Reference no: EM13972935

Assignment 1: Application of Descriptive Statistics

Instruction

Read the situation carefully and answer the questions. Some questions require computations and brief explanations, while others require constructing tables and graphs. Situation

A study on blood cholesterol level was conducted among pre­menopausal and post­menopausal women in a clinic. See the data below on their HDL and LDL and answer the questions that follow:

ID#	Menopause	LDL	HDL
1	Y	120	62
2	N	110	75
3	Y	126	76
4	Y	189	47
5	N	113	78
6	Y	152	56
7	N	105	78
8	N	125	72
9	Y	172	50
10	N	122	77
11	Y	156	59
12	N	108	68
13	Y	180	55
14	N	125	62
15	N	126	78
16	Y	170	56
17	Y	206	42
18	Y	189	46
19	N	126	60
20	N	115	76
21	N	124	57
22	Y	174	40
23	Y	190	48
24	Y	192	40
25	Y	226	40
26	Y	210	40
27	Y	212	39
28	Y	194	45
29	Y	198	47
30	Y	197	47
31	N	118	68
32	Y	130	70
33	N	133	66
34	Y	206	55
35	Y	224	50
36	Y	190	55
37	Y	182	47
38	Y	128	50
39	Y	139	66
40	N	120	65

Questions A

1. Construct an ungrouped frequency distribution of the LDL showing the frequencies (f), percentages (%), cumulative frequencies (cf), and cumulative percentages (c%). Describe the data using this approach.

2. Construct a grouped frequency distribution of the HDL showing the frequencies (f), percentages (%), cumulative frequencies (cf), and cumulative percentages (c%) for each class interval. Describe the data using this approach.

3. What is the best way to present HDL or LDL in this dataset? Justify your choice (whether grouped or ungrouped frequency distribution).

Questions B

1. Construct a table showing the distribution of the HDL and LDL of the women. Write a brief narrative (text) describing the table.

2. Construct a graph comparing the LDL between pre menopause and post menopause women. Write a brief narrative (text) describing the graph.

Question C

1. Compute for the measures of tendency: mean, median, mode. Which of the three measures is the best estimator of the HDL? Justify your answer.

2. Compute for the variance (or standard deviation) of HDL. What does this mean in relation to the mean?

3. Given the mean and standard deviation computed above, and assuming the sample was representative of the population, if the normal LDL is less than 130, what percentage of women had normal LDL? Show computation or the use of online calculator.

4. Given the mean and standard deviation computed above, if you were to conduct an intervention program targeting women with high LDL (LDL ≥ 130), what percentage will be included? Show computation or the use of online calculator

5. Given the mean and standard deviation computed above, if the intervention program targets women with low HDL (HDL < 50), what percentage will be included? Show computation or the use of online calculator