Question

In: Statistics and Probability

a) Use the Histogram tool to develop a frequency distribution for the number of days and...

a) Use the Histogram tool to develop a frequency distribution for the number of days and the browser used as a customer of this online store. Use your judgement for determining the number of bins to use.

b) Construct complete histogram graphs and numerical descriptions (that is, histograms and measures of location and dispersion) for the length of time the shopper spends on the website and the amount spent per transaction.

c) The company would like to investigate the effect that the day of the week have on sales. Summarize the total dollars spent and the mean amount spent per transaction for each day of the week. Briefly discuss your findings.

Customer Day Browser Time (min) Pages Viewed Amount Spent ($)
8 Fri Firefox 4.3 6 55.96
40 Wed Chrome 5.0 5 36.48
19 Fri Other 5.6 4 68.45
28 Sat Firefox 6.0 4 27.91
37 Thu Firefox 6.2 4 84.17
31 Thu Chrome 7.1 2 41.20
49 Mon Other 7.3 6 52.15
35 Tue Chrome 7.8 5 71.81
24 Tue Firefox 8.0 2 48.66
23 Sun Chrome 8.0 3 32.73
47 Thu Chrome 8.1 2 17.84
15 Fri Chrome 8.4 3 84.12
3 Mon Chrome 8.5 4 26.68
34 Fri Chrome 9.1 3 52.09
25 Fri Firefox 9.6 3 54.66
16 Thu Chrome 9.6 4 59.20
48 Fri Chrome 9.7 7 103.15
22 Tue Chrome 10.2 6 74.43
6 Sat Firefox 10.5 6 67.80
39 Tue Chrome 10.6 2 39.06
43 Fri Firefox 10.8 4 70.38
26 Wed Chrome 11.0 2 40.54
5 Wed Chrome 11.3 4 66.27
38 Sat Chrome 11.3 4 55.58
4 Tue Firefox 11.4 2 44.73
7 Sun Chrome 11.4 2 36.04
13 Sun Other 11.7 7 64.16
33 Sun Chrome 11.8 4 37.17
30 Mon Other 11.8 9 120.25
1 Mon Chrome 12.0 4 54.52
9 Wed Firefox 12.7 3 70.94
11 Sat Other 13.3 6 54.04
44 Mon Chrome 13.3 7 110.65
50 Fri Chrome 13.4 3 98.75
46 Fri Firefox 13.7 4 68.17
18 Mon Chrome 14.0 7 126.40
12 Sun Firefox 14.3 5 48.05
20 Wed Chrome 15.1 5 32.69
41 Tue Other 15.9 4 67.44
21 Sat Firefox 16.3 5 78.58
36 Mon Firefox 16.5 5 59.99
27 Sat Chrome 16.9 5 34.69
32 Fri Firefox 18.0 8 134.40
42 Sat Chrome 18.1 7 60.14
2 Wed Other 19.5 6 94.90
17 Thu Chrome 23.3 7 91.62
14 Mon Firefox 24.4 10 168.91
10 Tue Chrome 24.7 7 68.73
45 Mon Chrome 30.1 6 104.23
29 Fri Firefox 32.9 10 155.30

Solutions

Expert Solution

a)

The histograms for Day is obtained in excel by using following steps,

Step 1: Write the Data Values for Day in excel. The screenshot is shown below,

Step 2: make a column "Bin" for days mon, tue, .... The screenshot is shown below,

Step 3: Since the data values are categorical, we will count the frequency using the excel function =COUNTIF(B2:B51,"Mon") . The screesnhot is shown below,

Step 4: select the column "Bin" and "Frequency" then

INSERT > Recommended Charts > All Charts > Clustered Column > OK. The screenshot is shown below,

The histogram is obtained. the screenshot is shown below,

Similarly, the histogram for Browser can be obtained by making bin Firefox, Chrome and Other then count for each bin in data values. The histogram is shown below,

b)

The histogram for time spent is obtained in excel using follwoing steps,

Step 1: Write the data values for Time(min) in excel.

Step 2: Make a column Bin with range 5, 10, 15, 20, ....40. The screenshot is shown below,

Step 3: DATA Data Analysis > Histogram > OK. The screenshot is shown below,

Step 4: Select input range: Time column, Bin range: bin column. The screenshot is shown below,

Step 5: Select column bin and frequncy then INSERT > recommended Charts > All Charts > Clustered Column. The screenshot of histogram is shown below,

Similarly, the histogram for Amount Spent can be obtained by making bin size of your choice, e. g. Bin: 0, 25, 50...175. The screenshot of histogram is shown below,

c)

The total dollars spent and the mean amount spent per transaction for each day of the week can be obtained by folowing theses steps,

Step 1: Sort the data by day.

DATA > Sort > Expand the Selection > OK. then input Sort by: Daya, Sort On: Values and Order > Custome List

The screenshot is shown below,

Step 2: Take sum for each day of week using the excel function =SUM(F2:F10). The screenshot is shown below,

Step 3: Take average for each day of week using the excel function =AVERAGE(F2:F10). The screenshot is shown below,

The Sum and average for each day of week is shown below,

Sum Average
Mon 823.78 91.53111
Tue 414.86 59.26571
Wed 341.82 56.97
Thu 294.03 58.806
Fri 945.43 85.94818
Sat 378.74 54.10571
Sun 218.15 43.63

Step 4: Select column Day, Sum and Average then

INSERT > Recommended Charts > All Charts > Line > Ok. The screenshot is shown below,


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