Preparing a multiple frequency table


QUESTION 1:

Consider program of obtaining blood groups from a simple random sample of 100 school leavers around Klang Valley as shown in Table.

Table 1:

Male

B    AB    A    A    B    A     B    B    AB    A   A    B      O      O    AB   O                                        

O    A      B    O    O    B     AB  B    A      A   B    B       AB   A    A      B

AB   A     B    O   O     B     AB  B    A     B     O     O    O     B    A      B      

A     O

Female

AB    AB    A    B    B    A     B     B    AB   A   A    B    AB   O    AB   O                                       

O      A       B    O    B    B     AB  B    A      A   B    B    AB   A    A      B

AB    A       B    O    O    B     AB   B    A     B   O    B    O      B    A     B      

A     AB

a) Prepare a multiple frequency table for blood groups of both genders.

b) Using your frequency table, draw a multiple bar chart to represent the information.

c) Make a comparison between genders for the following aspects:

i) Most common blood group
ii) Minimum frequency of blood group
iii) Maximum frequency of blood group.

QUESTION 2:

Data in Table represents the lifespan (in thousands Kilometers) for a sample of 34 tyres used in a factory.

Table:

56.1    56.9    58.2    57.0    57.6    56.5    56.6    56.4    58.0
56.7    56.8    58.9    57.8    57.6    56.8    56.8    56.7    58.9
56.8    61.9    54.5    60.2    55.3    58.0    56.5    62.2    56.2
58.7    54.8    57.8    61.0    57.8    59.2    60.3           

Based on the data,

a) Construct a frequency distribution. Take 1.2 as a class width and 54.0 as a lower limit of the first class.

b) Draw a histogram and frequency polygon.

QUESTION 3:

Refer to the frequency table in Question (2a), calculate the following:

a) mean
b) mode
c) standard deviation
    
QUESTION 4:

Table shows the frequency distribution of the weight (in kg) of 65 rugby players of a university college.

Table 3:

Weight (kg)/        Frequency/
Berat (kg)           Kekerapan
60 - 64                      2
65 - 69                      x
70 - 74                      8
75 - 79                      4x
80 - 84                      5x
85 - 89                      3
90 - 94                      2

Determined:   

a) the value of x   
b) first quartile  
c) median  
d) third quartile.  
e) inter-quartile range.

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Basic Statistics: Preparing a multiple frequency table
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