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STA301 Assignment No. 1 Spring 2012

Assignment.1 (Lessons 1-9)

Question 1:                            Marks: 3+2+2=7

The following data shows the ages of 50 cancer patients admitted inShaukatKhanamMemorialHospital,Lahore.

48 29 31 32 54 33 44 36 38 31
46 30 20 44 47 39 42 35 33 47
31 35 34 42 41 42 43 35 32 35
43 36 37 45 46 41 25 27 26 40
38 41 44 47 45 45 52 43 44 43

Make a frequency distribution and also find class boundaries and mid points.(take interval 5,starting from 20 as lower value).

Question 2:                 Marks: 4+4=8

Compute Mean and Mode from the following data.

Classes

Frequency

0.7312 – 0.7313

10

0.7314 – 0.7315

15

0.7316 – 0.7317

20

0.7318 – 0.7319

25

0.7320 – 0.7321

30

0.7322 – 0.7323

8

0.7324 – 0.7325

2

SOLUTION:

Q1:

Classes Mid points Frequency Class boundaries
20-24 22 1 19.5-24.5
25-29 27 3 24.5-29.5
30-34 32 9 29.5-34.5
35-39 37 10 34.5-39.5
40-44 42 14 39.5-44.5
45-49 47 8 44.5-49.5
50-54 52 2 49.5-54.5


Q2: Mode:

Class boundaries
0.731-0.731
0.731-0.731
0.731-0.731
0.731-0.731
0.731-0.732
0.732-0.732
0.732-0.732

L=0.73195

Fm=30

F1=25

F2=8

H=0.0002

Mode

=0.7319

Mean:

Σfx=80.49

Σf=110

So the mean is 0.7317

 

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