# STA301 Statistics and Probability Assignment 1 Solution Spring 2014

Question 1:                                                                                                     Marks: 0.5×6 = 3

You have studied FOUR scales of measurement in your course. Looking at the following real life examples, can you determine which measurement scales is most suitable for each example?

 Example Suitable Scale People categorized according to religion (Muslim, Hindu, Christian) Positions obtained by students in a class (1st, 2nd, 3rd ) Temperature in different cities of Pakistan Height of students in a college Weight of students in a college Occupations (Doctor, Lawyer, Teacher etc.) adopted by individuals

Question 2:                                                                                                         Marks: 2+2+2=6

Class limits and there respective frequencies are given. Construct the columns of:

(i)                 Cumulative Frequency

(ii)               Class Boundaries

(iii)             Mid Points

 Class Limits Frequency = f Cumulative Frequency Class Boundaries Mid Points 35-39 15 40-44 13 45-49 17 50-54 28 55-59 11 60-64 10 65-69 5 Total 99

Question 3:                                                                                                   Marks: 2+2+2= 6

By using the given data set 150, 174,193, 211, 214, 219, 262, 271, 296, and 300; calculate the following measures of averages.

1)                  Arithmetic Mean

2)                  Geometric Mean

3)                  Harmonic Mean

Solution: