# 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