Page 109 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\05_Chapter_4\Chapter_4
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

From the table, we can see that 6 students like to play Ludo, 5 students like to play Chess, and so
on. The number 6 is the frequency of Ludo, and the number 5 is the frequency of Chess, and so on.

The number of times a particular observation or value occurs is called the frequency of that
observation or value. When the data is organised in a table using tally marks, it is called frequency
table or frequency distribution table.

Knowledge Desk
Bones or wooden sticks have been used since
ancient times for data recording as a counting
device. These were called ‘Tally Sticks’. In 1937,
an 18 cm long radial wolf bone was discovered
in Czech Republic and is dated 30,000 years
ago.
Most famous Ishango bone was found in an Wolf bone Ishango Bone
excavation in Ishango, in the north east of the Democratic Repulic of Congo, in 1950 and it is dated to be
22,000 years old. Take the help of internet to explore more about these tally sticks.

Example 1: In the game of Snakes and Ladders, a die was thrown 40 times and the number that
appeared on the top in each throw was recorded as follows:

1 4 6 2 3 5 6 2 1 1 3 5 6 2 6 3 5 6 5 6
1 4 4 6 2 3 5 6 2 1 5 4 6 5 3 6 3 5 1 6

(a) Make a frequency distribution table for collected data using tally marks.

(b) Which number appeared the maximum number of times?
(c) Which number appeared the minimum number of times?

(d) How many more times did number 5 appear than number 2?
Solution: (a) We can make a frequency distribution table for the collected data using tally marks
as shown below.

Number Tally marks Number of students
1 | 6

2 5

3 | 6
4 |||| 4

5 ||| 8
6 | 11

Total 40
(b) The number 6 appeared the maximum number of times, i.e., 11 times.

(c) The number 4 appeared the minimum number of times, i.e., 4 times.

(d) The frequency of the number 2 is 5, and that of number 5 is 8. So, number 5 appeared
3 times more than number 2.

107 Data Handling and Presentation