Page 23 - TOP CLASS MATHS T5 KSSM

Mathematics Form 5 Chapter 7 Measures of Dispersion for Grouped Data

16. Solve the following problems. PL 5 Daily Application HOTS Analysing
Selesaikan masalah berikut.

(a) The table shows the frequency distribution of the scores obtained by 32 participants in a contest.
Jadual di bawah menunjukkan taburan kekerapan skor yang diperoleh 32 peserta dalam suatu pertandingan.

Scores
Skor 1 – 5 6 – 10 11 – 15 16 – 20 21 – 25 26 – 30 31 – 35
Frequency
Kekerapan 1 3 6 9 7 4 2
(i) By using a scale of 2 cm to 5 scores on the horizontal axis and 2 cm to 4 participants on the vertical
axis, construct an ogive for the data.
Dengan menggunakan skala 2 cm kepada 5 skor pada paksi mengufuk dan 2 cm kepada 4 peserta pada paksi mencancang,
bina satu ogif bagi data tersebut
(ii) 25% of all the participants in the contest obtained marks less than m. Based on the ogive, find the
value of m.
25% daripada peserta dalam pertandingan tersebut memperoleh skor kurang daripada m. Berdasarkan ogif, cari nilai
bagi m.

(i) Upper boundary 0.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5
Sempadan atas
Cumulative frequency 0 1 4 10 19 26 30 32
Kekerapan longgokan

2 cm

Cumulative frequency 2 cm
Kekerapan longgokan

32

28

24

20

16

12

8

4

0
0.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5
Scores/ Skor

(ii) 25% × 32 = 8
m = 14

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