Statistic Question

Department of Management

Faculty of Management and Human

Resource Development

SUBJECT:

SHD 1713: STATISTIC 1

LECTURER:

DR, LOW HOCK HENG

PREPARED BY:

NOOR AZNEE BINTI JUNAIDI

820423-12-5184

SX110698HDS04

ZULFADLY BIN SAIFUL

870314-56-5549

SX110718HDS04

MOHD RASYDUDDIN BIN MAT NAWI

830503-03-5829

SX110686HDS04

MOHD HAZRUL AZEWAN

810406-01-5451

SX105341HDD04

MOHD ASRI BIN MOHD ARIFIN

750203-08-5159

SX112315HDF04

MOHD FAKERRYIKMAL BIN KAMALUDIN

890417-59-5265

SX112317HDF04

1.

A researcher has collected data on a sample of 2,000 eels in Pacific Ocean. The

researcher measured the length of those eels and develops the following relative

distribution:

Class Length (cm)

25 to less than 30

30 to less than 35

35 to less than 40

40 to less than 45

45 to less than 50

50 to less than 55

55 to less than 60

Relative Frequency, fi

0.22

0.15

0.25

0.24

0.06

0.05

0.03

Develop a frequency distribution from the data above. Calculate the mean as weel.

Answer:

Class Length (cm)

25 to less than 30

30 to less than 35

35 to less than 40

40 to less than 45

45 to less than 50

50 to less than 55

55 to less than 60

Total

Midpoints,

m

27.5

32.5

37.5

42.5

47.5

52.5

57.5

Frequency, f

440

300

500

480

120

100

60

2000

c

∑m f

Mean from a frequency distribution , X =

jj

j=1

n

= 75400

2000

X = 37.7

Relative Frequency,

fi

0.22

0.15

0.25

0.24

0.06

0.05

0.03

1

Percentage

22

15

25

24

6

5

3

100

mf

12100

9750

18750

20400

5700

5250

3450

75400

2.

A randomly collected data of time taken (in minutes) to conduct test on a car engine

are as follows:

141

158

165

172

188

146

159

166

172

189

141

160

166

164

179

142

151

167

175

180

142

150

160

175

180

143

152

160

172

185

143

152

160

174

200

143

154

160

176

234

148

155

160

176

255

143

154

160

174

188

143

155...