Page 21 - TOP CLASS MATHS T5 KSSM

Mathematics Form 5 Chapter 7 Measures of Dispersion for Grouped Data

(b) Distance (m)
Jarak (m) 6.1 – 8.0 8.1 – 10.0 10.1 – 12.0 12.1 – 14.0 14.1 – 16.0
Frequency 3 8 12 7 2
Kekerapan

Distance (m) Frequency, f Midpoint, x fx fx 2
Jarak (m) Kekerapan, f Titik tengah, x
6.1 – 8.0 3 7.05 21.15 149.1075
8.1 – 10.0 8 9.05 72.4 655.22
10.1 – 12.0 12 11.05 132.6 1 465.23
12.1 – 14.0 7 13.05 91.35 1 192.1175
14.1 – 16.0 2 15.05 30.1 453.005
Σf = 32 Σfx = 347.6 Σfx = 3 914.68
2
Σfx 2 Σfx 2
2
Variance / Varians, σ = –  
Σf Σf
3 914.68 347.6 2
= –  
32 32
= 4.33984375
= 4.340 m
2
Standard deviation / Sisihan piawai, σ = 4.33984375
= 2.083 m

12. Based on the ogive given, construct a box plot. PL 4
Berdasarkan ogif yang diberi, bina satu plot kotak.

Example (a) Cumulative frequency/ Kekerapan longgokan
Cumulative frequency/ Kekerapan longgokan
40
60
35
50
30
40
25
30
20
20
15
10
10
0
5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 5
Score / Skor
Minimum value / Nilai minimum = 5.5 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Maximum value / Nilai maksimum = 40.5 Thickness/ Ketebalan (cm)
First quartile / Kuartil pertama = 17.0 Minimum value / Nilai minimum = 0
Median = 21.5 Maximum value / Nilai maksimum = 4.0
Third quartile / Kuartil ketiga = 25.5
First quartile / Kuartil pertama = 1.25
Median = 2.0
Third quartile / Kuartil ketiga = 2.65

5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5
Score/ Skor
0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Thickness/ Ketebalan (cm)

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