Normal Distribution statistics

Describe how the following frequency table was prepared. Check several of the intervals to see if you get the same frequency.

Frequency distribution of ages (at last birthday)
of 400 HIV positive men, San Francisco
Reported age limits Frequency (fi )
20-24 2
25-29 85
30-34 135
35-39 91
40-44 57
45-49 20
50-54 10
Total 400
∗Adapted from: Parker, A.W.: Relationships of Organization Characteristics in Multi-specialty
Group Practices to Primary Care Performance.

Ages (last birthday) of 400 HIV positive men, San Francisco
49 40 28 31 27 27 32 34 27 32
42 36 28 32 33 40 28 25 47 40
28 38 35 32 23 39 31 26 31 31
40 51 32 29 30 28 34 29 34 36
42 38 37 28 27 28 38 38 40 33
52 37 45 35 39 28 33 30 40 37
37 32 33 32 28 49 31 30 33 29
37 33 41 44 37 29 31 54 36 34
40 38 47 42 42 36 37 28 35 32
30 36 28 28 30 28 34 28 34 37
41 33 30 38 42 41 49 43 38 38
40 30 33 35 26 47 42 49 40 36
37 30 50 44 33 28 37 29 34 38
34 50 38 47 29 35 38 34 38 32
38 27 37 34 29 32 34 41 40 39
36 28 33 33 44 31 36 25 42 38
31 37 32 28 43 35 26 29 34 38
26 30 39 30 30 36 36 32 29 35
35 40 50 28 50 32 29 37 32 26
32 34 25 40 44 49 31 26 26 34
40 34 44 33 34 37 28 29 25 24
42 42 43 35 34 34 31 41 40 25
41 28 34 38 26 29 35 37 32 39
38 30 35 36 49 34 29 27 41 35
30 41 40 39 28 39 29 29 32 27
27 27 34 38 36 37 30 47 30 33
29 31 32 39 31 34 31 39 29 29
27 44 33 30 43 26 34 33 40 44
34 39 39 33 42 37 52 34 26 29
52 40 40 32 31 30 28 30 35 33
37 33 30 33 32 45 32 35 27 48
34 39 27 30 31 30 33 30 43 31
46 41 37 44 26 36 39 29 33 32
30 34 32 49 30 39 46 37 31 39
33 29 34 44 33 39 32 42 48 34
28 36 25 30 30 27 27 37 26 31
27 34 48 36 35 35 33 29 32 31
29 30 25 30 43 30 43 28 37 47
31 29 33 42 37 33 34 28 42 34
33 27 36 35 35 41 31 52 32 27

4. Compute the mean, and standard deviation using the frequency distribution
in this table. Use Histogram command.
If we take groups of 25 what is their mean and standard error.
What is the P ( avg age of sample > 40) )
What is the P( total age of the sample > 1000)