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Statistic Word

By:   •  September 18, 2017  •  Coursework  •  1,688 Words (7 Pages)  •  1,158 Views

Page 1 of 7

[pic 1]

2)

Low

Medium

Moderately High

High

Zalora

3

0

0

0

Qoo10

2

0

0

1

Asos

0

3

0

1

From the table above we can conclude that Zalora’s product are of the lower price range while Qoo10 carries both high and low priced product and Asos carry products that are of medium priced and above.

3)

Price of Backpack($)

Number of Backpack

Relative Frequency (%)

0 up to 30

5

50

30 up to 60

3

30

60 up to 90

0

0

90 up to 120

2

20

Total

10

100

Determining class number

[pic 2]

[pic 3]

[pic 4]

[pic 5]

[pic 6]

Therefore, we decided to use 4.

Determining class interval

[pic 7]

[pic 8]

[pic 9]

Hence, we round out to 30.

4)

[pic 10]

[pic 11]

           = 51.599

[pic 12]

     Median Position = [pic 13][pic 14]

                                  =[pic 15]

                     = 5.5  

Average of 5th and the 6th   value = [pic 16]

                                                                                                 = 42.51

5)

Price of Backpack($)

Frequency (f)

Midpoint (M)

0 up to 30

5

15

30 up to 60

3

45

60 up to 90

0

75

90 up to 120

2

105

Grouped Mean

=  [pic 17][pic 18]

= [pic 19]

                                   

= 42

 = [pic 20][pic 21]

        =[pic 22]

       = 1290

S = 35.92[pic 23]

We would like to use grouped data as we only conduct the survey on a sample of 30 people. We have shortlisted the prices of 10 different backpacks and grouped the price into the frequency table above to determine the grouped mean and standard deviation on the prices of backpacks.

6)

Average Willingness to Buy

[pic 24]

Figure 1

Based on the figure above, 50% of the respondents will not buy product 1, 47% of them are unable to decide whether they want to buy or not and only 3% of the respondents will buy product 1.

[pic 25]

Figure 2

The figure above shows that 30% of the respondents will not buy product 2, 23% of them are unable to decide whether they want to buy or not and 47% of the respondents will buy product 2.

[pic 26]

Figure 3

Figure 3 shows that 53% of the respondents will not buy product 3, 37% of them are unable to decide whether they want to buy or not and 10% of the respondents will buy product 3.

[pic 27]

Figure 4

Based on the figure above, 33% of the respondents will not buy product 4, 17% of them are unable to decide whether they want to buy or not and 50% of the respondents will buy it.

[pic 28]

Figure 5

The figure above shows that 41% of the respondents will not buy product 5, 35% of them are unable to decide whether they want to buy or not and 24% of the respondents will buy product 5.

[pic 29]

Figure 6

According to figure 6, 56% of the respondents will not buy product 6, 17% of them are unable to decide whether they want to buy or not and 27% of the respondents will buy product 6.

[pic 30]

Figure 7

Based on the figure above, 36% of the respondents will not buy product 7, 17% of them are unable to decide whether they want to buy or not and 47% of the respondents will buy product 7.

[pic 31]

Figure 8

Figure 8 shows that 40% of the respondents will not buy product 8. Similarly, 40% of them are also unable to decide whether they want to buy or not and 20% of the respondents will buy product 8.

[pic 32]

Figure 9

The figure above shows that 13% of the respondents will not buy product 9, 34% of them are unable to decide whether they want to buy or not and 53% of the respondents will buy product 9.

Figure 10[pic 33]

Figure 10 shows that 47% of the respondents will not buy product 10, 33% of them are unable to decide whether they want to buy or not and 20% of the respondents will buy product 10.

7)

[pic 34]

[pic 35]

[pic 36]

[pic 37]

= -0.07048301657

= [pic 38][pic 39]

                                                               = 0.0049679

The relationship between average respondent’s willingness to buy and sales price is weak.

8)

$22.37

$24.80

$28.47

$28.53

$29.53

$36.93

$38.70

$43.87

$67.53

$75.79

[pic 40]

STEM

LEAF

2

2.37    4.8    8.47    8.53    9.53

3

6.93    8.7

4

3.87

6

7.53

7

5.79

The frequency distribution above shows that the values are grouped into classes. All numerical values in dataset is presented in the table. The leading number for each value is in ‘stem’ column which represent 10 units and the rest of the numbers are in ‘leaf’ column which is 1 unit.

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