an interactive matchboxes by moving the sliders.

Interactive matchboxes D1–D3

The marks scored by twenty pupils in a test marked out of 20 were as follows:

​10, 15, 11, 13, 15, 14, 13, 15, 10, 14, 15, 11, 10, 13, 12, 15, 12, 15, 14 and 11.

​Complete table and represent the data by piling matchboxes.

Marks

10

11

12

13

14

15

No

Sign

a)

b)

c)

d)

e)

f)