Topic: Summarizing Data (Frequency Distribution)

1. The following are the number of loans released by the cooperative on 110 business days:

62	60	43	64	58	52	52	67	59	60	51	60	54	55	57	49
62	56	63	61	68	57	51	59	47	42	64	66	53	57	51	59
43	67	52	58	47	59	64	58	52	63	48	63	65	61	66	56
65	60	61	59	63	56	62	56	62	57	39	58	62	45	58	64
52	56	63	55	73	60	69	53	66	54	52	78	58	55	57	46
54	61	55	65	55	61	59	74	62	49	63	64	65	67	60
63	53	71	59	46	61	41	60	54	55	64	61	61	50	61

a) Group these figure into a table having the classes 40 - 44, 45 - 49, 50 - 54, 55 - 59, 60 - 64, 65 - 69, 70 - 74, and 75 - 79.

b) Convert the distribution of part (a) into a cumulative "less than" distribution.

2. A retail athletic shoe store sold the following numbers of pairs of athletic shoes daily during seven weeks of six working days each

35	45	63	60	76	75	69	89	75	72	75	64	73	70
49	60	55	75	85	65	67	97	83	40	58	85	65	89
38	65	71	93	43	51	59	65	87	75	32	55	78	61

a) Group these daily sales figure into a distribution having the classes 90 - 99, 80 - 89, 70 - 79, 60 - 69, 50 - 59, 40 - 49, and 30 - 39.b) Convert the distribution of part (a) into a percentage distribution.

3. Analysis of the 40 grades on a college transcript, where the possible grades were A, B, C, D and F revealed that the students had attained the following:

B

F

A

C

D

B

C

C

C

B

B

C

B

C

A

C

C

B

C

C

B

C

B

A

C

D

C

B

D

B

C

B

A

D

C

B

C

C

B

C

Construct a table showing the frequencies corresponding to the grades achieved by the student.

4. The total number of overtime hours worked for each of 30 consecutive weeks by data processing personnel in an office was

252, 240, 244, 249, 224, 235, 235, 269, 216, 228, 230, 215, 236, 229, 221, 237, 253, 233, 228, 256, 210, 223, 222, 240, 231, 230, 244, 245, 255 and 230. Construct a stem and leaf plot with one digit leaves.

5. A double stem plot can be prepared manually as shown here. Using * as a place holder for 0, 1, 2, 3, and 4, and as a placeholder for 5, 6, 7, 8, and 9 we get

Stem	Leaf
4*	2
4	7	5	5	5
5*	4	1	1	1	3	4	1	1
5	7	8	9	8
6*	4	2	4	2
6	7	9	9	7
7*	2	2	4
7	8	8
8*	3

where we double the number of stems by cutting the interval covered by each stem in half.

a) Construct a double stem plot with one digit leaves and indicate the median for the following data:

252	240	244	249	224	235	235	269	216	228
230	215	236	229	221	237	253	233	228	256
210	223	222	240	231	230	244	245	255	230

41	37	52	41	46	50	47
36	44	51	37	38	44	56
30	34	28	40	39	41	40
38	36	49	43	46	31	31
43	29	31	33	46	37	35

b) The numbers of automobile mufflers installed each day in 35 consecutive days by an automobile muffler shop are

Construct a double stem plot with one digit leaves. Indicate the lower hinge, median and upper hinge.