Question

A local retailer recently collected data on customers that frequent the store. The data are presented in the table below

	Items	Net Sales	Gender	Age
	1	59.25	Male	29
	1	153.6	Female	33
	1	33.75	Female	29
	5	150.6	Female	25
	2	81	Female	31
	1	66.75	Female	41
	2	117	Female	27
	1	33.75	Female	37
	2	84.78	Female	43
	1	66.75	Female	33
	1	44.25	Female	45
	1	47.4	Female	37
	9	240.6	Female	37
	2	96.75	Female	43
	1	74.25	Male	21
	2	107.1	Male	33
	3	141	Female	19
	3	81.75	Female	37
	2	57.75	Female	29
	6	67.2	Female	53
	1	47.4	Female	25
	4	106.23	Female	35
	7	399	Female	47
	2	111	Female	39
	2	59.25	Male	45
	1	45.03	Female	57
	1	66.75	Female	51
	5	289.2	Female	39
	3	106.8	Female	29
	1	27	Female	67

a. Develop a frequency distribution for the number of Items purchased. What is the probability that a customer will purchase 3 or fewer items? b. develop a frequency distribution and histogram for Net Sales using a class width of 25 (1-25, 26-50...). c. Use a pie chart to display the percentages of customers who are male or female. d. for the age data, determine the following: (1) mean: (2) Median (3) Mode (4) Interquartile range (5) 94nd percentile

Answer 1

(a)

Items	Frequency
1	13
2	8
3	3
4	1
5	2
6	1
7	1
8	0
9	1

Here, total frequency = 30. Hence, required probability = (13 + 8 + 3) = 24/30 = 0.80.

(c) The pie chart is given below:


(b)

Net Sales	Frequency
1-25	0
26-50	7
51-75	8
76-100	4
101-125	5
126-150	2
151-175	1
176-200	0
201-225	0
226-250	1
251-275	0
276-300	1
301-325	0
326-350	0
351-375	0
376-400	1

(d) Mean = 37.2, Median = 37, Mode = 29, IQR = Q3 - Q1 = 43 - 29 = 14, 94th percentile = 54.04.