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 24 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 RF CRF 0-2 3- 5 6-8 12-14 (a) Where do the data tend to cluster?

Solution

Sorting the data for easier counting,

1
1
1
1
1
2
2
2
3
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

We do the following:

1. For the f column, we simply count how many fall in that category.

2. In the RF (relative frequency column), we divide the items in \"F\" by 50, the number of items.

3. For the CRF, we add the the entries of the RF column up to that row.

Thus, the entries in the F column are:

F

8
21
13
4
4

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

The entries in the RF column are:

RF:

0.16
0.42
0.26
0.08
0.08

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

For the CRF,

CRF:

0.16
0.58
0.84
0.92
1

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

a. We saw that the data had clustered in 3-5, as the relative frequency there is highest at 0.42. [ANSWER]