Statistic

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 ZULFADLY BIN SAIFUL MOHD RASYDUDDIN BIN MAT NAWI MOHD HAZRUL AZEWAN MOHD ASRI BIN MOHD ARIFIN MOHD FAKERRYIKMAL BIN KAMALUDIN 820423-12-5184 870314-56-5549 830503-03-5829 810406-01-5451 750203-08-5159 890417-59-5265 SX110698HDS04 SX110718HDS04 SX110686HDS04 SX105341HDD04 SX112315HDF04 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

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

c

∑m f
Mean from a frequency distribution , X = j=1 j j

n

= 75400 2000
X = 37.7

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

Draw a box plot from the data above Answer
141 150 160 167 179 141 151 160 172 180 142 152 160 172 180 142 152 160 172 185 143 154 160 174 188 143 155 164 175 189 143 158 165 175 200 146 159 166 176 234 148 160 166 176