2 The local manager of Food Queen is interested in the numbe

2) The local manager of Food Queen is interested in the number of times a customer shops at her store during a two-week period. The responses of 51 customers were:   (Complete the distribution)

                            5   3   3   1   4    4    5   6   4   2   6    6    6    7    1

                            1   14   1   2   4    4     4    5   6    3   5   3   4   5   6

                            8   4   7   6   5    9    11   3    12    4   7    6   5   14   1

                            1    10   8   9   2    12

Classes

F

RF

CRF

   0 - 2

3 – 5

6 – 8

9 – 11

12 - 14

Data: Frequency Distributions and Graphic Presentation       

(a) Where do the data tend to cluster?

Solution

Reordering them from lowest to highest for easier inspection,

1
1
1
1
1
2
2
2
3
3
3
3
4
4
4
4
4
4
4
4
4
5
5
5
5
5
5
5
6
6
6
6
6
6
6
6
7
7
7
8
8
9
9
10
11
12
12
14
14
31

Thus, filling in the frequency column:

F:

9
21
13
4
4

*************************

Filling the RF column by dividing each entry by 51,

RF:

0.176470588
0.411764706
0.254901961
0.078431373
0.078431373

***********************************

Filling the CRF column by adding all RF up to that row:

CRF:

0.176470588
0.588235294
0.843137255
0.921568627
1

****************************************
A)

As we can see, the group with highest frequency is the 3-5 group. Data tends to cluster there. [ANSWER]